By Norman L. Johnson
This Set comprises:
Continuous Multivariate Distributions, quantity 1, types and Applications, second variation through Samuel Kotz, N. Balakrishnan and basic L. Johnson
Continuous Univariate Distributions, quantity 1, 2d Edition by means of Samuel Kotz, N. Balakrishnan and general L. Johnson
Continuous Univariate Distributions, quantity 2, 2d Edition by way of Samuel Kotz, N. Balakrishnan and basic L. Johnson
Discrete Multivariate Distributions by way of Samuel Kotz, N. Balakrishnan and general L. Johnson
Univariate Discrete Distributions, third Edition by way of Samuel Kotz, N. Balakrishnan and common L. Johnson
Discover the most recent advances in discrete distributions theory
The Third Edition of the significantly acclaimed Univariate Discrete Distributions presents a self-contained, systematic remedy of the idea, derivation, and alertness of chance distributions for count number information. Generalized zeta-function and q-series distributions were further and are coated intimately. New households of distributions, together with Lagrangian-type distributions, are built-in into this completely revised and up to date textual content. extra purposes of univariate discrete distributions are explored to illustrate the pliability of this strong method.
A thorough survey of modern statistical literature attracts awareness to many new distributions and effects for the classical distributions. nearly 450 new references besides a number of new sections are brought to mirror the present literature and data of discrete distributions.
Beginning with mathematical, likelihood, and statistical basics, the authors supply transparent insurance of the major issues within the box, 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 versions and miscellanea
Emphasis remains to be put on the expanding relevance of Bayesian inference to discrete distribution, specifically in regards to the binomial and Poisson distributions. New derivations of discrete distributions through stochastic approaches and random walks are brought with no unnecessarily complicated discussions of stochastic approaches. during the 3rd variation, huge details has been extra to mirror the hot position of computer-based applications.
With its thorough assurance and balanced presentation of concept and alertness, this can be a superb and crucial reference for statisticians and mathematicians.