Results 11 to 20 of about 1,018 (114)
Journal of the London Mathematical Society, Volume 103, Issue 4, Page 1618-1642, June 2021., 2021 Abstract We consider partial sums of a weighted Steinhaus random multiplicative function and view this as a model for the Riemann zeta function. We give a description of the tails and high moments of this object. Using these we determine the likely maximum of TlogT independently sampled copies of our sum and find that this is in agreement with a ...
Marco Aymone, Winston Heap, Jing Zhao
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On Chung‐Teicher type strong law for arrays of vector‐valued random variables
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 443-458, 2004., 2004 We study the equivalence between the weak and strong laws of large numbers for arrays of row‐wise independent random elements with values in a Banach space ℬ. The conditions under which this equivalence holds are of the Chung or Chung‐Teicher types.
Anna Kuczmaszewska
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Complete convergence for arrays of minimal order statistics
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 44, Page 2325-2329, 2004., 2004 For arrays of independent Pareto random variables, this paper establishes complete convergence for weighted partial sums for the smaller order statistics within each row. This result improves on past strong laws. Moreover, it shows that we can obtain a finite nonzero limit for our normalized partial sums under complete convergence even though the first
André Adler
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On the order of growth of convergent series of independent random variables
International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 159-168, 2004., 2004 For independent random variables, the order of growth of the convergent series Sn is studied in this paper. More specifically, if the series Sn converges almost surely to a random variable, the tail series is a well‐defined sequence of random variables and converges to 0 almost surely.
Eunwoo Nam
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Complete convergence for weighted sums of pairwise independent random variables
Open Mathematics, 2017 In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Ge Li, Liu Sanyang, Miao Yu
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A survey of limit laws for bootstrapped sums
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2835-2861, 2003., 2003 Concentrating mainly on independent and identically distributed (i.i.d.) real‐valued parent sequences, we give an overview of first‐order limit theorems available for bootstrapped sample sums for Efron′s bootstrap. As a light unifying theme, we expose by elementary means the relationship between corresponding conditional and unconditional bootstrap ...
Sándor Csörgő, Andrew Rosalsky
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Complete convergence for negatively dependent random variables
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 121-126, 2003., 2003 In this paper, we study the complete convergence for the means 1n∑i=1nXi and 1nα∑k=1nXnk via. exponential bounds, where α > 0 and {Xn, n ≥ 1} is a sequence of negatively dependent random variables and {Xnk, 1 ≤ k ≤ n, n ≥ 1} is an array of rowwise pairwise negatively dependent random variables.
M. Amini D., A. Bozorgnia
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Almost sure central limit theorems for strongly mixing and associated random variables
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 125-131, 2002., 2002 We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rate α(n) = O((loglogn)−1−δ). We also show that ASCLT holds for an associated sequence of random variables without a stationarity assumption.
Khurelbaatar Gonchigdanzan
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Various limit theorems for ratios from the uniform distribution
Open Mathematics, 2016 In this paper, we consider the ratios of order statistics in samples from uniform distribution and establish strong and weak laws for these ratios.
Miao Yu, Sun Yan, Wang Rujun, Dong Manru
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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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