[PDF] Top 20 Some strong limit theorems for arrays of rowwise negatively orthant dependent random variables
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Some strong limit theorems for arrays of rowwise negatively orthant dependent random variables
... the strong law of large numbers for sequences of ran- dom variables to the case of triangular array of random variables and arrays of rowwise random ...the strong ... See full document
10
Strong convergence results for arrays of rowwise pairwise NQD random variables
... NQD random variables is a family of very wide scope, which contains a pairwise independent random variable sequence and a negatively orthant dependent (NOD) ran- dom variable ... See full document
8
On complete moment convergence for arrays of rowwise pairwise negatively quadrant dependent random variables
... NQD random sequences have been studied in many ...Kolmogorov-type strong law of large numbers, Jabbari [5] for the almost sure limit theorems for weighted sums of pairwise NQD random ... See full document
14
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... ND random variables, the notions of ND random variables have received more and more attention ...the limit properties of independent variables to the case of ND variables ... See full document
10
A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables
... dom variables and arrays of rowwise ND random variables under the exponential moment conditions ...the limit behavior of ND random variables and obtain some ... See full document
10
Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables
... A considerably simpler proof of the limit law (1.1) was obtained by Dharmadhikari [4] who did not refer to the Pyke and Root [12] article. Chandra [3] established the following more general result for mean ... See full document
14
Some limit theorems for weighted negative quadrant dependent random variables with infinite mean
... (negatively orthant dependent) and LNQD (linearly negative quadrant dependent), it is a more general dependence ...of random variables is said to be NA if ... See full document
11
On the convergence rates of kernel estimator and hazard estimator for widely dependent samples
... from strong mixing and negatively associated random vari- ables, widely orthant dependence random variables (defined below) were introduced by Wang and Cheng ([6], ...widely ... See full document
10
The law of the iterated logarithm for LNQD sequences
... the strong laws of large numbers for arrays of rowwise NA and LNQD random variables, Wang and Wu [13] established the central limit theorem for stationary linear processes ... See full document
17
Some strong convergence properties for arrays of rowwise ANA random variables
... paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random variables are ... See full document
16
A note on the complete convergence for weighted sums of negatively dependent random variables
... convergence theorems for weighted sums of arrays of rowwise negatively dependent random variables were obtained by Wu (Wu, Q: Complete convergence for weighted sums of ... See full document
10
On the complete convergence for arrays of rowwise ψ mixing random variables
... Clearly, from the definition above, we know that the independence implies ψ -mixture and ϕ-mixture. It is easily seen that the ψ-mixing condition is stronger than the ϕ-mixing. Therefore, the family of ψ -mixing is a ... See full document
9
On the strong convergence for weighted sums of negatively superadditive dependent random variables
... NSD random variables. Some complete convergence re- sults for the maximum weighted sums of NSD random variables are obtained without the assumption of an identical ...type strong ... See full document
14
The inverse moment for widely orthant dependent random variables
... tor, n ≥ . Then Joag-Dev and Proschan [] proved that it is NA if and only if its com- ponents are nonpositively correlated. Joag-Dev and Proschan [] also pointed out that NA random variables are NOD ... See full document
11
On the strong law for arrays and for the bootstrap mean and variance
... Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions.. An interesting application of these results is t[r] ... See full document
8
On the complete convergence for weighted sums of a class of random variables
... It is well known that the analysis of weighted sums plays an important role in the statis- tics, such as jackknife estimate, nonparametric regression function estimate and so on. Many authors considered the complete ... See full document
12
Complete Convergence for Negatively Dependent Sequences of Random Variables
... The author is grateful to the referees and the editors for their valuable comments and some helpful suggestions that improved the clarity and readability of the paper. This work was supported by the National ... See full document
10
Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables
... correlated random variables,” Proceedings of the American Mathematical Society, ...mixing random variables and weak convergence of set-indexed processes,” The Annals of Probability, ...of ... See full document
10
Some limit theorems for ratios of order statistics from uniform random variables
... useful tools in different areas of probability theory, statistics, statistical physics, insurance mathematics, and other applied fields. For the heavy tailed random variables, the main stream of research has ... See full document
18
A note on the complete convergence for arrays of dependent random variables
... for negatively associated and negatively dependent ran- dom variables and then they proved the case of mean zero by using these ...of negatively associated mean zero, an additional ... See full document
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