Hoeffding’s inequalities for geometrically ergodic Markov chains on general state space

Błażej Miasojedow

Statistics & Probability Letters, 2014, vol. 87, issue C, 115-120

Abstract: Let (Xn)n≥1 be a Markov chain on a general state space with stationary distribution π and a spectral gap in the space Lπ2. In this paper, we prove that the probabilities of large deviations of sums Sn=∑k=1nf(Xk) satisfy an inequality of Hoeffding type. We generalize results of León and Perron (2004) in two directions; in our paper the state space is general and we do not assume reversibility.

Keywords: Hoeffding’s inequality; Markov chains; Spectral gap; Geometric ergodicity (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167715214000248
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:87:y:2014:i:c:p:115-120

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spl.2014.01.013

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().