LEADER 02430nam 2200577 450 001 9910478880203321 005 20180613001301.0 010 $a1-4704-0253-X 035 $a(CKB)3360000000464848 035 $a(EBL)3114451 035 $a(SSID)ssj0000889035 035 $a(PQKBManifestationID)11452877 035 $a(PQKBTitleCode)TC0000889035 035 $a(PQKBWorkID)10875133 035 $a(PQKB)10901913 035 $a(MiAaPQ)EBC3114451 035 $a(PPN)195415485 035 $a(EXLCZ)993360000000464848 100 $a19990125h19991999 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLimit theorems for functionals of ergodic Markov chains with general state space /$fXia Chen 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1999] 210 4$dİ1999 215 $a1 online resource (225 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 664 300 $a"May 1999, volume 139, number 664 (third of 5 numbers)." 311 $a0-8218-1060-X 320 $aIncludes bibliographical references (pages 200-203). 327 $a""Contents""; ""Introduction""; ""Chapter I. Split Chain and Regeneration""; ""I-1 Motivation and notation""; ""I-2 Split chain""; ""I-3 Maximal and minimal inequalities""; ""I-4 Maximal integrability on small sets""; ""Chapter II. The Central Limit Theorem""; ""II-1 Introduction""; ""II-2 Validity of CLT""; ""II-3 Identification of the limiting variance in the CLT""; ""II-4 The CLT and the ergodicity conditions""; ""Chapter III. The Law of the Iterated Logarithm""; ""III-1 Introduction""; ""III-2 The LIL and CLT""; ""III-3 Some remarks on the limit set""; ""III-4 The LIL in vector setting"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 664. 606 $aCentral limit theorem 606 $aMarkov processes 606 $aLarge deviations 608 $aElectronic books. 615 0$aCentral limit theorem. 615 0$aMarkov processes. 615 0$aLarge deviations. 676 $a510 s 676 $a519.2 700 $aChen$b Xia$f1956-$0992745 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910478880203321 996 $aLimit theorems for functionals of ergodic Markov chains with general state space$92273226 997 $aUNINA