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Contributions to Statistics
1st Edition - January 1, 1965
Author: P. C. Mahalanobis
Editor: C. R. Rao
Language: English
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…Read more
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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.
ForewordRecovery of Ancillary InformationCombinatorial Properties of Partially Balanced Designs and Association SchemesLattice Sampling by Means of Lahiri's Sampling SchemeOn Some of the Contributions of Inter-Penetrating Networks of SamplesSome Apparently Unconnected Problems Encountered in Sampling WorkScreening Processes: Problems and IllustrationsThe Place of the Design of Experiments in the Logic of Scientific InterferenceOn RarefactionThe Estimation on Interpretation of Gross Differences and the Simple Response VarianceVon Mises Functionals and Maximum Likelihood EstimationPartially Balanced Asymmetrical Factorial DesignsOn the Approximation of Distributions for Sums of Independent Summands by Infinitely Divisible DistributionsMulti-Subject Sample-Survey System: Some Thoughts Based on Indian ExperienceFitting Asymptotic Regression Curves with Different AsymptotesSome Asymptotic Expansions for the Distribution of the Maximum Likelihood EstimateA Geometrical Problem Related to Cyclic DesignsIncrease of Human Statue in India and ElsewhereSocial Research and Mahalanobis's D2On Mahalanobis' Contributions to the Development of Sample Survey Theory and MethodsSome Notes on SQCInternational Aspects of Quality Control ActivityEstimation for the Generalized Power Series Distribution with Two Parameters and its Application to Binomial DistributionCriteria of Estimation in Large SamplesDiscrimination of Gaussia ProcessesClimates Ancient and ModernPunched Card Processing of Sample Survey Data for Fractile Graphical AnalysisHierarchical and p-Block Multiresponse Designs and their AnalysisA Study of the Field Cost for the Collection of Household Consumption Data by an Interview MethodFixed Interval Analysis and Fractile AnalysisAffine α-Resolvable Incomplete Block DesignsA Note on the Relation Between Mahalanobis Distance and Weighted RegressionWhat is Wrong with the Teaching of StatisticsScientific Contributions of Professor P.C. MahalanobisMessages
No. of pages: 534
Language: English
Edition: 1
Published: January 1, 1965
Imprint: Pergamon
eBook ISBN: 9781483282800
CR
C. R. Rao
Affiliations and expertise
Center for multivariate Analysis, Department of statistics, The Pennsylvania State University.