
- 534 pages
- English
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Contributions to Statistics
About this book
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.
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Table of contents
- Front Cover
- Contributions to Statistics
- Copyright Page
- Table of Contents
- FOREWORD
- CHAPTER 1. RECOVERY OF ANCILLARY INFORMATION
- CHAPTER 2. COMBINATORIAL PROPERTIES OF PARTIALLY BALANCED DESIGNS AND ASSOCIATION SCHEMES
- CHAPTER 3. LATTICE SAMPLING BY MEANS OF LAHIRI'S SAMPLING SCHEME
- CHAPTER 4. ON SOME OF THE CONTRIBUTIONS OF INTERPENETRATING NETWORKS OF SAMPLES
- CHAPTER 5. SOME APPARENTLY UNCONNECTED PROBLEMS ENCOUNTERED IN SAMPLING WORK
- CHAPTER 6. SCREENING PROCESSES: PROBLEMS AND ILLUSTRATIONS
- CHAPTER 7. THE PLACE OF THE DESIGN OF EXPERIMENTS IN THE LOGIC OF SCIENTIFIC INFERENCE
- CHAPTER 8. ON RAREFACTION
- CHAPTER 9. THE ESTIMATION AND INTERPRETATION OF GROSS DIFFERENCES AND THE SIMPLE RESPONSE VARIANCE
- CHAPTER 10. VON MISES FUNCTIONALS AND MAXIMUM LIKELIHOOD ESTIMATION
- CHAPTER 11. PARTIALLY BALANCED ASYMMETRICAL FACTORIAL DESIGNS
- CHAPTER 12. ON THE APPROXIMATION OF DISTRIBUTIONS OF SUMS OF INDEPENDENT SUMMANDS BY INFINITELY DIVISIBLE DISTRIBUTIONS
- CHAPTER 13. MULTI-SUBJECT SAMPLE SURVEY SYSTEM: SOME THOUGHTS BASED ON INDIAN EXPERIENCE
- CHAPTER 14. FITTING ASYMPTOTIC REGRESSION CURVES WITH DIFFERENT ASYMPTOTES
- CHAPTER 15. SOME ASYMPTOTIC EXPANSIONS FOR THE DISTRIBUTION OF THE MAXIMUM LIKELIHOOD ESTIMATE
- CHAPTER 16. A GEOMETRICAL PROBLEM RELATED TO CYCLIC DESIGNS
- CHAPTER 17. INCREASE OF HUMAN STATURE IN INDIA AND ELSEWHERE
- CHAPTER 18. SOCIAL RESEARCH AND MAHALANOBIS'S D2
- CHAPTER 19. ON MAHALANOBIS' CONTRIBUTIONS TO THE DEVELOPMENT OF SAMPLE SURVEY THEORY AND METHODS
- CHAPTER 20. SOME NOTES ON SQC
- CHAPTER 21. INTERNATIONAL ASPECTS OF QUALITY CONTROL ACTIVITY
- CHAPTER 22. ESTIMATION FOR THE GENERALIZED POWER SERIES DISTRIBUTION WITH TWO PARAMETERS AND ITS APPLICATION TO BINOMIAL DISTRIBUTION
- CHAPTER 23. CRITERIA OF ESTIMATION IN LARGE SAMPLES
- CHAPTER 24. DISCRIMINATION OF GAUSSIAN PROCESSES
- CHAPTER 25. CLIMATES ANCIENT AND MODERN
- CHAPTER 26. PUNCHED CARD PROCESSING OF SAMPLE SURVEY DATA FOR FRACTILE GRAPHICAL ANALYSIS
- CHAPTER 27. HIERARCHICAL AND p-BLOCK MULTIRESPONSE DESIGNS AND THEIR ANALYSIS
- CHAPTER 28. A STUDY OF THE FIELD COST FOR THE COLLECTION OF HOUSEHOLD CONSUMPTION DATA BY AN INTERVIEW METHOD
- CHAPTER 29. FIXED INTERVAL ANALYSIS AND FRACTILE ANALYSIS
- CHAPTER 30. AFFINE α-RESOLVABLE INCOMPLETE BLOCK DESIGNS
- CHAPTER 31. A NOTE ON THE RELATION BETWEEN MAHALANOBIS DISTANCE AND WEIGHTED REGRESSION
- CHAPTER 32. WHAT IS WRONG WITH THE TEACHING OF STATISTICS ?
- CHAPTER 33. SCIENTIFIC CONTRIBUTIONS OF PROFESSOR P. C. MAHALANOBIS
- MESSAGES