Sequential point estimation of the means of u-statistics in finite population sampling

In simple random sampling without replacement from a finite population, sequential point estimators of the means of U-statistics are proposed. The proposed procedure is shown to be asymptotically risk efficient in the sense of Starr (Ann. Math. Statist. (1966), 1173-1185)     

Influential observations in view of design and inference

In this paper we consider the measures for detecting the influential observations w.r.t. one or several parameters of interest at the design stage. We also consider the Cook's measure for detecting the influential observations at the inference stage. We study the interrelationship between two kinds of measures.     

Nonparametric empirical bayes estimation of certain funtionals

For estimating functionals of the form ∫∫φ(x,y)dF(x) dF(y), nonparametric empirical Bayes estimators are developed which are competitors of the classical U-statistics. Asymptotic optimality of the proposed estimators is proved     

Inequalities involving expectations of selected functions in reliability theory to characterize distributions

Recently, authors have studied inequalities involving expectations of selected functions, viz. failure rate, mean residual life, aging intensity function, and log-odds rate which are defined for left truncated random variables in reliability theory to characterize some well-known distributions. However, there has been growing interest in the study of these functions in reversed time (X ? x, instead of X > x) and their applications. In the present work we consider reversed hazard rate, expected inactivity time, and reversed aging intensity function to deal with right truncated random variables and characterize a few statistical distributions.     

Sequential shrinkage estimation of independent normal means with unkown variances

The Paper considers estimation of the p(> 3)-variate normal mean when the variance-covariance matrix is diagonal with unknown diagonal elements. A class of James-Stein estimators is developed, and is compared with the sample mean under an empirical minimax stopping rule. Asymptotic risk expansions are provided for both the sequential sample mean and the sequential James-Stein estimators. It is shown that the James-Stein estimators dominate the sample mean in a certain asymptotic sense.     

Maximum likelihood estimation foe two parameter exponentials under type I censoring

The paper considers maximum likelihood estimation of the location parameters and the failure rates of two parameter exponentials under type I censoring. Both the one and two sample cases are considered. It turns out that by debiasing the maximum likelihood estimators of the location parameters, one can achieve asymptotically 50% mean squared error reduction.     

Partial diallel grosses based on generalized right angj lar association scheme

Some new plans for partial diallel crosses (PDC) based on Generalized Right Angular (GRA) association scheme excluding parents as well as including parents have been presented. Unlike existing plans based on GRA, these plans have wider existence and provide sufficient size of PDC to have more precise conclusions. Simplified method of analysis for these plans has also been presented.     

Bayesian pitman closeness

The present article brings in the notion of Posterior Pitman Closeness (PPC) in contrast to the usual Pitman Closeness (PC) criterion. Unlike the PC criterion, the PPC criterion does not suffer from lack of transitivity. Also, a posterior median is usually a posterior Pitman closest estimator of the parameter of interest. Examples are provided to illustrate these ideas. Also, some multivariate analogs of these results are presented.     

Habitat patch size and tree species richness shape the bird community in urban green spaces of rapidly urbanizing Himalayan foothill region of India

Urban Ecosystems - Rapid urbanization is emerging as one of the leading threats to the biodiversity globally. But is especially a cause of concern for tropical countries which are urbanizing much...     

A new and easy-to-use measure of literacy,its axiomatic properties and an application

It can be argued that just as there are different kinds of literacy, there are different kinds of illiteracy. A “proximate illiterate,” i.e. an illiterate who has easy access to a literate person, is clearly better off than someone without such access. The existing literature that takes account of these differences (1) defines an illiterate person to be a proximate illiterate if he or she lives in a household with at least one literate person and (2) derives new measures of literacy which typically exceed the standard literacy rate. The latter risks generating policy complacency. The aim of this paper is to suggest a measure of literacy that is not limited by (1) and (2). The measure is axiomatically characterized and its use is illustrated with a numerical exercise for the provinces of South Africa. We wish to thank James Foster and Tapan Mitra for discussions and comments. Any remaining errors are our own.