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010   $a3-319-34072-7
024 7 $a10.1007/978-3-319-34072-2
035   $a(CKB)3710000000734713
035   $a(DE-He213)978-3-319-34072-2
035   $a(MiAaPQ)EBC6313205
035   $a(MiAaPQ)EBC5610822
035   $a(Au-PeEL)EBL5610822
035   $a(OCoLC)952413085
035   $a(PPN)194378934
035   $a(EXLCZ)993710000000734713
100   $a20160616d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aApproximation Methods in Probability Theory /$fby Vydas ?ekanavi?ius
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XII, 274 p.) 
225 1 $aUniversitext,$x0172-5939
300   $aIncludes index.
311 08$a3-319-34071-9 
327   $aDefinitions and preliminary facts -- The method of convolutions -- Local lattice estimates -- Uniform lattice estimates -- Total variation of lattice measures -- Non-uniform estimates for lattice measures -- Discrete non-lattice approximations -- Absolutely continuous approximations -- The Esseen type estimates -- Lower estimates -- The Stein method -- The triangle function method -- Heinrich's method for m-dependent variables -- Other methods -- Solutions to selected problems -- Bibliography -- Index.
330   $aThis book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textbook provides valuable tools for proving approximation theorems. While Approximation Methods in Probability Theory will appeal to everyone interested in limit theorems of probability theory, the book is particularly aimed at graduate students who have completed a standard intermediate course in probability theory. Furthermore, experienced researchers wanting to enlarge their toolkit will also find this book useful.
410  0$aUniversitext,$x0172-5939
606   $aProbabilities
606   $aApproximation theory
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
615  0$aProbabilities.
615  0$aApproximation theory.
615 14$aProbability Theory and Stochastic Processes.
615 24$aApproximations and Expansions.
676   $a511.4
700   $aC?ekanavic?ius$b Vydas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755837
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910392722503321
996   $aApproximation methods in probability theory$91523166
997   $aUNINA