Applied Statistics in Social Sciences

This work is a detailed description of different discrete and continuous univariate and multivariate distributions with applications in economics and different financial problems and other scenarios in which these recently developed statistical models have been applied in recent years, including actuarial statistics (with emphasis on credibility theory, ruin theory, calculation of insurance premiums, etc.), stochastic frontier analysis (estimation of technical efficiency), duration models (intraday rate of trading), population geography, income and wealth distribution, physical economy, tourism and sports, among others. Each distribution is dealt with in a separate chapter along with descriptions of all possible applications. The authors also provide a detailed analysis of the proposed probabilistic families, discussing their relationship with existing models, statistical properties, analyzing their strengths and weaknesses, similarities and differences, different estimation methods along with comments on possible applications and extensions. Simulation methods are given for most of the models presented. Many of the probabilistic models shown along with their applications in the fields indicated are a result of numerous research articles published by the authors although others are also provided, mainly based on classical formulations, which have been the starting point of more general models. This volume contains an extensive updated bibliography selected from magazines and books on statistics, mathematics, economics, actuarial sciences and computer science. This book is an essential manual for researchers, professionals, professionals and, in general, for graduate students in computer science, engineering, bioinformatics, statistics and mathematics, since the concise writing style makes the book accessible to a wide audience.