Results 21 to 30 of about 2,873 (97)
Open Mathematics, 2017 Our goal is to state and prove the almost sure central limit theorem for maxima (Mn) of X1, X2, ..., Xn, n ∈ ℕ, where (Xi) forms a stochastic process of identically distributed r.v.’s of the continuous type, such that, for any fixed n, the family of r.v.’
Dudziński Marcin, Furmańczyk Konrad
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The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk [PDF]
, 2009 We identify the limit of the internal DLA cluster generated by Sinai's walk as the law of a functional of a Brownian motion which turns out to be a new interpretation of the Arcsine law.Comment: 10 pages, 1 ...
Enriquez, N., Lucas, C., Simenhaus, F.
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A weak convergence approach to hybrid LQG problems with infinite control weights
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 1-21, 2002., 2002 This work is concerned with a class of hybrid LQG (linear quadratic Gaussian) regulator problems modulated by continuous‐time Markov chains. In contrast to the traditional LQG models, the systems have both continuous dynamics and discrete events. In lieu of a model with constant coefficients, these coefficients vary with time and exhibit piecewise ...
G. George Yin, Jiongmin Yong
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International Journal of Stochastic Analysis, Volume 14, Issue 1, Page 27-46, 2001., 2001 This paper establishes the rate of convergence (in the uniform Kolmogorov distance) for normalized additive functionals of stochastic processes with long‐range dependence to a limiting Rosenblatt distribution.
N. N. Leonenko, V. V. Anh
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On the approximation of an integral by a sum of random variables
International Journal of Stochastic Analysis, Volume 11, Issue 2, Page 107-114, 1998., 1997 We approximate the integral of a smooth function on [0, 1], where values are only known at n random points (i.e., a random sample from the uniform‐(0, 1) distribution), and at 0 and 1. Our approximations are based on the trapezoidal rule and Simpson′s rule (generalized to the non‐equidistant case), respectively.
John H. J. Einmahl +1 more
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Lifetime Distributions and their Approximation in Reliability of Serial/Parallel Networks
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper we present limit theorems for lifetime distributions connected with network’s reliability as distributions of random variables(r.v.) min(Y1, Y2,..., YM) and max(Y1, Y2,..., YM ), where Y1, Y2,..., are independent, identically distributed ...
Leahu Alexei +1 more
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International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 443-450, 1997., 1996 The convergence in mean of a weighted sum ∑kank(Xk − EXk) of random elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {ank}‐compactly uniform integrability of {Xn}.
M. Ordóñez Cabrera
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International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 441-450, 1996., 1995 In this paper a uniform estimate is obtained for the remainder term in the central limit theorem (CLT) for a sequence of random vectors forming a homogeneous Markov chain with arbitrary set of states. The result makes it possible to estimate the rate of convergence in the CLT without assuming the finiteness of the absolute third moment of the ...
M. Gharib
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Nonparametric density estimators based on nonstationary absolutely regular random sequences
International Journal of Stochastic Analysis, Volume 9, Issue 3, Page 233-254, 1996., 1995 In this paper, the central limit theorems for the density estimator and for the integrated square error are proved for the case when the underlying sequence of random variables is nonstationary. Applications to Markov processes and ARMA processes are provided.
Michel Harel, Madan L. Puri
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On Feller′s criterion for the law of the iterated logarithm
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 323-340, 1994., 1993 Combining Feller′s criterion with a non‐uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with
Deli Li, M. Bhaskara Rao, Xiangchen Wang
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