Asymptotic distribution for products of sums under dependence
Asymptotic distribution, Products of sums, Linear positive quadrant dependence, Linear negative quadrant dependence, 60F05, 60F15,
Jian-Feng Wang, Yun-Xia Li
core +1 more source
Information Advantages in Hiring under a Budget Constraint: Weak Convergence Comparisons
AMS 1991 subject classifications. Primary 60G40, 60G70; secondary 60F05, 60F15, 60G35, 90B50.A Fulbright Grant and National Science Foundation Grant DMS 92 ...
Kertz, Robert P., Boshuizen, Frans A.
core +1 more source
Some small deviation theorems concerning moving average of stochastic sequence
We present some small deviation theorems (a.s. limit theorems expressed by inequalities) for moving averages of functions for nonhomogeneous Markov Chains and, as a corollary, we also obtain a small deviation theorem of Shannon-Mamillan-Breiman theorem ...
Hai-Ru Wang, Zhong-Zhi Wang
semanticscholar +1 more source
Strong law of large numbers for pairwise positive quadrant dependent random variables
Associated random variables, Markov chain, Positive quadrant dependence, Rate of convergence, Stochastic equicontinuity, 60F15,
Alessio Sancetta
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Small values and functional laws of the iterated logarithm for operator fractional Brownian motion
The multivariate Gaussian random fields with matrix-based scaling laws are widely used for inference in statistics and many applied areas. In such contexts, interests are often Hölder regularities of spatial surfaces in any given direction.
Wang Wensheng, Dong Jingshuang
doaj +1 more source
A law of the iterated logarithm for small counts in Karlin’s occupancy scheme
In the Karlin infinite occupancy scheme, balls are thrown independently into an infinite array of boxes $1,2,\dots $ , with probability ${p_{k}}$ of hitting the box k.
Alexander Iksanov, Valeriya Kotelnikova
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SOME FORMS FOR $ r^{th}$ MOVING MAXIMA OF ITERATED LOGARITHM LAW
Let ηr,n be a sequence of independent random variables, which is identically distributed and is defined over common probability space (Ω,F ,A) for a continuous distribution function F .
B. Almohaimeed
semanticscholar +1 more source
Complete moment convergence for randomly weighted sums of martingale differences
In this article, we obtain the complete moment convergence for randomly weighted sums of martingale differences. Our results generalize the corresponding ones for the nonweighted sums of martingale differences to the case of randomly weighted sums of ...
Wen-Zhi Yang +3 more
semanticscholar +1 more source
Strong convergence results for arrays of rowwise pairwise NQD random variables
Let {Xni,1≤i≤n,n≥1} be an array of rowwise pairwise NQD random variables. Some sufficient conditions of complete convergence for weighted sums of arrays of rowwise pairwise NQD random variables are presented without assumption of identical distribution ...
Xiao-Feng Tang
semanticscholar +1 more source
A note on complete convergence of weighted sums for array of rowwise AANA random variables
In this paper, we consider complete convergence and complete moment convergence of weighted sums for an array of rowwise AANA random variables. The main result of the paper generalizes the Baum-Katz theorem on AANA random variables.
Xing-Hui Wang, A. Shen, Xiao-Qin Li
semanticscholar +1 more source

