Samuel Kotz

Univariate Discrete Distributions

Samuel Kotz

This Set Contains: Continuous Multivariate Distributions, Volume 1, Models and Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 1, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 2, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discrete Multivariate Distributions by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Univariate Discrete Distributions, 3rd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discover the latest advances in discrete distributions theory The Third Edition of the critically acclaimed Univariate Discrete Distributions provides a self-contained, systematic treatment of the theory, derivation, and application of probability distributions for count data. Generalized zeta-function and q-series distributions have been added and are covered in detail. New families of distributions, including Lagrangian-type distributions, are integrated into this thoroughly revised and updated text. Additional applications of univariate discrete distributions are explored to demonstrate the flexibility of this powerful method. A thorough survey of recent statistical literature draws attention to many new distributions and results for the classical distributions. Approximately 450 new references along with several new sections are introduced to reflect the current literature and knowledge of discrete distributions. Beginning with mathematical, probability, and statistical fundamentals, the authors provide clear coverage of the key topics in the field, including: Families of discrete distributions Binomial distribution Poisson distribution Negative binomial distribution Hypergeometric distributions Logarithmic and Lagrangian distributions Mixture distributions Stopped-sum distributions Matching, occupancy, runs, and q-series distributions Parametric regression models and miscellanea Emphasis continues to be placed on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions. New derivations of discrete distributions via stochastic processes and random walks are introduced without unnecessarily complex discussions of stochastic processes. Throughout the Third Edition, extensive information has been added to reflect the new role of computer-based applications. With its thorough coverage and balanced presentation of theory and application, this is an excellent and essential reference for statisticians and mathematicians.

Leading Personalities in Statistical Sciences

Samuel Kotz

A fascinating chronicle of the lives and achievements of the men and women who helped shapethe science of statistics This handsomely illustrated volume will make enthralling reading for scientists, mathematicians, and science history buffs alike. Spanning nearly four centuries, it chronicles the lives and achievements of more than 110 of the most prominent names in theoretical and applied statistics and probability. From Bernoulli to Markov, Poisson to Wiener, you will find intimate profiles of women and men whose work led to significant advances in the areas of statistical inference and theory, probability theory, government and economic statistics, medical and agricultural statistics, and science and engineering. To help readers arrive at a fuller appreciation of the contributions these pioneers made, the authors vividly re-create the times in which they lived while exploring the major intellectual currents that shaped their thinking and propelled their discoveries. Lavishly illustrated with more than 40 authentic photographs and woodcuts * Includes a comprehensive timetable of statistics from the seventeenth century to the present * Features edited chapters written by 75 experts from around the globe * Designed for easy reference, features a unique numbering scheme that matches the subject profiled with his or her particular field of interest