On some problems arising from Professor Rawls' conception of distributive justice

This paper is concerned with two specific aspects of Professor Rawls' conception of distributive justice. In Section I Rawls' controversial difference principle is discussed in the context of individual decision under uncertainty, as well as the problem of interpersonal comparison of utilities. It is noted that, contrary to some recent accounts, Rawls' conception of the original position is considerably different from that to be found in the works of Harsanyi. In Section II an attempt is made to articulate in a precise way Rawls' intergenerational savings principle. While it is noted that the Rawlsian savings rule possesses a number of attractive properties, it is demonstrated that it conflicts with the principle of intertemporal Pareto efficiency.This is a revised and expanded version of the text of a lecture delivered at the Moral Sciences Club of the University of Cambridge in February, 1973. I would like to acknowledge the many instructions that I have received on the matters discussed in this paper from Kenneth Arrow, Simon Blackburn, Frank Hahn, Philip Pettit, John Rawls, Abhijit Sen, Amartya Sen, and Robert Solow. While I doubt very much if any of these gentlemen would agree with all that I assert in this paper, I hope that each agrees with some of the propositions madehere.     

The asymptotic behaviour of a class of L.-estimators under long-range dependence

This paper obtains asymptotic representations of a class of L-estimators in a linear regression model when the errors are a function of long-range-dependent Gaussian random variables. These representations are then used to address some of the efficiency robustness properties of L-estimators compared to the least-squares estimator. It is observed that under the Gaussian error distribution, each member of the class has the same asymptotic efficiency as that of the least-squares estimator. The results are obtained as a consequence of the asymptotic uniform linearity of some weighted empirical processes based on long-range-dependent random variables.     

Finite sample properties of maximum likelihood and quasi-maximum likelihood estimators of egarch models

In this paper I examine finite sample properties of the maximum likelihood and quasi-maximum likelihood estimators of EGARCH(1,1) processes using Monte Carlo methods. I use response surface methodology to summarize the results of a wide array of experiments which suggest that the maximum likelihood estimator has reasonable finite sample properties. The Gaussian quasi-maximum likelihood estimator has poor finite sample properties when the data generating process has conditional excess kurtosis. Some of these poor properties appear to be asymptotic in nature.     

Empirical Bayes estimation in directional data

Empirical Bayes procedures have been developed extensively in the literature, under the assumption that the underlying parameter space (or the sample space) is Euclidean in nature. However, there has been almost no research carried out into when the data comes from a different space. We develop empirical Bayes techniques to estimate the mean direction of the Fisher-von Mises distribution. In this case, the underlying space is non-Euclidean. The special case when the data are angles on the unit circle is illustrated with an example.     

TECHNIQUES OF COVARIANCE STRUCTURAL ANALYSIS1

The paper delineates the scope and important features of covariance structural analysis in which some pattern can be postulated a priori for the covariance matrix. The coverage given also includes a brief review of the published work in this area with illustration of statistical tests based, on principles of maximum likelihood and union-intersection. Few results on the computational ease under the assumption of particular covariance structures are reported. A few unsolved problems in the area of structural analysis are briefly mentioned.     

Role of women in schooling and child labour decision: the case of urban boys in India

This paper uses household level data from National Sample Survey Organization (NSSO) of India, the 55th round (1999–2000), to show that for urban male children there exists significant wage incentive for schooling, though school dropout rate and child labour incidence are not so small. The parents’ level of education plays an important role in reducing this tendency; thus establishing the linkage between social and human capital outcomes in the family. We also look at the incidence of harmful and manual occupations among the child labour. Mother’s education now appears as a very important factor in curbing these incidences; supporting earlier findings that women’s empowerment (one important indicator of which would be female educational level) is indeed instrumental in increasing parental awareness.     

Multivariate relationships between modernity value orientations and family planning indicators

Using canonical correlation techniques in the analysis of data collected from interviews with 1,737 married women of three Indian states, this paper evaluated three modernity value orientations—subjective efficacy, openness to change, and propensity to plan—as predictors of a set of four family planning indicators. The analysis revealed that, in Haryana, both subjective efficacy and openness to change were related to family planning knowledge and attitudes as well as to favorability toward small family size. Propensity to plan was related to adoption. In rural Tamil Nadu, subjective efficacy and openness to change were related essentially to family planning attitudes, whereas in urban Tamil Nadu they were strongly related to adoption. In the latter area, the best linear association between the modernity variables (predictor set) and the family planning variables (criterion set) resulted when the criterion set was so weighted that it involved a large amount of adoption and a moderate amount of contraceptive knowledge and attitudes. Thus, in urban Tamil Nadu, the four family planning variables seemed to cohere, reflecting cognitive, attitudinal, and behavioral consistency. Except in Meghalaya, it appears that married women with higher subjective efficacy, openness to change, and planning tendency may be more likely than others to translate their family planning knowledge and favorability toward small family size into action, under suitable conditions. Some of the implications of the findings are discussed.The author is affiliated with the Council for Social Development, 53 Lodi Estate, New Delhi, 110003, India.     

A multimodal skewed extension of normal distribution: its properties and applications

A multimodal skewed extension of normal distribution is proposed by applying the general method as in [Huang WJ, Chen YH. Generalized skew-Cauchy distribution. Stat Probab Lett. 2007;77:1137–1147] for the construction of skew-symmetric distributions by using a trigonometric periodic skew function. Some of its distributional properties are investigated. Properties of maximum likelihood estimation of the parameters are studied numerically by simulation. The suitability of the proposed distribution in empirical data modelling is investigated by carrying out comparative fitting of two real-life data sets.     

On A Symmetric Measure of Occupational Segregation

Occupational segregation according to sex iswidely prevalent in almost allcountries. This paper suggests and characterizes a symmetric measure ofsegregation. This measure was originallyproposed in a different situation byJeffreys (1946). We also provide twonumerical illustrations of changein segregation over time.     

Adaptive two-treatment two-period crossover design for binary treatment responses incorporating carry-over effects

Adaptive designs are sometimes used in a phase III clinical trial with the goal of allocating a larger number of patients to the better treatment. In the present paper we use some adaptive designs in a two-treatment two-period crossover trial in the presence of possible carry-over effects, where the treatment responses are binary. We use some simple designs to choose between the possible treatment combinations AA, AB, BA or BB. The goal is to use the better treatment a larger proportion of times. We calculate the allocation proportions to the possible treatment combinations and their standard deviations. We also investigate related inferential problems, for which related asymptotics are derived. The proposed procedure is compared with a possible competitor. Finally we use real data sets to illustrate the applicability of our proposed design.