ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES

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NILI SANI H.R.; BOZORGNIA A.A.GH.

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ISSN: 2588-4824

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Paper Information

Journal: Journal of Sciences, Islamic Republic of Iran Year:2003 | Volume:14 | Issue:3 Page(s): 271-275

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Title

ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES

Author(s)

NILI SANI H.R. | BOZORGNIA A.A.GH. | Issue Writer Certificate

Keywords

COMPLETE CONVERGENCE; STRONG LAW OF LARGE NUMBERS; PAIRWISE NEGATIVELY DEPENDENT R.V.’S; NEGATIVELY ASSOCIATED R.V.’S; CESÀRO UNIFORMLY INTEGRABLE R.V.’S

Abstract

In this paper, we extend and generalize some recent results on the strong laws of large numbers (SLLN) for pairwise independent random variables [3]. No assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). Also Chandra’s result on Cesàro uniformly integrable r.v.’s is extended.

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APA: Copy

NILI SANI, H.R., & BOZORGNIA, A.A.GH.. (2003). ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 14(3), 271-275. SID. https://sid.ir/paper/529075/en

Vancouver: Copy

NILI SANI H.R., BOZORGNIA A.A.GH.. ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2003;14(3):271-275. Available from: https://sid.ir/paper/529075/en

IEEE: Copy

H.R. NILI SANI, and A.A.GH. BOZORGNIA, “ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 14, no. 3, pp. 271–275, 2003, [Online]. Available: https://sid.ir/paper/529075/en

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