Handbook of statistical distributions with applications.
2nd edition.

*(English)*Zbl 1341.62013
Statistics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-4149-1/hbk; 978-1-4987-4150-7/ebook). xxvi, 398 p. (2016).

This book presents an introduction to statistical distributions. It is well-written and well organized. It provides enough basic and advanced information for students and experienced researchers and is covered by a large number of real life examples and of important and up-to-date references.

The book is organized as follows. The first two chapters are introductory chapters. In the first introductory chapter the statistical software StatCalc is presented. This software is used to derive the table values and other statistics presented in the book. The software is very easy for using and only few pages are dedicated to the explanation of this software. The second introductory chapter contains some basic terms and concepts. Some methods of estimation and hypothesis testing are also discussed in this chapter. The next seven chapters are dedicated to the well known discrete distributions: discrete uniform, binomial, hypergeometric, Poisson, geometric, negative binomial and logarithmic series distribution. Main numerical characteristics are presented for each considered distribution. The most important confidence intervals and statistical tests for parameters are discussed in detail and covered by many practical examples. The Chapters 10–29 are focussed on univariate continuous distributions. A large number of continuous distributions are considered, e.g. normal, chi-square, \(F\), exponential, Weibull, gamma, etc. Besides the confidence intervals and hypothesis testing, the author provides some relations between these distributions. In Chapter 30, the author considers the bivariate normal distribution, while in the last chapter some nonparametric tests are discussed and covered by many examples.

The book is organized as follows. The first two chapters are introductory chapters. In the first introductory chapter the statistical software StatCalc is presented. This software is used to derive the table values and other statistics presented in the book. The software is very easy for using and only few pages are dedicated to the explanation of this software. The second introductory chapter contains some basic terms and concepts. Some methods of estimation and hypothesis testing are also discussed in this chapter. The next seven chapters are dedicated to the well known discrete distributions: discrete uniform, binomial, hypergeometric, Poisson, geometric, negative binomial and logarithmic series distribution. Main numerical characteristics are presented for each considered distribution. The most important confidence intervals and statistical tests for parameters are discussed in detail and covered by many practical examples. The Chapters 10–29 are focussed on univariate continuous distributions. A large number of continuous distributions are considered, e.g. normal, chi-square, \(F\), exponential, Weibull, gamma, etc. Besides the confidence intervals and hypothesis testing, the author provides some relations between these distributions. In Chapter 30, the author considers the bivariate normal distribution, while in the last chapter some nonparametric tests are discussed and covered by many examples.

Reviewer: Miroslav M. Ristić (Niš)