Probability Theory and Statistics with Real World Applications
Univariate and Multivariate Models Applications
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Beschreibung
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.
Autor*in
Peter Zörnig
Themen in »Probability Theory and Statistics with Real World Applications«
Univariate und multivariate Modelle Wahrscheinlichkeitsmaße Transformationen von Zufallsvariablen Funktionen generieren Bestellstatistik Univariate and multivariate models Probability measures Transforms of random variables Generating functions Convergence of random variables Order statistics Statistical applications