LEADER 03379nam 22007095 450 001 9910502983803321 005 20250327111449.0 010 $a9783030819002 010 $a3030819000 024 7 $a10.1007/978-3-030-81900-2 035 $a(CKB)5140000000012951 035 $a(MiAaPQ)EBC6747489 035 $a(Au-PeEL)EBL6747489 035 $a(OCoLC)1281958968 035 $a(PPN)25829812X 035 $a(DE-He213)978-3-030-81900-2 035 $a(EXLCZ)995140000000012951 100 $a20211007d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMultivariate Exponential Families: A Concise Guide to Statistical Inference /$fby Stefan Bedbur, Udo Kamps 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (147 pages) 225 1 $aSpringerBriefs in Statistics,$x2191-5458 311 08$a9783030818999 311 08$a3030818993 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Parametrizations and Basic Properties -- Distributional and Statistical Properties -- Parameter Estimation -- Hypotheses Testing -- Exemplary Multivariate Applications. 330 $aThis book provides a concise introduction to exponential families. Parametric families of probability distributions and their properties are extensively studied in the literature on statistical modeling and inference. Exponential families of distributions comprise density functions of a particular form, which enables general assertions and leads to nice features. With a focus on parameter estimation and hypotheses testing, the text introduces the reader to distributional and statistical properties of multivariate and multiparameter exponential families along with a variety of detailed examples. The material is widely self-contained and written in a mathematical setting. It may serve both as a concise, mathematically rigorous course on exponential families in a systematic structure and as an introduction to Mathematical Statistics restricted to the use of exponential families. 410 0$aSpringerBriefs in Statistics,$x2191-5458 606 $aStatistics 606 $aStatistics 606 $aBiometry 606 $aComputer science$xMathematics 606 $aMathematical statistics 606 $aStatistical Theory and Methods 606 $aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 606 $aBiostatistics 606 $aProbability and Statistics in Computer Science 615 0$aStatistics. 615 0$aStatistics. 615 0$aBiometry. 615 0$aComputer science$xMathematics. 615 0$aMathematical statistics. 615 14$aStatistical Theory and Methods. 615 24$aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 615 24$aBiostatistics. 615 24$aProbability and Statistics in Computer Science. 676 $a519.5 700 $aBedbur$b Stefan$01072927 702 $aKamps$b Udo$f1959- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910502983803321 996 $aMultivariate exponential families$92897505 997 $aUNINA