National Changhua University of Education Institutional Repository : Item 987654321/16704

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/16704

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/16704

Title:	Compound Poisson Limit Theorems for Markov Chains
Authors:	Hsiau, Shoou-Ren
Contributors:	數學系
Keywords:	Characteristic function;Compound Poisson limit theorem;Markov chain;Poisson limit theorem;Probability generating function
Date:	1997-03
Issue Date:	2013-06-05T07:41:03Z
Publisher:	Applied Probability Trust
Abstract:	This paper establishes a compound Poisson limit theorem for the sum of a sequence of multi-state Markov chains. Our theorem generalizes an earlier one by Koopman for the two-state Markov chain. Moreover, a similar approach is used to derive a limit theorem for the sum of the k th-order two-state Markov chain.
Relation:	Journal of Applied Probability, 34(1): 24-34
Appears in Collections:	[math] Periodical Articles

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