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Almost Sure Convergence for Stochastic Integrals
Almost Sure Convergence for Stochastic Integralsopenaire +1 more source
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Almost Sure Convergence in Extreme Value Theory
Mathematische Nachrichten, 1998AbstractLet X1, …, Xn be independent random variables with common distribution function F. Define equation image and let G(x) be one of the extreme‐value distributions. Assume F ∈ D(G), i.e., there exist an> 0 and bn ∈ ℝ such that equation image .Let l(−∞,x)(·) denote the indicator function of the set (−∞,x) and S(G) =: {x : 0 < G(x) < 1 ...
Yongcheng Qi, Liang Peng, Shihong Cheng
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Almost sure convergence of the Bartlett estimator
Periodica Mathematica Hungarica, 2005We study the almost sure convergence of the Bartlett estimator for the asymptotic variance of the sample mean of a stationary weekly dependent process. We also study the a.\ s.\ behavior of this estimator in the case of long-range dependent observations.
Shao, Qi-Man +3 more
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Almost sure convergence to the Quicksort process
Stochastic Processes and their Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost sure convergence of random gossip algorithms
2007 46th IEEE Conference on Decision and Control, 2007In this paper we provide a proof of almost sure convergence to consensus for an extremely general class of edge selection processes. The proof also applies to continuous time gossip algorithms.
PICCI, GIORGIO, TAYLOR T. J.
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On the convergence of bivariate order statistics: Almost sure convergence and convergence rate
Journal of Computational and Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anshui Li, Yuanyuan Wang, Minzhi Zhao
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Convergence: Almost Surely and in Probability
1996For nets of maps defined on a single, fixed probability space (Ω, A, P), convergence almost surely and in probability are frequently used modes of stochastic convergence, stronger than weak convergence. In this section we consider their nonmeasurable extensions together with the concept of almost uniform convergence, which is equivalent to outer almost
Aad W. van der Vaart, Jon A. Wellner
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2012
This chapter studies essentially Strong Laws of Large Numbers (SLLN) for associated variables and their applications to the characterization of asymptotics of statistical estimators under associated sampling. It is possible to prove SLLN under fairly general assumptions, but, in order to prove characterizations of convergence rates, a closer care on ...
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This chapter studies essentially Strong Laws of Large Numbers (SLLN) for associated variables and their applications to the characterization of asymptotics of statistical estimators under associated sampling. It is possible to prove SLLN under fairly general assumptions, but, in order to prove characterizations of convergence rates, a closer care on ...
openaire +1 more source