TY - BOOK AU - Linde,Werner TI - Probability theory : a first course in probability theory and statistics SN - 9783110466171 (pbk. : acid-free paper) U1 - 519.2 PY - 2016/// CY - Berlin PB - De Gruyter KW - Probabilities KW - Mathematical statistics KW - Measure theory N1 - "Revised version of the German edition Stochastik für das Lehramt"--Preface N2 - This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author's 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents: Probabilities Conditional Probabilities and Independence Random Variables and Their Distribution Operations on Random Variables Expected Value, Variance, and Covariance Normally Distributed Random Vectors Limit Theorems Mathematical Statistics Appendix Bibliography Index ER -