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Probability

1962

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Full-Text Articles in Physical Sciences and Mathematics

Distribution Theory Of Some Classification Statistics., S. John Dr. Dec 1962

Distribution Theory Of Some Classification Statistics., S. John Dr.

Doctoral Theses

This thesis eives the distri bution theory of four clae aifioation statistics. Sone parta of it were published a few years ago. The relevant publicationa are listed nt the end.What the author knows of related work by other authors is set out in the Introductions little material of this nature is given elsewhere in the theats. If a result is not explicitly credited to another author, it may be taken to nean that the author believes it to be hia worik.It will be noticed that three (U, R and 2) of the four statistics receive less a pace than the …


Some Problems Of Estimation In Sampling From Finite Populations., M. Murthy Dr. Jul 1962

Some Problems Of Estimation In Sampling From Finite Populations., M. Murthy Dr.

Doctoral Theses

In this thesis the results of the research work done by the author in the field of sample surveys are presented. Scheme problems of estimation in sampling from finite populations were taken up for reset arch. A brief summary of this thesis is given below.In chapter 1, the author has developed a generalized theory of getting unbiased estimator for a certain class of parameters in sampling from finite population. The class of parameters considered are those which can be expressed as the sum of single-valued set functions defined over a class of sets of units belonging to a finite population. …


Some Contributions To The Theory Of Sampling., Pramod Kumar Pathak Dr. Apr 1962

Some Contributions To The Theory Of Sampling., Pramod Kumar Pathak Dr.

Doctoral Theses

The work Presented here had originated from a pioneering paper by Basu1 and is essentially an extension of his ideas to different problem in sample surveys. The whole word mainly consists in deriving estimators uniformly better than those usually adopted in with replacement schemes.in with replacement sampling schemes, the 'order-statistic' (distinct sample unite arranged in an ascending order of their unit-indices) forms a sufficient statistic. Therefore, if any estimator (e.g., say of the population man) does not depend on the 'order-statistic', it can be uniformly improved by the use of the Rao-blalckwell theorem. The author has not hesitated to use …