LEADER 02944nam 22005415 450 001 9910155412303321 005 20240505171525.0 010 $a3-11-046617-1 024 7 $a10.1515/9783110466195 035 $a(CKB)3710000000918183 035 $a(MiAaPQ)EBC4768930 035 $a(DE-B1597)462546 035 $a(OCoLC)979746283 035 $a(DE-B1597)9783110466195 035 $a(EXLCZ)993710000000918183 100 $a20190326d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aProbability Theory $eA First Course in Probability Theory and Statistics /$fWerner Linde 205 $a1st ed. 210 1$aBerlin ;$aBoston : $cDe Gruyter, $d[2016] 210 4$dİ2016 215 $a1 online resource (410 pages) $cillustrations 225 0 $aDe Gruyter Textbook 311 $a3-11-046625-2 311 $a3-11-046619-8 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPreface -- $tContents -- $t1. Probabilities -- $t2. Conditional Probabilities and Independence -- $t3. Random Variables and Their Distribution -- $t4. Operations on Random Variables -- $t5. Expected Value, Variance, and Covariance -- $t6. Normally Distributed Random Vectors -- $t7. Limit Theorems -- $t8. Mathematical Statistics -- $tA Appendix -- $tBibliography -- $tIndex 330 $aThis 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 606 $aProbabilities$vTextbooks 606 $aMathematical statistics$vTextbooks 606 $aMeasure theory$vTextbooks 615 0$aProbabilities 615 0$aMathematical statistics 615 0$aMeasure theory 676 $a519.2 676 $a519.2000000000 700 $aLinde$b Werner, $0536467 701 $aLinde$b Werner$f1947- Stochastik fu?r das Lehramt.$01244369 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910155412303321 996 $aProbability Theory$92886643 997 $aUNINA