Contributions to Statistics - 1st Edition - ISBN: 9781483231600, 9781483282800

Contributions to Statistics

1st Edition

Authors: P. C. Mahalanobis
Editors: C. R. Rao
eBook ISBN: 9781483282800
Imprint: Pergamon
Published Date: 1st January 1965
Page Count: 534
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Contributions to Statistics focuses on the processes, methodologies, and approaches involved in statistics. The book is presented to Professor P. C. Mahalanobis on the occasion of his 70th birthday.

The selection first offers information on the recovery of ancillary information and combinatorial properties of partially balanced designs and association schemes. Discussions focus on combinatorial applications of the algebra of association matrices, sample size analogy, association matrices and the algebra of association schemes, and conceptual statistical experiments. The book then examines lattice sampling by means of Lahiri's sampling scheme; contributions of interpenetrating networks of samples; and apparently unconnected problems encountered in sampling work.

The publication takes a look at screening processes, place of the design of experiments in the logic of scientific inference, and rarefaction. Topics include mathematical probability, scientific experience, combinatorial progress, gains and losses, criterion and scores, simple drug screening process, and screening of crop varieties. The manuscript then reviews the estimation and interpretation of gross differences and the simple response variance; partially balanced asymmetrical factorial designs; and approximation of distributions of sums of independent summands by infinitely divisible distributions.

The selection is a dependable reference for statisticians and researchers interested in the processes, methodologies, and approaches employed in statistics.

Table of Contents


Recovery of Ancillary Information

Combinatorial Properties of Partially Balanced Designs and Association Schemes

Lattice Sampling by Means of Lahiri's Sampling Scheme

On Some of the Contributions of Inter-Penetrating Networks of Samples

Some Apparently Unconnected Problems Encountered in Sampling Work

Screening Processes: Problems and Illustrations

The Place of the Design of Experiments in the Logic of Scientific Interference

On Rarefaction

The Estimation on Interpretation of Gross Differences and the Simple Response Variance

Von Mises Functionals and Maximum Likelihood Estimation

Partially Balanced Asymmetrical Factorial Designs

On the Approximation of Distributions for Sums of Independent Summands by Infinitely Divisible Distributions

Multi-Subject Sample-Survey System: Some Thoughts Based on Indian Experience

Fitting Asymptotic Regression Curves with Different Asymptotes

Some Asymptotic Expansions for the Distribution of the Maximum Likelihood Estimate

A Geometrical Problem Related to Cyclic Designs

Increase of Human Statue in India and Elsewhere

Social Research and Mahalanobis's D2

On Mahalanobis' Contributions to the Development of Sample Survey Theory and Methods

Some Notes on SQC

International Aspects of Quality Control Activity

Estimation for the Generalized Power Series Distribution with Two Parameters and its Application to Binomial Distribution

Criteria of Estimation in Large Samples

Discrimination of Gaussia Processes

Climates Ancient and Modern

Punched Card Processing of Sample Survey Data for Fractile Graphical Analysis

Hierarchical and p-Block Multiresponse Designs and their Analysis

A Study of the Field Cost for the Collection of Household Consumption Data by an Interview Method

Fixed Interval Analysis and Fractile Analysis

Affine α-Resolvable Incomplete Block Designs

A Note on the Relation Between Mahalanobis Distance and Weighted Regression

What is Wrong with the Teaching of Statistics

Scientific Contributions of Professor P.C. Mahalanobis



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© Pergamon 1965
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About the Author

P. C. Mahalanobis

About the Editor

C. R. Rao

Affiliations and Expertise

Center for multivariate Analysis, Department of statistics, The Pennsylvania State University.

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