Probability Theory and Statistics with Real World Applications: Univariate and Multivariate Models Applications

The idea of the book is to present a text that is useful for both students of quantitative sciences and practitioners who work with univariate or multivariate probabilistic models. Since the text should also be suitable for self-study, excessive formalism is avoided though mathematical rigor is retained. A deeper insight into the topics is provided by detailed examples and illustrations. The book covers the standard content of a course in probability and statistics. However, the second edition includes two new chapters about distribution theory and exploratory data analysis. The first-mentioned chapter certainly goes beyond the standard material. It is presented to reflect the growing practical importance of developing new distributions. The second new chapter studies intensively one- and bidimensional concepts like assymetry, kurtosis, correlation and determination coefficients. In particular, examples are intended to enable the reader to take a critical look at the appropriateness of the geometrically motivated concepts.

Peter Zörnig studied mathematics and physics at the University of Dortmund and received his PhD at Fernuniversitäut Hagen. Since 1996 he is professor at the Statistical Department of the University of Brasília where he currently holds the position of associate professor. During his career he has published several books and research papers in the areas of linear programming, mathematics for economists, graph theory, probability and quantitatve linguistics. Recently he has been working in statistical distribution theory, where he studied new univariate and bivariate families of bounded distributions. Elementary ideas from this research are also incorporated into the second edition of his textbook.