A Class of Strong Limit Theorems for Random Field with Geometric Distributions Indexed by a Homogeneous Tree

Kang Kang Wang

Abstract


In this paper, we establish some strong limit theorem for the random field which
obeys the geometric distributions indexed by the homogeneous tree by constructing the
consistent distribution and a nonnegative martingale with pure analytical methods.
As corollaries, a limit theorem for the sequence of random variables with the geometric
distributions is extended.60F15

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|