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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제5호
- 발행연도
- 2015.1
- 수록면
- 517 - 530 (14page)
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In this paper, we establish a class of strong limit theorems, represented by inequalities, for the arbitrary random field with respect to the product binomial distributions indexed by the infinite tree on the generalized random selection system by constructing the consistent distri-bution and a nonnegative martingale with pure analytical methods. As corollaries, some limit properties for the Markov chain field with respect to the binomial distributions indexed by the infinite tree on the generalized random selection system are studied.
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참고문헌 (15)
참고문헌 신청
I. Benjammini. / 1994 / Markov chains indexed by trees / Ann. Probab 22:219~243
W. Liu. / 2015 / A strong limit theorem for the average of ternary functions of Markov chains in bi-in nite random environments / Statist. Probab. Letts 100:12~18
W. Liu. / 2004 / Some strong limit theorems for Markov chain elds on trees / Probab. Eng. Inform. Sci 18:411~422
W. Liu. / 1996 / An extension of Shannon-McMillan theorem and some limit proper-ties for nonhomogeneous Markov chains / Stochastic Process. Appl 61:129~145
W. Yang. / 2014 / Strong laws of large numbers for asymptotic even-odd Markov chains indexed by a homogeneous tree / J. Math. Anal. Appl 410:179~189
W. Liu. / 2015 / A strong limit theorem for the average of ternary functions of Markov chains in bi-in nite random environments / Statist. Probab. Letts 100:12~18
W. Liu. / 2004 / Some strong limit theorems for Markov chain elds on trees / Probab. Eng. Inform. Sci 18:411~422
W. Liu. / 1996 / An extension of Shannon-McMillan theorem and some limit proper-ties for nonhomogeneous Markov chains / Stochastic Process. Appl 61:129~145
W. Yang. / 2014 / Strong laws of large numbers for asymptotic even-odd Markov chains indexed by a homogeneous tree / J. Math. Anal. Appl 410:179~189
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