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Elsevier

Contributions to Statistics

  • 1st Edition - January 1, 1965
  • Latest edition
  • Author: P. C. Mahalanobis
  • Editor: C. R. Rao
  • Language: English

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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Description

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

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

Product details

  • Edition: 1
  • Latest edition
  • Published: May 12, 2014
  • Language: English

About the editor

CR

C. R. Rao

Professor C. R. Rao, born in India, is one of this century's foremost statisticians, and received his education in statistics at the Indian Statistical Institute (ISI), Calcutta. He is Emeritus Holder of the Eberly Family Chair in Statistics at Penn State and Director of the Center for Multivariate Analysis. He has long been recognized as one of the world's top statisticians, and has been awarded 34 honorary doctorates from universities in 19 countries spanning 6 continents. His research has influenced not only statistics, but also the physical, social and natural sciences and engineering. In 2011 he was recipient of the Royal Statistical Society's Guy Medal in Gold which is awarded triennially to those "who are judged to have merited a signal mark of distinction by reason of their innovative contributions to the theory or application of statistics". It can be awarded both to fellows (members) of the Society and to non-fellows. Since its inception 120 years ago the Gold Medal has been awarded to 34 distinguished statisticians. The first medal was awarded to Charles Booth in 1892. Only two statisticians, H. Cramer (Norwegian) and J. Neyman (Polish), outside Great Britain were awarded the Gold medal and C. R. Rao is the first non-European and non-American to receive the award.

Other awards he has received are the Gold Medal of Calcutta University, Wilks Medal of the American Statistical Association, Wilks Army Medal, Guy Medal in Silver of the Royal Statistical Society (UK), Megnadh Saha Medal and Srinivasa Ramanujan Medal of the Indian National Science Academy, J.C.Bose Gold Medal of Bose Institute and Mahalanobis Centenary Gold Medal of the Indian Science Congress, the Bhatnagar award of the Council of Scientific and Industrial Research, India and the Government of India honored him with the second highest civilian award, Padma Vibhushan, for “outstanding contributions to Science and Engineering / Statistics”, and also instituted a cash award in honor of C R Rao, “to be given once in two years to a young statistician for work done during the preceding 3 years in any field of statistics”.

For his outstanding achievements Rao has been honored with the establishment of an institute named after him, C.R.Rao Advanced Institute for Mathematics, Statistics and Computer Science, in the campus of the University of Hyderabad, India. C.R. Rao won International Statistics Prize in 2023. He passed away in 2023 two weeks before his 103rd birthday.

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

View book on ScienceDirect

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