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Statistics - Kotz Book

Statistics - Kotz
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  • Statistics - Kotz
  • Written by author Johnson
  • Published by Wiley, John & Sons, Incorporated, March 1997
  • In honor of Samuel Kotz, an international collection of articles on the latest advances in statistics. This tribute to Samuel Kotz features articles by eminent statisticians from around the world, all recognizing the lifetime of accomplishments o
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Authors

Preface
List of Contributors
Samuel Kotz - Life and Works3
About Sam Kotz21
Sam Kotz - Teacher and Mentor23
1Statistics and Politics29
2Dispersion and Cohesion in the Statistical Profession39
3On Ling's Scaling Law57
4The Roughness of Visitations in a Markov Chain, A Review with Extensions67
5A Generalization of the Lifetime Pairs of Renewal Theory89
6Markov Chains and Nerve Impulses: An Interface Between Statistics and Neurophysiology107
7Some Control Methods for Epidemics125
8Statistics and Probability in Public Health: Educated Guessing in the Prevention of Disease, Disability, and Death143
9Goodness-of-Fit Tests for Two-Parameter and Three-Parameter Weibull Distributions159
10Some Exact and Nonasymptotic Analyses of Discrete Goodness-of-Fit and r-Way Contingency Tables179
11Some Rank Tests for Multivariate Censored Data193
12On the Performance of Minimum-Distance Classification Rules for Kotz-Type Elliptical Distributions209
13Exact Properties of Residuals in Subset Diagnostics225
14Finding Masking Effects from Interaction of Cases241
15On Confidence Bands for the Lorenz and Goldie Curves261
16Approximations and Inequalities for the Distribution of a Scan Statistics for 0-1 Bernoulli Trials285
17On Hyperbolically Monotone Densities299
18A Generalization of the Power Inverse Gaussian Distribution and Some of Its Properties315
19Aspects of the Skellam-Haldane Distribution325
20Distributions of First Exit Times for Poisson Processes with Lower and Upper Linear Boundaries339
21The Share-of-Total Approach to Multivariate Distributions353
22A Recurrence Relation for Discrete Multivariate Distributions and Some Applications to Multivariate Waiting Time Problems367
23Multivariate Liouville Distributions, V377
24On Bivariate "Short" and Related Distributions397
25An Extension of the Complex Normal Distribution415
26Extensions of a Characterization of an Exponential Distribution Based on a Censored Ordered Sample431
27Gumbel Records and Related Characterizations441
28Characterizations of Matrix Variate Elliptically Contoured Distributions455
29Characterizations of Distributions by Extremes and Records in Archimedean Copula Processes469
30Characterizations Using Ranks and Order Statistics479
31On Preservation of Symmetry of Distribution Under Multiplication of Random Variables493
32The Laws of Some Random Series of Independent Summands499
33The Distribution of a Copula When the Sum and the Difference of the Univariate Random Variables are Independent517
34A Review of Orthant Probability Bounds535
35Some Remarks on Almost Sure Local and Global Central Limit Theorems551
36Improper Priors, Posterior Asymptotic Normality, and Conditional Inference563
37Inversion of Bayes Formula: Explicit Formulae for Unconditional pdf571
38The Peters-Belson Approach to Measures of Economic and Legal Discrimination587
Abbreviations603
Author Index607
Subject Index619


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