Contributions to Statistics

Contributions to Statistics

1st Edition - January 1, 1965

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  • Author: P. C. Mahalanobis
  • eBook ISBN: 9781483282800

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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

  • Foreword

    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


Product details

  • No. of pages: 534
  • Language: English
  • Copyright: © Pergamon 1965
  • Published: January 1, 1965
  • Imprint: Pergamon
  • eBook ISBN: 9781483282800

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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