CENTRAL AND LOCAL LIMIT THEOREMS IN MARKOV DEPENDENT RANDOM VARIABLES

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RAHIMZADEH SANI A.

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Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2008 | Volume:34 | Issue:1 Page(s): 23-35

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Information Journal Paper

Title

CENTRAL AND LOCAL LIMIT THEOREMS IN MARKOV DEPENDENT RANDOM VARIABLES

Author(s)

RAHIMZADEH SANI A. | Issue Writer Certificate

Keywords

CENTRAL LIMIT THEOREM

LOCAL LIMIT THEOREM

MARKOV ADDITIVE PROCESS

MAXIMUM MODULUS EIGENVALUE

Abstract

We consider an irreducible and aperiodic Markov chain {kn}n=0 over the finite state space E = {1, . . . , p} with positive regular transition matrix P = {pij} and additive component {Un} such that {Sn} = {(kn , Un)} is also a Markov chain over the state space e1 = E × R We prove a central and a LOCAL LIMIT THEOREM for this chain when the probability density functions of {Sn}, conditional on the first and the last states of {kn}n=0, exist.

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APA: Copy

RAHIMZADEH SANI, A.. (2008). CENTRAL AND LOCAL LIMIT THEOREMS IN MARKOV DEPENDENT RANDOM VARIABLES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 34(1), 23-35. SID. https://sid.ir/paper/560820/en

Vancouver: Copy

RAHIMZADEH SANI A.. CENTRAL AND LOCAL LIMIT THEOREMS IN MARKOV DEPENDENT RANDOM VARIABLES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2008;34(1):23-35. Available from: https://sid.ir/paper/560820/en

IEEE: Copy

A. RAHIMZADEH SANI, “CENTRAL AND LOCAL LIMIT THEOREMS IN MARKOV DEPENDENT RANDOM VARIABLES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 34, no. 1, pp. 23–35, 2008, [Online]. Available: https://sid.ir/paper/560820/en

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