02944nam 22005415 450 991015541230332120240505171525.03-11-046617-110.1515/9783110466195(CKB)3710000000918183(MiAaPQ)EBC4768930(DE-B1597)462546(OCoLC)979746283(DE-B1597)9783110466195(EXLCZ)99371000000091818320190326d2016 fg engurcnu||||||||rdacontentrdamediardacarrierProbability Theory A First Course in Probability Theory and Statistics /Werner Linde1st ed.Berlin ;Boston : De Gruyter, [2016]©20161 online resource (410 pages) illustrationsDe Gruyter Textbook3-11-046625-2 3-11-046619-8 Includes bibliographical references and index.Frontmatter -- Preface -- Contents -- 1. Probabilities -- 2. Conditional Probabilities and Independence -- 3. Random Variables and Their Distribution -- 4. Operations on Random Variables -- 5. Expected Value, Variance, and Covariance -- 6. Normally Distributed Random Vectors -- 7. Limit Theorems -- 8. Mathematical Statistics -- A Appendix -- Bibliography -- IndexThis 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:ProbabilitiesConditional Probabilities and IndependenceRandom Variables and Their DistributionOperations on Random VariablesExpected Value, Variance, and CovarianceNormally Distributed Random VectorsLimit TheoremsMathematical StatisticsAppendixBibliographyIndex ProbabilitiesTextbooksMathematical statisticsTextbooksMeasure theoryTextbooksProbabilitiesMathematical statisticsMeasure theory519.2519.2000000000Linde Werner, 536467Linde Werner1947- Stochastik für das Lehramt.1244369DE-B1597DE-B1597BOOK9910155412303321Probability Theory2886643UNINA