000			03161nam a22004813i 4500
001			EBC3114088
003			MiAaPQ
005			20240729124559.0
006			m o d |
007			cr cnu||||||||
008			240724s2014 xx o ||||0 eng d
020			_a9781470414825 _q(electronic bk.)
020			_z9780821890899
035			_a(MiAaPQ)EBC3114088
035			_a(Au-PeEL)EBL3114088
035			_a(CaPaEBR)ebr11039707
035			_a(OCoLC)922981617
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA273.67 -- .A26 2013eb
082	0		_a519.233
100	1		_ade Acosta, Alejandro D.
245	1	0	_aLarge Deviations for Additive Functionals of Markov Chains.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2014.
264		4	_c©2013.
300			_a1 online resource (120 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.228
505	0		_aIntro -- Contents -- Chapter 1. Introduction -- Chapter 2. The transform kernels _{ } and their convergence parameters -- 2.1. Irreducibility -- 2.2. Small functions and measures -- 2.3. The convergence parameter -- 2.4. The period of _{ } and aperiodicity -- Chapter 3. Comparison of Λ( ) and _{ }( ) -- Chapter 4. Proof of Theorem 1 -- Chapter 5. A characteristic equation and the analyticity of Λ_{ }: the case when has an atom ∈ ⁺ satisfying *( )&gt -- 0 -- Chapter 6. Characteristic equations and the analyticity of Λ_{ }: the general case when is geometrically ergodic -- Chapter 7. Differentiation formulas for _{ } and Λ_{ } in the general case and their consequences -- Chapter 8. Proof of Theorem 2 -- Chapter 9. Proof of Theorem 3 -- Chapter 10. Examples -- Chapter 11. Applications to an autoregressive process and to reflected random walk -- 11.1. Application of Theorem 1 to an autoregressive process -- 11.2. Application of Theorem 2 to reflected random walk -- Appendix -- AI. Renewal sequences -- AII. Complex kernels and their associated renewal sequences -- AIII. Renewal characterization of the convergence parameter -- AIV. Some consequences of ergodicity -- AV. Geometric ergodicity -- Background comments -- 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	_aLarge deviations.
650		0	_aMarkov processes.
650		0	_aAdditive functions.
655		4	_aElectronic books.
700	1		_aNey, Peter.
776	0	8	_iPrint version: _ade Acosta, Alejandro D. _tLarge Deviations for Additive Functionals of Markov Chains _dProvidence : American Mathematical Society,c2014 _z9780821890899
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114088 _zClick to View
999			_c69619 _d69619