Results 11 to 20 of about 1,623,252 (283)
Further Spitzer’s law for widely orthant dependent random variables
Journal 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
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On conditions for the strong law of large numbers in general Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2000 We give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.
Anna Kuczmaszewska, Dominik Szynal
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Strong limit theorems in the multi-color generalized allocation scheme [PDF]
, 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
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Laws of large numbers for ratios of uniform random variables
Open 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
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Strong Law of Large Numbers for branching diffusions [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2010 Let $X$ be the branching particle diffusion corresponding to the operator $Lu+ (u^{2}-u)$ on $D\subseteq \mathbb{R}^{d}$ (where $ \geq 0$ and $ \not\equiv 0$). Let $ _{c}$ denote the generalized principal eigenvalue for the operator $L+ $ on $D$ and assume that it is finite.
Engländer, János +2 more
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A strong law of large numbers for branching processes: almost sure spine events [PDF]
, 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.
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Strong law of large numbers for fragmentation processes [PDF]
Annales 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
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Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
Journal 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
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Mathematics, 2023 In this paper we study the Marcinkiewicz–Zygmund-type strong law of large numbers with general normalizing sequences under sublinear expectation. Specifically, we establish complete convergence in the Marcinkiewicz–Zygmund-type strong law of large ...
Shuxia Guo, Zhe Meng
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A Multivalued Strong Law of Large Numbers [PDF]
Journal of Theoretical Probability, 2014 Research partially funded by Spain's Ministerio de Ciencia e Innovación (TIN2008- 06796-C04-04, MTM2011-22993, ECO1022-24181).
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