Results 1 to 10 of about 38,681 (149)
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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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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Entropy, 2021 A family of heterogeneous mean-field systems with jumps is analyzed. These systems are constructed as a Gibbs measure on block graphs. When the total number of particles goes to infinity, the law of large numbers is shown to hold in a multi-class context,
Donald A. Dawson +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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On the number of zero increments of random walks with a barrier [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Continuing the line of research initiated in Iksanov and Möhle (2008) and Negadajlov (2008) we investigate the asymptotic (as $n \to \infty$) behaviour of $V_n$ the number of zero increments before the absorption in a random walk with the barrier $n$. In
Alex Iksanov, Pavlo Negadajlov
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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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