Results 21 to 30 of about 1,623,067 (304)

Further Spitzer’s law for widely orthant dependent random variables

open access: yesJournal of Inequalities and Applications, 2021
The Spitzer’s law is obtained for the maximum partial sums of widely orthant dependent random variables under more optimal moment conditions.
Pingyan Chen, Jingjing Luo, Soo Hak Sung
doaj   +1 more source

Laws of large numbers for ratios of uniform random variables

open access: yesOpen Mathematics, 2015
Let {Xnn n ≥ 1} and {Yn, n ≥ 1} be two sequences of uniform random variables. We obtain various strong and weak laws of large numbers for the ratio of these two sequences.
Adler André
doaj   +1 more source

A strong law of large numbers for branching processes: almost sure spine events [PDF]

open access: yes, 2013
We demonstrate a novel strong law of large numbers for branching processes, with a simple proof via measure-theoretic manipulations and spine theory. Roughly speaking, any sequence of events that eventually occurs almost surely for the spine entails the ...
Harris, Simon C., Roberts, Matthew I.
core   +2 more sources

Strong law of large numbers for fragmentation processes [PDF]

open access: yesAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2010
In the spirit of a classical results for Crump-Mode-Jagers processes, we prove a strong law of large numbers for homogenous fragmentation processes. Specifically, for self-similar fragmentation processes, including homogenous processes, we prove the almost sure convergence of an empirical measure associated with the stopping line corresponding to first
Harris, S. C.   +2 more
openaire   +4 more sources

A Multivalued Strong Law of Large Numbers [PDF]

open access: yesJournal of Theoretical Probability, 2014
Research partially funded by Spain's Ministerio de Ciencia e Innovación (TIN2008- 06796-C04-04, MTM2011-22993, ECO1022-24181).
openaire   +2 more sources

A Strong Law of Large Numbers for Martingales [PDF]

open access: yesProceedings of the American Mathematical Society, 1984
We derive a moment inequality for the Skorohod representation theorem and apply it to obtain a strong law of large numbers for martingales.
Sheu, Shey Shiung, Yao, Yu Shan
openaire   +1 more source

Strong limit theorems in the multi-color generalized allocation scheme [PDF]

open access: yes, 2014
The generalized allocation scheme is studied. Its extension for coloured balls is defined. Some analogues of the Law of the Iterated Logarithm and the Strong Law of Large Numbers are obtained for the number of boxes containing fixed numbers of balls ...
Chuprunov, Alexey, Fazekas, István
core   +2 more sources

Some limit theorems for weighted negative quadrant dependent random variables with infinite mean

open access: yesJournal of Inequalities and Applications, 2018
In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random ...
Fuqiang Ma, Jianmin Li, Tiantian Hou
doaj   +1 more source

An extension of Feller’s strong law of large numbers [PDF]

open access: yesStatistics & Probability Letters, 2018
10 pages. arXiv admin note: text overlap with arXiv:1703.07868.
Department of Mathematical Sciences, Lakehead University, Thunder Bay, Ontario, Canada ( host institution )   +3 more
openaire   +4 more sources

Strong law of large numbers for ρ*-mixing sequences with different distributions

open access: yesDiscrete Dynamics in Nature and Society, 2006
Strong law of large numbers and complete convergence for ρ*-mixing sequences with different distributions are investigated. The results obtained improve the relevant results by Utev and Peligrad (2003).
Guang-Hui Cai
doaj   +1 more source

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