LEADER 04088nam 22007935 450 001 9910299974303321 005 20200706005516.0 010 $a3-319-12172-3 024 7 $a10.1007/978-3-319-12172-7 035 $a(CKB)3710000000305317 035 $a(EBL)1967806 035 $a(OCoLC)899000308 035 $a(SSID)ssj0001386794 035 $a(PQKBManifestationID)11764681 035 $a(PQKBTitleCode)TC0001386794 035 $a(PQKBWorkID)11374561 035 $a(PQKB)10674610 035 $a(MiAaPQ)EBC1967806 035 $a(DE-He213)978-3-319-12172-7 035 $a(PPN)183095685 035 $a(EXLCZ)993710000000305317 100 $a20141114d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStochastic Processes - Inference Theory /$fby Malempati M. Rao 205 $a2nd ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (685 p.) 225 1 $aSpringer Monographs in Mathematics,$x1439-7382 300 $aDescription based upon print version of record. 311 $a3-319-12171-5 320 $aIncludes bibliographical references and index. 327 $a1.Introduction and Preliminaries -- 2.Some Principles of Hypothesis Testing -- 3.Parameter Estimation and Asymptotics -- 4.Inferences for Classes of Processes -- 5.Likelihood Ratios for Processes -- 6.Sampling Methods for Processes -- 7.More on Stochastic Inference -- 8.Prediction and Filtering of Processes -- 9.Nonparametric Estimation for Processes -- Bibliography -- Index. 330 $aThis is the revised and enlarged 2nd edition of the authors? original text, which was intended to be a modest complement to Grenander's fundamental memoir on stochastic processes and related inference theory. The present volume gives a substantial account of regression analysis, both for stochastic processes and measures, and includes recent material on Ridge regression with some unexpected applications, for example in econometrics. The first three chapters can be used for a quarter or semester graduate course on inference on stochastic processes. The remaining chapters provide more advanced material on stochastic analysis suitable for graduate seminars and discussions, leading to dissertation or research work. In general, the book will be of interest to researchers in probability theory, mathematical statistics and electrical and information theory. 410 0$aSpringer Monographs in Mathematics,$x1439-7382 606 $aProbabilities 606 $aStatistics 606 $aMeasure theory 606 $aFourier analysis 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aStatistics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/S0000X 606 $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aProbabilities. 615 0$aStatistics. 615 0$aMeasure theory. 615 0$aFourier analysis. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aStatistics, general. 615 24$aMeasure and Integration. 615 24$aFourier Analysis. 615 24$aApplications of Mathematics. 676 $a519.23 700 $aRao$b Malempati M$4aut$4http://id.loc.gov/vocabulary/relators/aut$0726217 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299974303321 996 $aStochastic processes-Inference theory$91409928 997 $aUNINA