Results 31 to 40 of about 311 (133)
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
doaj +1 more source
Complete convergence for Sung’s type weighted sums of END random variables
, 2014 In this paper, the author studies the complete convergence results for Sung’s type weighted sums of sequences of END random variables and obtains some new results. These results extend and improve the corresponding theorems of Sung (Discrete Dyn.
Guo-Hui Zhang
semanticscholar +1 more source
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
doaj +1 more source
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
, 2013 In the paper, we study the strong law of large numbers for general weighted sums of asymptotically almost negatively associated random variables (AANA, in short) with non-identical distribution.
Xiao-Feng Tang
semanticscholar +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
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
doaj +1 more source
A class of small deviation theorems for the random fields on an m rooted Cayley tree
, 2012 In this paper, we are to establish a class of strong deviation theorems for the random fields relative to m th-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree.
Zhi-Yan Shi +3 more
semanticscholar +1 more source