LEADER 04485nam 2200529 450 001 9910820201603321 005 20200520144314.0 035 $a(CKB)3710000000276871 035 $a(SSID)ssj0001367283 035 $a(PQKBManifestationID)12613000 035 $a(PQKBTitleCode)TC0001367283 035 $a(PQKBWorkID)11427758 035 $a(PQKB)10654045 035 $a(Au-PeEL)EBL5754517 035 $a(OCoLC)893164163 035 $a(CaSebORM)9780128001141 035 $a(MiAaPQ)EBC5754517 035 $a(EXLCZ)993710000000276871 100 $a20190515d2015 uy 0 101 0 $aeng 135 $aurunu||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to probability and statistical inference /$fGeorge G. Roussas 205 $aSecond edition. 210 1$aAmsterdam :$cElsevier,$d[2015] 210 4$dİ2015 215 $a1 online resource (1 v.) $cillustrations 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-12-800437-1 311 $a0-12-800114-3 327 $aSome motivating examples and some fundamental concepts -- The concept of probability and some basic results -- Numerical characteristics of a random variable, some special random variables -- Joint and conditional P.D.F.'s, conditional expectation and variance, moment generating function, covariance and correlation coefficient -- Independence of random variables and some applications -- Transformation of random variables -- Some modes of convergence of random variables, applications -- An overview of statistical inference -- Point estimation -- Confidence intervals and confidence regions -- Testing hypotheses -- More about testing hypotheses -- A simple linear regression model -- Two analysis of variance models -- Some topics in nonparametric inference. 330 $aAn Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed question or situation. It provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. This text contains an enhanced number of exercises and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities. Reorganized material is included in the statistical portion of the book to ensure continuity and enhance understanding. Each section includes relevant proofs where appropriate, followed by exercises with useful clues to their solutions. Furthermore, there are brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises are available to instructors in an Answers Manual. This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, business, social sciences or agriculture. Content, examples, an enhanced number of exercises, and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities Reorganized material in the statistical portion of the book to ensure continuity and enhance understanding A relatively rigorous, yet accessible and always within the prescribed prerequisites, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplines Relevant proofs where appropriate in each section, followed by exercises with useful clues to their solutions Brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises available to instructors in an Answers Manual 606 $aProbabilities$vTextbooks 606 $aMathematical statistics 615 0$aProbabilities 615 0$aMathematical statistics. 676 $a519.2 700 $aRoussas$b George G.$012108 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820201603321 996 $aAn introduction to probability and statistical inference$93928323 997 $aUNINA