Applied regression analysis bibliography update 1988-89

The 25-page Bibliography in Applied Regression Analysis, 2nd edition, by N.R. Draper and H. Smith, published by Wiley in 1981, is extended by a list of selected references available during 1988-89, and a few older references inadvertently omitted from previous lists. It is hoped that this will be useful to regression practictioners. Items were chosen on the basis of their perceived relevance to practical applications (sometimes rather widely interpreted). The classification system used is that of the book.

The references were selected mostly from the issues of these journals: Annals of Statistics; Applied Statistics: Biometrika; Canadian Journal of Statistics; Bulletin of the International Statistical Institute; Journal of the American Statistical Association; Journal of Quality Technology; Journal of the Royal Statistical Society, Series A and B; and Technometrics.

The author would appreciate being notified of errors, however slight, so that these do not persist in future compilations.     

A practical method for analysing heavy tailed data

An important practical issue of applying heavy tailed distributions is how to choose the sample fraction or threshold, since only a fraction of upper order statistics can be employed in the inference. Recently, Guillou & Hall ( 2001 ; Journal of Royal Statistical Society B, 63, 293–305) proposed a simple way to choose the threshold in estimating a tail index. In this article, the author first gives an intuitive explanation of the approach in Guillou & Hall ( 2001 ; it Journal of Royal Statistical Society B, 63, 293–305) and then proposes an alternative method, which can be extended to other settings like extreme value index estimation and tail dependence function estimation. Further the author proposes to combine this method for selecting a threshold with a bias reduction estimator to improve the performance of the tail index estimation, interval estimation of a tail index, and high quantile estimation. Simulation studies on both point estimation and interval estimation for a tail index show that both selection procedures are comparable and bias reduction estimation with the threshold selected by either method is preferred. The Canadian Journal of Statistics © 2009 Statistical Society of Canada     

Imputation for statistical inference with coarse data

Coarse data is a general type of incomplete data that includes grouped data, censored data, and missing data. The likelihood‐based estimation approach with coarse data is challenging because the likelihood function is in integral form. The Monte Carlo EM algorithm of Wei & Tanner [Wei & Tanner (1990). Journal of the American Statistical Association, 85, 699–704] is adapted to compute the maximum likelihood estimator in the presence of coarse data. Stochastic coarse data is also covered and the computation can be implemented using the parametric fractional imputation method proposed by Kim [Kim (2011). Biometrika, 98, 119–132]. Results from a limited simulation study are presented. The proposed method is also applied to the Korean Longitudinal Study of Aging (KLoSA). The Canadian Journal of Statistics 40: 604–618; 2012 © 2012 Statistical Society of Canada     

Testing for order among K populations: theory and examples

Testing for stochastic order among K populations is a common and important problem in statistical practice. It arises in the analysis of both planned experiments and observational studies. The authors develop a new nonparametric test for order among K populations that can accommodate any stochastic ordering. The test is based on a maximally selected chi‐bar‐square statistic. The authors find its limiting distribution and use simulations to derive critical values. Three important examples are used to illustrate the applicability of the general method. The authors find that the new tests outperform the existing methods in many practical cases. The Canadian Journal of Statistics 38: 97–115; 2010 © 2009 Statistical Society of Canada     

The S-system computation of non-central gamma distribution

The non-central gamma distribution can be regarded as a general form of non-central χ² distributions whose computations were thoroughly investigated (Ruben, H., 1974, Non-central chi-square and gamma revisited. Communications in Statistics, 3(7), 607–633; Knüsel, L., 1986, Computation of the chi-square and Poisson distribution. SIAM Journal on Scientific and Statistical Computing, 7, 1022–1036; Voit, E.O. and Rust, P.F., 1987, Noncentral chi-square distributions computed by S-system differential equations. Proceedings of the Statistical Computing Section, ASA, pp. 118–121; Rust, P.F. and Voit, E.O., 1990, Statistical densities, cumulatives, quantiles, and power obtained by S-systems differential equations. Journal of the American Statistical Association, 85, 572–578; Chattamvelli, R., 1994, Another derivation of two algorithms for the noncentral χ² and F distributions. Journal of Statistical Computation and Simulation, 49, 207–214; Johnson, N.J., Kotz, S. and Balakrishnan, N., 1995, Continuous Univariate Distributions, Vol. 2 (2nd edn) (New York: Wiley). Both distributional function forms are usually in terms of weighted infinite series of the central one. The ad hoc approximations to cumulative probabilities of non-central gamma were extended or discussed by Chattamvelli, Knüsel and Bablok (Knüsel, L. and Bablok, B., 1996, Computation of the noncentral gamma distribution. SIAM Journal on Scientific Computing, 17, 1224–1231), and Ruben (Ruben, H., 1974, Non-central chi-square and gamma revisited. Communications in Statistics, 3(7), 607–633). However, they did not implement and demonstrate proposed numerical procedures. Approximations to non-central densities and quantiles are not available. In addition, its S-system formulation has not been derived. Here, approximations to cumulative probabilities, density, and quantiles based on the method of Knüsel and Bablok are derived and implemented in R codes. Furthermore, two alternate S-system forms are recast on the basis of techniques of Savageau and Voit (Savageau, M.A. and Voit, E.O., 1987, Recasting nonlinear differential equations as S-systems: A canonical nonlinear form. Mathematical Biosciences, 87, 83–115) as well as Chen (Chen, Z.-Y., 2003, Computing the distribution of the squared sample multiple correlation coefficient with S-Systems. Communications in Statistics—Simulation and Computation, 32(3), 873–898.) and Chen and Chou (Chen, Z.-Y. and Chou, Y.-C., 2000, Computing the noncentral beta distribution with S-system. Computational Statistics and Data Analysis, 33, 343–360.). Statistical densities, cumulative probabilities, quantiles can be evaluated by only one numerical solver power low analysis and simulation (PLAS). With the newly derived S-systems of non-central gamma, the specialized non-central χ² distributions are demonstrated under five cases in the same three situations studied by Rust and Voit. Both numerical values in pairs are almost equal. Based on these, nine cases in three similar situations are designed for demonstration and evaluation. In addition, exact values in finite significant digits are provided for comparison. Demonstrations are conducted by R package and PLAS solver in the same PC system. By doing these, very accurate and consistent numerical results are obtained by three methods in two groups. On the other hand, these three methods are performed competitively with respect to speed of computation. Numerical advantages of S-systems over the ad hoc approximation and related properties are also discussed.     

Reviews and Notices

Abstract

Statistics of Infectious Diseases: Statistik der Infectiosen Erkrankungen in den Jahren 1881-91, und Untersuchung der Einflusses der Witterung. By Josef Körösi, Director des Communal-statistischen Bureaus, Budapest. Berlin, 1894. Puttkammer und Mühlbrecht.

Mortality in Australia: Tropical Mortality. By Richard Teece, F.I.A., F.F.A., Actuary of the Australian Mutual Provident Society. Reviewed by Miles Menander Dawson.

Labor Statistics: Third Annual Report of the Bureau of Industrial Statistics of Maryland. 1895. A. B. Howard, Jr., Chief. Pp. 196.

Labor Statistics: Eighth Annual Report of the Bureau of Industry and Labor Statistics for Maine. August, 1895. Pp. 219.

Labor Statistics: Annual Report of the Secretary of Internal Affairs of the Commonwealth of Pennsylvania. Part III. Industrial Statistics, Vol. XXI. 1893. Harrisburg, 1894.

Labor Statistics: Sixth Biennial Report of the Commissioner of Labor, Wisconsin, 1893-94. J. Dobbs, Commissioner. Madison, 1894. Pp. 119, 221.

Labor Statistics: Seventh Annual Report of the Commissioner of Industrial Statistics of Rhode Island. 1884. Providence. Pp. xii, 337.

Labor Statistics: Second Annual Report of the Bureau of Industrial Statistics of Maryland. A. B. Howard, Jr., Chief. 1894. Annapolis. Pp.387.

Labor Statistics: Statistics of Coal in Illinois. Twelfth Annual Report. A Supplementary Report of the State Bureau of Labor Statistics, containing the 10th Annual Report of the State Inspectors of Mines. George A. Schilling. Springfield, 1894. Pp. lxxix, 162.

Labor Statistics: Sixteenth Annual Report of the Bureau of Statistics of Labor and Industry of New Jersey for the Year Ending October 31, 1893. Trenton, 1894. Pp. iv, 490.

Labor Statistics: Seventh Annual Report of the Board of Mediation and Arbitration of the State of New York. January 22, 1894. Albany. Pp. 334.

Labor Statistics: Jahrsbericht Deutsche Erwerbs-und Wirthschaftsgenossenschaften. By D. F. Schenck. Leipzig.

Labor Statistics: Sixteenth Annual Report of the Bureau of Labor Statistics and Inspection of Missouri for the Year Ending November 5, 1894. Jefferson City. Pp. 531.

Labor Statistics: Tenth Annual Report of the Bureau of Labor Statistics, Connecticut, for the Year Ending November 30, 1894. Hartford. Pp, 398.

Charities and Corrections: The Sixty-Fifth Annual Report of the Inspectors of the Penitentiary for the Eastern District of Pennsylvania. Philadelphia, 1894. Pp. 178.

Charities and Corrections: Fifth Report of the Board of State Charities of Indiana for the Year Ending October 31, 1894. Indianapolis. 1894. Pp. 104. Part 2. Proceedings of the Third Annual State Conference of Charities. Pp. 62.

Charities and Corrections: Semi-Centennial of the New York Association for Improving the Condition of the Poor. October, 1894. Pp. 275.

Charities and Corrections: The 19th Annual Session of the Directors of the Poor of Pennsylvania, held at Williamsport, October 17-19, 1893. Pittsburg, 1894. Pp.201.

Charities and Corrections: Twelfth Biennial Report of the Michigan State Board of Corrections and Charities, 1893-94. Lansing, 1895. Pp, 263.

Charities and Corrections: Twenty-Sixth Annual Report of the Board of State Charities and Corrections of Rhode Island. 1895. Pp. 164.

Statistical Year-Books and Almanacs: The Statesman's Year-Book, 1895. Edited by J. Scott Keltie. Thirty-second Annual Publication. London, 1895. Pp, xxxi, 1156.

Statistical Year-Books and Almanacs: The Statistical Year-Book of Canada for 1893. Department of Agriculture. Ottawa, 1894.

Statistical Year-Books and Almanacs: The Financial Reform Almanac, 1895. Thirty-first issue. London. Pp.296.

Statistical Year-Books and Almanacs: Album de Statistique Graphique de 1893. Ministry of Public Works. Paris, 1894. Pp. xviii. Plates, 21.

Statistical Year-Books and Almanacs: Statistisches Jahrbuch der Schweiz. Fourth year. 1894. Statistical Bureau of the Department of the Interior. Berne, 1894. Pp. xviii, 444.

Statistical Year-Books and Almanacs: Mineral Resources of the United States. 1893. David T. Day. Chief of Division of Mining Statistics. United States Geological Survey. Washington, 1894. Pp.810.

Statistical Year-Books and Almanacs: The Tradesman's Annual. Chattanooga, Tenn. Pp.218. January 1, 1895.

Statistical Year-Books and Almanacs: The Wool Book and Statistical Manual, Containing Latest Financial Information of the Production, Movement, and Consumption of Wool in all Countries, Textile Schedules of the Tariff of 1894, Manufacturing Tables, etc. By S. N. D. North, Secretary of the National Association of Wool Manufacturers. Boston, 1895. Pp 142.

Statistical Year-Books and Almanacs: The World Almanac and Encyclopedia, 1895. Pp. 481.     

Book reviews

Donald J. Koosis: Statistics. A Self-Teaching Guide, Fourth Edition. Wiley 1997, ISBN 0-471-14688-9

Christopher C. Heyde: Quasi-Likelihood and Its Applications, Springer Series in Statistics, 1997, pp. 235, [ISBN 0-387-98225-61

Jeffrey S. Simonoff: Smoothing Methods in Statistics, Springer Series in Statistics, 1996, pp. 338

Andr´e I. Khuri, Thomas Mathew and Birmal K. Sinha: Statistical Tests for Mixed Linear Models, Wiley Series in Probability and Statistics, 1998, pp. 352, PSBN 0-471-1 5653-11

Ronald Christensen: Log-Linear Models and Logistic Regression, Springer Texts in Statistics, 1997, pp. 483, [ISBN 0-387-98247-71

E. L. Lehmann: Testing Statistical Hypotheses, Springer Texts in Statistics, 1997, pp. 600, [ISBN 0-387-94919-41

S. R. Searle, G. Casella and Ch. E. McCulloch: Variance Components, Wiley and Sons, 1992, pp. 496, [ISBN 0-471-62162-51

B. J. T. Morgan: Analysis of Quantal Response Data, Chapman & Hall, 1992, pp. 51 1

Carl D. Huberty: Applied Discriminant Analysis, Wiley and Sons, 1994, pp. 490

C. R. Rao and H. Toutenburg: Linear Models. Least Squares and Alternatives, Springer Series in Statistics, 1995, 188 pp., [ISBN 0-387-94562-81     

On the Ghoudi,Khoudraji, and Rivest test for extreme‐value dependence

Ghoudi, Khoudraji & Rivest [The Canadian Journal of Statistics 1998;26:187–197] showed how to test whether the dependence structure of a pair of continuous random variables is characterized by an extreme‐value copula. The test is based on a U‐statistic whose finite‐ and large‐sample variance are determined by the present authors. They propose estimates of this variance which they compare to the jackknife estimate of Ghoudi, Khoudraji & Rivest ( 1998 ) through simulations. They study the finite‐sample and asymptotic power of the test under various alternatives. They illustrate their approach using financial and geological data. The Canadian Journal of Statistics © 2009 Statistical Society of Canada     

Reviews and Notices

Abstract

Ohio Building and Loan Associations: Fourth Annual Report of the Inspector of Building and Loan Associations of Ohio, for 1894. Columbus. Pp. 515. Reviewed by Stephen H. Wilder

Labor Statistics: Fourth Biennial Report of the Bureau of Labor of Minnesota for 1893–94. L. G. Powers, Commissioner. St. Paul, 1895. Pp. 546.

Labor Statistics: Seventeenth Annual Report of the Bureau of Statistics of Labor of New Jersey, for the Year Ending October 31, 1894. Trenton, 1895. Pp.568.

Labor Statistics: Eighteenth Annual Report of the Bureau of Labor Statistics of Ohio for 1894. Columbus. Pp. 395.

Labor Statistics: Second Annual Report of the Bureau of Labor of New Hampshire, 1894. Pp. xxxvi, 539. Concord, 1895.

Labor Statistics: Annual Report of the Bureau of Statistics for the Province of Ontario, 1894. Toronto, 1895. Six parts, paged separately.

Labor Statistics: Report on the Question of Employers' Liability in Germany. Foreign Office, Miscellaneous Series. Reports of 1894. No. 325. London, 1894. Pp. 29.

Labor Statistics: Ninth Annual Report of the State Board of Arbitration and Conciliation of Massachusetts for 1894. Boston, 1895. Pp. 153.

Labor Statistics: Report on Profit-Sharing. By D. F. Schloss, Labor Department, Board of Trade. London, 1894. Pp. 198.

Labor Statistics: Seventh Special Report of the Commissioner of Labor. The Slums of Baltimore, Ohicago, New York, and Philadelphia. Carroll D. Wright, Commissioner. Washington, 1894. Pp. 620.

Unemployment: Twenty-fourth Annual Report of the Massachusetts Bureau of Statistics of Labor. March, 1894. Boston. Pp.311. Reviewed by Edward W. Bemis.

Foreign Statistical Annuals: The Statistical Year Book of Canada for 1894. 10th Year. Issued by the Department of Agriculture. Ottawa, 1895. Pp. 1134.

Foreign Statistical Annuals: The Statistical Register of the Colony of the Cape of Good Hope for the Year 1894, with Supplement for March Quarter, 1895. Cape Town, 1895. Pp, 320. Diagram of Imports, Exports, Revenue, and Expenditure, 1876–1894.

Foreign Statistical Annuals: Statistics of the Colony of Queensland for the Year 1894. Brisbane, 1895. Pp. 356.

Foreign Statistical Annuals: Jahrbuch für bremische Statistik, 1894. Nos. 1 and 2. Bremen, 1895. Pp. 275, 270.

Foreign Statistical Annuals: Statistisk Aarbog for Kongeriget Norge. 14th Year, 1894. Christiania, 1894. Pp. 198.

Foreign Statistical Annuals: Statistisk Arsbok for Finland. 16th Year, 1895. Helsingfors, 1895. Pp. 181.

Foreign Statistical Annuals: Statistisches Jahrbuch für das deutsche Reich. Published by the Kaiserliches Statistisches Amt. 16th Year, 1895. Berlin. Pp. 218; 5 diagrams.

Foreign Statistical Annuals: Annuaire Statistique de la Belgique. 25th year, 1894. Brussels. Pp. ix, 369, xxi.

Foreign Statistical Annuals: Oesterreichisches statistisches Handbuch. 13th Year, 1894. Vienna, 1895. Pp. 320.

Foreign Statistical Annuals: Résumé Statistique de l'Empire du Japon. 9th Year. Tokio, 1895. Pp. 148; maps and charts.

Publications of the Treasury Bureau of Statistics: Cotton in Commerce. Statistics of United States, United Kingdom, France, Germany, Egypt, and British India. Pp. 37.

Publications of the Treasury Bureau of Statistics: Imports for Consumption into the United States, 1884–94, with Rates of Duties and Duties Paid, and Ad Valorem Equivalents of Duties. Pp. 269.

Publications of the Treasury Bureau of Statistics: Movement of Prices, 1840–1894. Saurbeck, London Economist, United States Senate Tables. Pp. 22.

Publications of the Treasury Bureau of Statistics: In addition the Bureau publishes a monthly bulletin entitled Principal Articles of Domestic Export, pp. 8.

Publications of the Treasury Bureau of Statistics: Immigration and Passenger Movement at United States Ports, 1894. Chief of Bureau of Statistics. Washington, 1895. Pp. 77.

Vital Statistics: Todesursaehen-Statistik im deutschen Reiche wührend des Jahres 1892, mit Bemerkungen von Sanitätsrath Dr. A. Würzburg.

Vital Statistics: Popolazione Movimento dello Stato Civile. Anno 1894. Roma, 1895.

Vital Statistics: Twelfth Annual Report of the Superintendent of Health, Providence, R. I., for 1894. Pp. 47. Charles V. Chapin, Superintendent of Health.     

An Adventure in Publishing: Eighteen Years of the Applied Probability Trust1

This paper describes the foundation of the Applied Probability Trust and the launching of the Journal of Applied Probability in 1964. The Trust office was set up in Sheffield in 1965; the Trust has since published Mathematical Spectrum (1968) and Advances in Applied Probability (1969). Various other publishing ventures are described, and some statistics given for the Applied Probability journals. In conclusion, tentative plans for the future of the Trust are outlined.     

Reviews of Books and Teaching Materials

ActivStats 2.0.: Paul Velleman. Reading, MA: Addison-Wesley, 1998, CD-ROM, $44.25, ISBN: 0-201-31068-6.

The Active Practice of Statistics.: David S. Moore. New York: W. H. Freeman & Co., 1997, xv + 352 pp., $49.95, ISBN: ISBN 0-7167-3140-1. Reviewed by Jon Maatta

Introduction to Statistical Reasoning.: Gary Smith. Boston: McGraw-Hill, 1998, xviii + 654 pp., $46.00, ISBN: 0-07-059276-4. Reviewed by Robert W. Hayden

Modern Applied Statistics with S-Plus (2nd ed.).: William N. Venables and Brian D. Ripley. New York: Springer-Verlag, 1997, xvii + 548 pp., $59.95, ISBN: 0-387-98214-0. Reviewed by Karen Kafadar James R. Koehler

A Course in Mathematical Statistics (2nd ed.): George C. Roussas. San Diego: Academic Press, 1997, xx + 572 pp., $59.95, ISBN: 0125993153. Reviewed by David W. Macky     

Testing exchangeability of copulas in arbitrary dimension

A test for exchangeability of copulas for arbitrary dimensions is proposed, generalising and extending a result by Genest et al. [(2012), ‘Tests of Symmetry for Bivariate Copulas’, Annals of the Institute of Statistical Mathematics, 64, 811–834]. Three test statistics together with some modifications are presented and their asymptotical behaviour is analysed. Empirical p-values are computed by using a bootstrap-procedure proposed by Rémillard and Scaillet [(2009), ‘Testing for Equality between Two Copulas’, Journal of Multivariate Analysis, 100, 377–386] and suggested by Bücher and Dette [(2010), ‘A Note on Bootstrap Approximations for the Empirical Copula Process’, Statistics & Probability Letters, 80, 1925–1932], based on a multiplier central limit theorem by van der Vaart and Wellner [(1996), Weak Convergence and Empirical Processes, Springer Series in Statistics, New York: Springer]. Finally a simulation study compares various versions of the proposed tests.     

Reviews of Books and Teaching Materials

Understanding Basic Statistics. Charles H. Brase and Corrinne P. Brase. Boston: Houghton Mifflin Company, 1997. xviii + 576 pp. $48.50. ISBN: 0-669-39812-8. Reviewed by Elizabeth Low

Statistics for Management, 7th ed. Richard I. Levin and David S. Rubin. Upper Saddle River, NJ: Prentice Hall, 1998. xvi + 1026 pp. $77.00. ISBN: 0-13-476-2924. Reviewed by Tom Obremski

Statistical Computing Environments for Social Research. Robert Stine and John Fox (eds.). Thousand Oaks: Sage, 1997. iv + 250 pp. $49.95 (P). ISBN: 0-7619-0270-8. Reviewed by Jonathan Nagler

Modern Engineering Statistics. Lawrence L. Lapin. Belmont, CA: Wadsworth, 1997. xv + 583 pp. $66.95. ISBN 0-534-50883-9. Reviewed by V.A. Samaranayake, Jagdish K. Patel

Elements of Engineering Probability and Statistic. Rodger E. Ziemer. Upper Saddle River: Prentice Hall, 1997. xiv + 322 pp. $77.00. ISBN: 0-024-31620-2. Reviewed by V.A. Samaranayake, Jagdish K. Patel

Applied Statistical Methods for Business, Economics, and the Social Sciences. William L. Carlson and Betty Thorne. Upper Saddle River, NJ: Prentice Hall, 1997. xxiii + 1021 pp. $77.00. ISBN 0-13-570847-8. Reviewed by Marjorie E. Bond

Statistics for Managers: Using Microsoft Excel. D.M. Levine, M.L. Berenson, and D. Stephan. Upper Saddle River, NJ: Prentice Hall. Reviewed by Marjorie E. Bond

The Ultimate Resource 2. Julian L. Simon. Princeton, NJ: Princeton University Press, 1996. xlii + 734 pp. $35.00. ISBN: 0-69104-269-1. Reviewed by Thomas Wonnacott     

Bayes and Empirical Bayes Inference in Changepoint Problems

ABSTRACT

In the case of the random design nonparametric regression, the double smoothing technique is applied to estimate the multivariate regression function. The proposed estimator has desirable properties in both the finite sample and the asymptotic cases. In the finite sample case, it has bounded conditional (and unconditional) bias and variance. On the other hand, in the asymptotic case, it has the same mean square error as the local linear estimator in Fan (Design-Adaptive Nonparametric Regression. Journal of the American Statistical Association 1992, 87, 998–1004; Local Linear Regression Smoothers and Their Minimax Efficiencies. Annals of Statistics 1993, 21, 196–216). Simulation studies demonstrate that the proposed estimator is better than the local linear estimator, because it has a smaller sample mean integrated square error and gives smoother estimates.     

Large deviations of multiclass M/G/1 queues

Consider a multiclass M/G/1 queue where queued customers are served in their order of arrival at a rate which depends on the customer class. We model this system using a chain with states represented by a tree. Since the service time distribution depends on the customer class, the stationary distribution is not of product form so there is no simple expression for the stationary distribution. Nevertheless, we can find a harmonic function on this chain which provides information about the asymptotics of this stationary distribution. The associated h‐transformation produces a change of measure that increases the arrival rate of customers and decreases the departure rate thus making large deviations common. The Canadian Journal of Statistics 37: 327–346; 2009 © 2009 Statistical Society of Canada     

Reviews and Notices

Abstract

Reports of Health and Vital Statistics: Indiana. Ninth Annual Report of the State Board of Health for the fiscal year ending October 31, 1891; and Annual Report of the Bureau of Vital and Sanitary Statistics. Indianapolis, 1891. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: Kansas. Fifth Annual Report of the State Board of Health, ending December 31, 1889. Topeka, 1890. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: Massachusetts. Twenty-Second Annual Report of the State Board of Health. Boston, 1891. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: Michigan. Seventeenth Annual Report of the Secretary of the State Board of Health for the fiscal year ending June 30, 1889. Lansing, 1890. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: New Hampshire. Tenth Annual Report relating to the Registration and Returns of Births, Marriages, Divorces, and Deaths, for the year 1889. Manchester, 1891. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: New Jersey. Thirteenth Annual Report of the Board of Health, and Report of the Bureau of Vital Statistics. Camden, 1889. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: New York. Eleventh Annual Report of the State Board of Health. Volumes I, II. Albany, 1891. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: North Carolina. Third Biennial Report of the Board of Health for the years 1889 and 1890. Raleigh, 1891. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: Ontario. Report relating to the Registration of Births, Marriages, and Deaths for the year ending December 31, 1889. Toronto, 1890. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: Ontario. Ninth Annual Report of the Provincial Board of Health for the year 1890. Toronto. 1891. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: Wisconsin. Thirteenth Report of the State Board of Health, 1889–90. Madison, 1891. Reviewed by Gary N. Calkins.

Reports of Health and Vital Statistics: New York City. Annual Report of the Board of Health of the Health Department for the year ending December 31, 1890. New York, 1891. Reviewed by Gary N. Calkins.

Statistics of Pauperism in Hartford: Report of the Special Committee on Out-door Alms of the Town of Hartford, 1891. Hartford. The Case, Lockwood & Brainard Company. 1891. Pp. lxxi, 93. Reviewed by A. G. Warner.

Comparison of Movement of Population in Prussia and France: The following is based upon material published in the Zeitschrift des Königes Preussischen Statistischen Bureaus. 1891. Nos. 1–2. Reviewed by F. C. Norton.

Suicides in Prussia and Italy: The following paragraphs are taken from the Zeitschrift des Kön. Preus. Stat. Bureaus, 1891, Nos. 1–2. Reviewed by F. C. Holmes.

Anthropometric Statistics: Thirtieth Annual Report of the Professor of Hygiene and Physical Education of Amherst College. 1891. Pp. 20. Map. Reviewed by R. Waterman, Jr.

The Census of Berlin: Einstweilige Ergebrisse der Volkszählung vom 1. December, 1890, in der Stadt Berlin. Veröffentlicht vom Statistischen Amt der Stadt. 1891. Pp. 64.

Statistics of Vaccination: Neue Beiträge zur Frage des Impfschutzes. Zweite Beobachtungsserie, 1887–88. Von Josef Körösi, Director des Budapester Communal-statistischen Bureaus. Berlin, 1891.

Statistical Articles in Magazines and Journals: Journal de la Société de Statistique de Paris. April, 1891. ÉAtude sur les placements faits a l'étranger par les differents peuples. By M. Georges Martin. Reviewed by William Z. Ripley.

Journal des Economistes. Sept., 1891. The Progress of Paper Money. By E. Fournier de Flaix. Reviewed by William Z. Ripley.

Revue d'Économie Politique. May, June, 1891.Une statistique des mariages. By Prof. Harald Westergaard. Reviewed by William Z. Ripley.

Revue d'Hygiène. November 20, 1891. De la Morbidité et la Mortalité par Professions. By Dr. Jacques Bertillon. Reviewed by Gary N. Calkins.

The Archiv für Eisenbahnwesen. August, 1891. Prozentbarechnung über den Personenverkehr. Reviewed by Victor Rosewater.

Conrad's Jahrbuch. July, 1891. Die Ergebnisse der Konkursstatistik. By Dr. A. Wirminghaus.

Frauenarbeit. By Prof. Stieda.

Archiv für soziale Gesetzgebnng und Statistik. IV, No. 2, 1891. Neuere Untersuchungen uber die Lage der arbeitenden Klassen in Holland. By Dr. Otto Pringsheim.

Zeitschrift des K. Sachsischen Statistischen Bureaus. 1890. Nos. 3–4. Dresden, August, 1891.

Journal of the Royal Statistical Society. London. June, 1891.

Journal of the Statistical and Social Inquiry Society of Ireland. Sept., 1891. The Congested Districts. By Richard J. Kelly.

The Economic Review. October, 1891. London.

Transactions of the Manchester Statistical Society. 1890–91.

The Fortnightly Review. December. The Canadian Census. By J. G. Colmer.

The Charity Organization Review. London. December, 1891. Character and development of the German Labor Colonies, from the opening of the first colony in 1882 to 1889. By Dr. Berthold.     

Semiparametric inference for survival models with step process covariates

The authors consider Bayesian methods for fitting three semiparametric survival models, incorporating time‐dependent covariates that are step functions. In particular, these are models due to Cox [Cox ( 1972 ) Journal of the Royal Statistical Society, Series B, 34, 187–208], Prentice & Kalbfleisch and Cox & Oakes [Cox & Oakes ( 1984 ) Analysis of Survival Data, Chapman and Hall, London]. The model due to Prentice & Kalbfleisch [Prentice & Kalbfleisch ( 1979 ) Biometrics, 35, 25–39], which has seen very limited use, is given particular consideration. The prior for the baseline distribution in each model is taken to be a mixture of Polya trees and posterior inference is obtained through standard Markov chain Monte Carlo methods. They demonstrate the implementation and comparison of these three models on the celebrated Stanford heart transplant data and the study of the timing of cerebral edema diagnosis during emergency room treatment of diabetic ketoacidosis in children. An important feature of their overall discussion is the comparison of semi‐parametric families, and ultimate criterion based selection of a family within the context of a given data set. The Canadian Journal of Statistics 37: 60–79; © 2009 Statistical Society of Canada     

Inference in segmented line regression: a simulation study

A segmented line regression model has been used to describe changes in cancer incidence and mortality trends [Kim, H.-J., Fay, M.P., Feuer, E.J. and Midthune, D.N., 2000, Permutation tests for joinpoint regression with applications to cancer rates. Statistics in Medicine, 19, 335–351. Kim, H.-J., Fay, M.P., Yu, B., Barrett., M.J. and Feuer, E.J., 2004, Comparability of segmented line regression models. Biometrics, 60, 1005–1014.]. The least squares fit can be obtained by using either the grid search method proposed by Lerman [Lerman, P.M., 1980, Fitting segmented regression models by grid search. Applied Statistics, 29, 77–84.] which is implemented in Joinpoint 3.0 available at http://srab.cancer.gov/joinpoint/index.html, or by using the continuous fitting algorithm proposed by Hudson [Hudson, D.J., 1966, Fitting segmented curves whose join points have to be estimated. Journal of the American Statistical Association, 61, 1097–1129.] which will be implemented in the next version of Joinpoint software. Following the least squares fitting of the model, inference on the parameters can be pursued by using the asymptotic results of Hinkley [Hinkley, D.V., 1971, Inference in two-phase regression. Journal of the American Statistical Association, 66, 736–743.] and Feder [Feder, P.I., 1975a, On asymptotic distribution theory in segmented regression Problems-Identified Case. The Annals of Statistics, 3, 49–83.] Feder [Feder, P.I., 1975b, The log likelihood ratio in segmented regression. The Annals of Statistics, 3, 84–97.] Via simulations, this paper empirically examines small sample behavior of these asymptotic results, studies how the two fitting methods, the grid search and the Hudson's algorithm affect these inferential procedures, and also assesses the robustness of the asymptotic inferential procedures.     

Locally optimal designs for binary dose‐response models

In this article, we consider the problem of seeking locally optimal designs for nonlinear dose‐response models with binary outcomes. Applying the theory of Tchebycheff Systems and other algebraic tools, we show that the locally D‐, A‐, and c‐optimal designs for three binary dose‐response models are minimally supported in finite, closed design intervals. The methods to obtain such designs are presented along with examples. The efficiencies of these designs are also discussed. The Canadian Journal of Statistics 46: 336–354; 2018 © 2018 Statistical Society of Canada     

Estimation in capture–recapture models when covariates are subject to measurement errors and missing data

For capture–recapture models when covariates are subject to measurement errors and missing data, a set of estimating equations is constructed to estimate population size and relevant parameters. These estimating equations can be solved by an algorithm similar to the EM algorithm. The proposed method is also applicable to the situation when covariates with no measurement errors have missing data. Simulation studies are used to assess the performance of the proposed estimator. The estimator is also applied to a capture–recapture experiment on the bird species Prinia flaviventris in Hong Kong. The Canadian Journal of Statistics 37: 645–658; 2009 © 2009 Statistical Society of Canada