Results 21 to 30 of about 137 (132)
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
doaj +1 more source
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
wiley +1 more source
Complete convergence for arrays of ratios of order statistics
Open Mathematics, 2019 Let {Xn,k, 1 ≤ k ≤ mn, n ≥ 1} be an array of independent random variables from the Pareto distribution. Let Xn(k) be the kth largest order statistic from the nth row of the array and set Rn,in,jn = Xn(jn)/Xn(in) where jn < in. The aim of this paper is to
Miao Yu +3 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
wiley +1 more source
One sided strong laws for random variables with infinite mean
Open Mathematics, 2017 This paper establishes conditions that secure the almost sure upper and lower bounds for a particular normalized weighted sum of independent nonnegative random variables.
Adler André
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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
wiley +1 more source
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
wiley +1 more source
A new approach to series of independent random variables [PDF]
Equivalence lemma, independent random variables, series, three series theorem, 60F15,
Ricardo Vélez
core +1 more source
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
core +1 more source
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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