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861.
The problem of estimation of the parameters in a logistic regression model is considered under multicollinearity situation
when it is suspected that the parameter of the logistic regression model may be restricted to a subspace. We study the properties
of the preliminary test based on the minimum ϕ -divergence estimator as well as in the ϕ -divergence test statistic. The minimum ϕ -divergence estimator is a natural extension of the maximum likelihood estimator and the ϕ -divergence test statistics is a family of the test statistics for testing the hypothesis that the regression coefficients
may be restricted to a subspace. 相似文献
862.
Gauss M. Cordeiro 《统计学通讯:理论与方法》2013,42(1):197-207
ABSTRACT In this article we derive finite-sample corrections in matrix notation for likelihood ratio and score statistics in extreme-value linear regression models. We consider three corrected score tests that perform better than the usual score test. We also derive general formulae for second-order biases of maximum likelihood estimates of the linear parameters. Some simulations are performed to compare the likelihood ratio and score statistics with their modified versions and to illustrate the bias correction. 相似文献
863.
S. E. Ahmed 《Statistics》2013,47(3):265-277
The problem of pooling means is considered based on two samples in presence of the uncertain prior information that these samples are taken from possibly identical populations. Two discrete models, Poisson and binomial are considered in particular. Three estimators, i.e. the unrestricted estimator, shrinkage restricted estimator and estimators based on preliminary test are proposed. Their asymptotic mean squared errors are derived and compared. It is demonstrated via asymptotic results that the range of the parameter space in which shrinkage preliminary test estimator dominates the unrestricted estimator is wider than that of the usual preliminary test estimator. A Monte Carlo study for Poisson model is presented to compare the performance of the estimators for small samples. 相似文献
864.
The first bibliography in the area of inference based on conditional specification was published in 1977, A second bibliography is compiled, and a combined subject index is given. 相似文献
865.
针对大学公共体育教学中存在的成绩统计十分繁琐的现状,本文着重研究如何利用Visual FoxPro 6.0中文版软件来设计一个体育成绩统计系统,并详细介绍了该系统的设计过程和操作方法. 相似文献
866.
Rosa Arboretti Giancristofaro Stefano Bonnini 《Statistical Methods and Applications》2009,18(2):221-236
In several sciences, especially when dealing with performance evaluation, complex testing problems may arise due in particular
to the presence of multidimensional categorical data. In such cases the application of nonparametric methods can represent
a reasonable approach. In this paper, we consider the problem of testing whether a “treatment” is stochastically larger than
a “control” when univariate and multivariate ordinal categorical data are present. We propose a solution based on the nonparametric
combination of dependent permutation tests (Pesarin in Multivariate permutation test with application to biostatistics. Wiley,
Chichester, 2001), on variable transformation, and on tests on moments. The solution requires the transformation of categorical
response variables into numeric variables and the breaking up of the original problem’s hypotheses into partial sub-hypotheses
regarding the moments of the transformed variables. This type of problem is considered to be almost impossible to analyze
within likelihood ratio tests, especially in the multivariate case (Wang in J Am Stat Assoc 91:1676–1683, 1996). A comparative
simulation study is also presented along with an application example. 相似文献
867.
An overview is given of methodology for testing goodness of fit of parametric models using nonparametric function estimation techniques. The ideas are illustrated in two settings: the classical one-sample goodness-of-fit scenario and testing the goodness of fit of a polynomial regression model. 相似文献
868.
Michael Haber 《统计学通讯:理论与方法》2013,42(12):2845-2856
The marginal totals of a contingency table can be rearranged to form a new table. If at least twoof these totals include the same cell of the original table, the new table cannot be treated as anordinary contingency table. An iterative method is proposed to calculate maximum likelihood estimators for the expected cell frequencies of the original table under the assumption that some marginal totals (or more generally, some linear functions) of these expected frequencies satisfy a log-linear model.In some cases, a table of correlated marginal totals is treated as if it was an ordinary contingency table. The effects of ignoring the special structure of the marginal table on thedistributionof the goodness-of-fit test statistics are discussed and illustrated, with special reference to stationary Markov chains. 相似文献
869.
《Journal of Statistical Computation and Simulation》2012,82(11):869-888
It is well known that more powerful variants of Dickey–Fuller unit root tests are available. We apply two of these modifications, on the basis of simple maximum statistics and weighted symmetric estimation, to Perron tests allowing for structural change in trend of the additive outlier type. Local alternative asymptotic distributions of the modified test statistics are derived, and it is shown that their implementation can lead to appreciable finite sample and asymptotic gains in power over the standard tests. Also, these gains are largely comparable with those from GLS-based modifications to Perron tests, though some interesting differences do arise. This is the case for both exogenously and endogenously chosen break dates. For the latter choice, the new tests are applied to the Nelson–Plosser data. 相似文献
870.
Bayesian sample size determination for estimating binomial parameters from data subject to misclassification 总被引:1,自引:0,他引:1
E. Rahme L. Joseph & T. W. Gyorkos 《Journal of the Royal Statistical Society. Series C, Applied statistics》2000,49(1):119-128
We investigate the sample size problem when a binomial parameter is to be estimated, but some degree of misclassification is possible. The problem is especially challenging when the degree to which misclassification occurs is not exactly known. Motivated by a Canadian survey of the prevalence of toxoplasmosis infection in pregnant women, we examine the situation where it is desired that a marginal posterior credible interval for the prevalence of width w has coverage 1−α, using a Bayesian sample size criterion. The degree to which the misclassification probabilities are known a priori can have a very large effect on sample size requirements, and in some cases achieving a coverage of 1−α is impossible, even with an infinite sample size. Therefore, investigators must carefully evaluate the degree to which misclassification can occur when estimating sample size requirements. 相似文献