Showing papers by "Pranab Kumar Sen published in 1966"

On a Distribution-free Method of Estimating Asymptotic Efficiency of a Class of Non-parametric Tests

Abstract: This paper deals with some aspects of nonparametric confidence intervals for shift and scale parameters which may be obtained from a celebrated class of rank order tests for the location and scale problems. This also provides a distribution-free method of estimating asymptotic efficiency of a class of tests and estimates (point as well as intervals) that may be derived from the same class of rank order statistics. Further, the proposed method is also applicable for estimating certain functionals of the distribution function which may not be otherwise estimated in a simple manner.

On nonparametric simultaneous confidence regions and tests for the one criterion analysis of variance problem

Abstract: For the one criterion analysis of variance problem, some nonparametric generalizations of the two well-known methods of multiple comparisons by Tukey [26] and Scheffe [19], are proposed and studied here. The performance characteristics of the proposed methods are compared with those of the others, available in the literature.

On a class of c-sample weighted rank-sum tests for location and scale

Abstract: A class of c-sample (ce2) non-parametric tests for the homogeneity of location or scale parameters is proposed and their various properties studied. These tests are based on a family of congruent interquantile numbers, and may be regarded as the c-sample extension of a class of two sample tests, proposed and studied by Sen [15]. A useful theorem on the asymptotic distribution of the proposed class of statistics is established. With the aid of this result, the asymptotic power-efficiency of the proposed class of test is studied and comparison is made with other test procedures. Location-free scale tests are also considered.