02430nam 2200577 450 991047888020332120180613001301.01-4704-0253-X(CKB)3360000000464848(EBL)3114451(SSID)ssj0000889035(PQKBManifestationID)11452877(PQKBTitleCode)TC0000889035(PQKBWorkID)10875133(PQKB)10901913(MiAaPQ)EBC3114451(PPN)195415485(EXLCZ)99336000000046484819990125h19991999 uy| 0engur|n|---|||||txtccrLimit theorems for functionals of ergodic Markov chains with general state space /Xia ChenProvidence, Rhode Island :American Mathematical Society,[1999]©19991 online resource (225 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 664"May 1999, volume 139, number 664 (third of 5 numbers)."0-8218-1060-X Includes bibliographical references (pages 200-203).""Contents""; ""Introduction""; ""Chapter I. Split Chain and Regeneration""; ""I-1 Motivation and notation""; ""I-2 Split chain""; ""I-3 Maximal and minimal inequalities""; ""I-4 Maximal integrability on small sets""; ""Chapter II. The Central Limit Theorem""; ""II-1 Introduction""; ""II-2 Validity of CLT""; ""II-3 Identification of the limiting variance in the CLT""; ""II-4 The CLT and the ergodicity conditions""; ""Chapter III. The Law of the Iterated Logarithm""; ""III-1 Introduction""; ""III-2 The LIL and CLT""; ""III-3 Some remarks on the limit set""; ""III-4 The LIL in vector setting""Memoirs of the American Mathematical Society ;no. 664.Central limit theoremMarkov processesLarge deviationsElectronic books.Central limit theorem.Markov processes.Large deviations.510 s519.2Chen Xia1956-992745MiAaPQMiAaPQMiAaPQBOOK9910478880203321Limit theorems for functionals of ergodic Markov chains with general state space2273226UNINA