Results 21 to 30 of about 137 (132)
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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On the rate of convergence of bootstrapped means in a Banach space
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 10, Page 629-635, 2001., 2001 We establish the complete convergence for arrays of Banach space valued random elements. This result is applied to bootstrapped means of random elements to obtain their strong consistency and is derived in the spirit of Baum‐Katz/Hsu‐Robbins/Spitzer type convergence.
S. Ejaz Ahmed +2 more
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On complete convergence for Lp‐mixingales
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 737-747, 2000., 2000 We provide in this paper sufficient conditions for the complete convergence for the partial sums and the random selected partial sums of B‐valued Lp‐mixingales.
Yijun Hu
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On conditions for the strong law of large numbers in general Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 29-42, 2000., 2000 We give Chung‐Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.
Anna Kuczmaszewska, Dominik Szynal
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Complete convergence for sums of arrays of random elements
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 11, Page 789-794, 2000., 2000 Let {Xni} be an array of rowwise independent B‐valued random elements and {an} constants such that 0 < an↑∞. Under some moment conditions for the array, it is shown that ∑i=1nXni/an converges to 0 completely if and only if ∑i=1nXni/an converges to 0 in probability.
Soo Hak Sung
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On the law of large numbers for the bootstrap mean [PDF]
, 1992 Direct and elementary proofs are given for weak and strong laws of large numbers for bootstrap sample means under minimal moment conditions. Concerning the required rate of divergence of the bootstrap sample size, the strong laws obtained improve on ...
Csorgo, Sandor
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Largest nearest-neighbour link and connectivity threshold in a polytopal random sample [PDF]
, 2023 A preprint version of the article is available at arXiv:2301.02506v1 [math.PR], https://arxiv.org/abs/2301.02506.. It has not been certified by peer-review.A CC BY or equivalent licence is applied to the AAM arising from this submission, in accordance ...
Penrose, MD, Higgs, F, Yang, X
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International Journal of Stochastic Analysis, Volume 13, Issue 3, Page 261-267, 2000., 2000 Let X1, …, Xn be negatively dependent uniformly bounded random variables with d.f. F(x). In this paper we obtain bounds for the probabilities P(|∑i=1nXi|≥nt) and P(|ξˆpn−ξp|>ϵ) where ξˆpn is the sample pth quantile and ξp is the pth quantile of F(x). Moreover, we show that ξˆpn is a strongly consistent estimator of ξp under mild restrictions on F(x) in
M. Amini, A. Bozorgnia
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