Results 61 to 70 of about 1,210 (131)
, 2016 In this paper, an almost sure central limit theorem is obtained for self-normalized weighted sums of the φ mixing random variables. Our results extend and give substantial improvement for the result obtained by Zhang [12] and our results also extend the ...
F. Feng, Dingcheng Wang, Qunying Wu
semanticscholar +1 more source
Convergence rate of extremes from Maxwell sample
, 2013 For the partial maximum from a sequence of independent and identically distributed random variables with Maxwell distribution, we establish the uniform convergence rate of its distribution to the extreme value distribution.MSC:62E20, 60E05, 60F15, 60G15.
Chuandi Liu, Baogen Liu
semanticscholar +1 more source
On the strong convergence and some inequalities for negatively superadditive dependent sequences
, 2013 In this paper, we study the Marcinkiewicz-type strong law of large numbers, Hajek-Renyi-type inequality and other inequalities for negatively superadditive dependent (NSD) sequences.
Yan Shen, Xuejun Wang, Shuhe Hu
semanticscholar +1 more source
On singular values distribution of a large auto-covariance matrix in the ultra-dimensional regime [PDF]
, 2015 Let ("t)t>0 be a sequence of independent real random vectors of p-dimension and let XT = P s+T t=s+1 "t" T s=T be the lag-s (s is a xed positive integer) auto- covariance matrix of "t.
Qinwen Wang, Jianfeng Yao
semanticscholar +1 more source
Limit theorems for random point measures generated by cooperative sequential adsorption
, 2006 We consider a finite sequence of random points in a finite domain of a finite-dimensional Euclidean space. The points are sequentially allocated in the domain according to a model of cooperative sequential adsorption. The main peculiarity of the model is
J. W. Evans +6 more
core +2 more sources
, 2013 Let {Xnk,un≤k≤vn,n≥1} and {Ank,un≤k≤vn,n≥1} be two arrays of random variables defined on the same probability space (Ω,A,P) and Bn be sub-σ-algebras of A. Let r>0 be a constant.
A. Shen, R. Wu, Yan Chen, Yu Zhou
semanticscholar +1 more source
Summation test for gap penalties and strong law of the local alignment score
, 2005 A summation test is proposed to determine admissible types of gap penalties for logarithmic growth of the local alignment score. We also define a converging sequence of log moment generating functions that provide the constants associated with the large ...
Chan, Hock Peng
core +1 more source
Strong law of large numbers for random variables with multidimensional indices
, 2018 Let {Xn, n ∈ V ⊂ N} be a two-dimensional random field of independent identically distributed random variables indexed by some subset V of lattice N. For some sets V the strong law of large numbers lim n→∞,n∈V ∑ k∈V,k¬n Xk |n| = μ a.s.
Agnieszka M. Gdula, A. Krajka
semanticscholar +1 more source
SOME FORMS FOR $ r^{th}$ MOVING MAXIMA OF ITERATED LOGARITHM LAW
, 2017 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
Journal of Inequalities and Applications, 2013 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 ...
Wenzhi Yang +3 more
semanticscholar +1 more source