Results 1 to 10 of about 40,328 (151)
A Weak Law of Large Numbers for Dependent Random Variables
Theory of Probability and Its Applications, 2023 Любая последовательность $f_1, f_2, …$ случайных величин, удовлетворяющая условию $\lim_{M\to\infty}(M \sup_{k\in \mathbf N} \mathbf{P}(|f_k|> M))=0$, содержит подпоследовательность $f_{k_1}, f_{k_2}, …$, которая вместе со всеми своими подпоследовательностями удовлетворяет слабому закону больших чисел $\lim_{N\to\infty} ((1/N) \sum^N_{n=1} f_{k_n ...
Karatzas, I., Schachermayer, W.
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On weak laws of large numbers for maximal partial sums of pairwise independent random variables
Comptes Rendus. Mathématique, 2023 This paper develops Rio’s method [11] to prove the weak law of large numbers for maximal partial sums of pairwise independent random variables. The method allows us to avoid using the Kolmogorov maximal inequality.
Thành, Lê Vǎn
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Open Mathematics, 2023 In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated ...
He Qihui, Pan Lin
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Convergence Theorems for m-Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces
Complexity, 2021 In this study, some new results on convergence properties for m-coordinatewise negatively associated random vectors in Hilbert space are investigated. The weak law of large numbers, strong law of large numbers, complete convergence, and complete moment ...
Lyurong Shi
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On weak law of large numbers for sums of negatively superadditive dependent random variables
Comptes Rendus. Mathématique, 2020 In this paper, we extend Kolmogorov–Feller weak law of large numbers for maximal weighted sums of negatively superadditive dependent (NSD) random variables.
Naderi, Habib +3 more
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Mathematics, 2023 Several studies have been conducted on scaling limits for Markov-modulated infinite-server queues. To the best of our knowledge, most of these studies adopt an approach to prove the convergence of the moment-generating function (or characteristic ...
Ayane Nakamura , Tuan Phung-Duc
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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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Radiation statistics of a degenerate parametric oscillator at threshold
SciPost Physics, 2023 As a function of the driving strength, a degenerate parametric oscillator exhibits an instability at which spontaneous oscillations occur. Close to threshold, both the nonlinearity as well as fluctuations are vital to the accurate description of the ...
Fabian Hassler, Steven Kim, Lisa Arndt
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
Mathematics, 2023 The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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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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