000 02790nam a22004813i 4500
001 EBC3114451
003 MiAaPQ
005 20240729124608.0
006 m o d |
007 cr cnu||||||||
008 240724s1999 xx o ||||0 eng d
020 _a9781470402532
_q(electronic bk.)
020 _z9780821810606
035 _a(MiAaPQ)EBC3114451
035 _a(Au-PeEL)EBL3114451
035 _a(CaPaEBR)ebr11041229
035 _a(OCoLC)922965007
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA274.7 -- .C44 1999eb
082 0 _a510 s;519.2
100 1 _aChen, Xia.
245 1 0 _aLimit Theorems for Functionals of Ergodic Markov Chains with General State Space.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c1999.
264 4 _c©1999.
300 _a1 online resource (225 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMemoirs of the American Mathematical Society ;
_vv.139
505 0 _aIntro -- 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 -- III-5 Some consequences -- III-6 Supplement -- Chapter IV. The moderate Deviation Principle -- IV-1 Introduction -- IV-2 Upper bounds -- IV-3 Lower bounds - for chains with a small set of order 1 -- IV-4 Lower bounds „ when ξ is bounded -- IV-5 Lower bounds „ when ξ ∈ CLT -- Appendix -- References.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aCentral limit theorem.
650 0 _aMarkov processes.
650 0 _aLarge deviations.
655 4 _aElectronic books.
700 1 _aChen, Xiao-Ming.
776 0 8 _iPrint version:
_aChen, Xia
_tLimit Theorems for Functionals of Ergodic Markov Chains with General State Space
_dProvidence : American Mathematical Society,c1999
_z9780821810606
797 2 _aProQuest (Firm)
830 0 _aMemoirs of the American Mathematical Society
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114451
_zClick to View
999 _c69946
_d69946