Results 11 to 20 of about 156,057 (270)
Strong Large Deviation and Local Limit Theorems [PDF]
The Annals of Probability, 1986 Let \(\{Y_ n, n \geq 1\}\) be a sequence of random variables which converge weakly to a random variable \(Y\). The pseudodensity function of \(Y_ n\) is defined by \(q_ n(y;b_ n,S)= {b_ n \over \mu(S)}P(b_ n(Y_ n-y) \in S)\), where \(b_ n \to \infty\), \(\mu\) is the Lebesgue measure on \(R\) and \(S\) is a measurable subset of \(R\) such that ...
Chaganty, Narasinga Rao +1 more
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Strong limit theorems for anisotropic self-similar fields
Modern Stochastics: Theory and Applications, 2014 Our paper starts from presentation and comparison of three definitions for the self-similar field. The interconnection between these definitions has been established.
V. Makogin, Yu. Mishura
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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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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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Some convergence results on quadratic forms for random fields and application to empirical covariances [PDF]
, 2010 Limit theorems are proved for quadratic forms of Gaussian random fields in presence of long memory. We obtain a non central limit theorem under a minimal integrability condition, which allows isotropic and anisotropic models.
Lavancier, Frédéric, Philippe, Anne
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Some strong limit theorems for nonhomogeneous Markov chains indexed by controlled trees
Journal of Inequalities and Applications, 2016 In this paper, a kind of infinite, local finite tree T, named a controlled tree, is introduced. Some strong limit properties, such as the strong law of large numbers and the asymptotic equipartition property, for nonhomogeneous Markov chains indexed by T,
Weicai Peng +4 more
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Random walks with sticky barriers
Modern Stochastics: Theory and Applications, 2022 A new class of multidimensional locally perturbed random walks called random walks with sticky barriers is introduced and analyzed. The laws of large numbers and functional limit theorems are proved for hitting times of successive barriers.
Vladyslav Bohun, Alexander Marynych
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经典组合优化问题的概率极限定理(Probability limit theorems of classical combinatorial optimization problems)
Zhejiang Daxue xuebao. Lixue ban, 2000 A review was given of the principal probability limit theorems of solutions to classical combinatorial optimization problems.The emphasis was on the travelling salesman problems,minimal spanning trees,matching and lengths of the longest increasing ...
SUZhong-gen(苏中根)
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Weak and Strong Limit Theorems for Stochastic Processes under Nonadditive Probability
Abstract and Applied Analysis, 2014 This paper extends laws of large numbers under upper probability to sequences of stochastic processes generated by linear interpolation. This extension characterizes the relation between sequences of stochastic processes and subsets of continuous ...
Xiaoyan Chen, Zengjing Chen
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Random recursive trees: A boundary theory approach [PDF]
, 2014 We show that an algorithmic construction of sequences of recursive trees leads to a direct proof of the convergence of random recursive trees in an associated Doob-Martin compactification; it also gives a representation of the limit in terms of the input
Grübel, Rudolf, Michailow, Igor
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