TY - BOOK AU - Zörnig,Peter TI - Probability theory and statistical applications: a profound treatise for self-study T2 - De Gruyter textbook SN - 9783110363197 U1 - 519.5 23 PY - 2016/// CY - Berlin PB - De Gruyter, KW - Probabilities KW - Mathematical statistics N1 - Includes bibliographical references and index; Contents: Mathematics revision Introduction to probability Finite sample spaces Conditional probability and independence One-dimensional random variables Functions of random variables Bi-dimensional random variables Characteristics of random variables Discrete probability models Continuous probability models Generating functions in probability Sums of many random variables Samples and sampling distributions Estimation of parameters Hypothesis tests N2 - This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality. ER -