A Compendium of Univariate Statistical Distributions

Om boken

Statistical distributions are the bedrock of statistical theory and practice, offering models that describe the behavior of data across countless domains, from engineering to economics, biology to social sciences. In particular, univariate statistical distributions, those that describe the distribution of a single variable, are of immense importance. They help statisticians model randomness, quantify uncertainty, and make inferences about populations from sample data. A Compendium of Univariate Statistical Distributions provides a comprehensive, accessible, and systematic guide to the fundamental univariate distributions encountered in statistical analysis. The book explores a variety of univariate distributions, ranging from widely known distributions such as the Normal, Exponential, and Binomial, to less commonly encountered yet equally important ones like the Birnbaum-Sanders and von Mises distributions. Each chapter is dedicated to a particular distribution, providing a deep dive into its characteristics and basic properties. Throughout this book, the focus is on providing both detailed theoretical insights and practical guidance on the use of each distribution in applied settings. The work aims to be informative and inspiring, deepening understanding of the power and versatility of statistical distributions in data analysis.