[PDF] Top 20 Strong stability of weighted sums of NA random variables
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Strong stability of weighted sums of NA random variables
... [8] C. M. Newman, Asymptotic independence and limit theorems for positively and negatively depen- dent random variables, Inequalities in Statistics and Probability (Lincoln, Neb., 1982) (Y. L. Tong, ed.), ... See full document
11
Complete convergence and complete moment convergence for weighted sums of m NA random variables
... The main purpose of this article is to discuss the complete convergence and the complete moment convergence for weighted sums of m-NA random variables. We shall extend The- orem B to ... See full document
14
A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
... Obviously, NA implies ND from the definition of NA and ...imply NA, so ND is much weaker than ...ND random variables, the notions of ND dependence of random variables have ... See full document
8
Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables
... contains NA (in particular, independent) sequences (with q(n) = , n ≥ ) and some more sequences of random variables which are not much devi- ated from being negatively ...about NA ... See full document
11
Complete convergence for Sung’s type weighted sums of END random variables
... END random vari- ables reduces to the well-known notion of so-called negatively dependent (ND) random variables, which was firstly introduced by Embrahimi and Ghosh []; some properties and limit ... See full document
11
The law of the iterated logarithm for LNQD sequences
... partial sums of an LNQD sequence, Wang and Wu [12] ob- tained the strong laws of large numbers for arrays of rowwise NA and LNQD random variables, Wang and Wu [13] established the ... See full document
17
A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables
... than NA. Because of the wide applications of ND random variables, the notions of ND random vari- ables have received more and more attention ...ND random variables have been ... See full document
10
Complete convergence of randomly weighted END sequences and its application
... END random variables, many researchers pay attention to the study of ...obtained strong law of large numbers of END sequence and gave some applications to the risk theory and renewal theory; Shen ... See full document
16
On the strong convergence for weighted sums of negatively superadditive dependent random variables
... of NA was given by Joag-Dev and Proschan [], and the concept of NSD was introduced by Hu [], which was based on the class of superadditive ...NSD random variables are not necessarily NA, and ... See full document
14
On the Strong Laws for Weighted Sums of Mixing Random Variables
... Remark 1.3. The proof of Theorem D was based on Theorem 1 of Chen et al. 16, which gave sufficient conditions about complete convergence for NA random variables. So far, it is not known whether the ... See full document
8
Strong convergence results for weighted sums of ρ˜ mixing random variables
... a random sample are weighted sums of independent and identically distributed random ...of strong laws for these weighted sums have demonstrated significant progress in ... See full document
11
On the complete convergence for weighted sums of a class of random variables
... Hsu-Robbins-Erdös’ strong law is a fundamental theorem in probability theory and has been intensively investigated in several directions by many authors in the past ...[] strong law of large ... See full document
12
Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
... partial sums and weighted sums of independent random variables such as Taylor [13], Hu et ...partial sums and weighted sums of negatively dependent and negatively ... See full document
6
Further study of complete convergence for weighted sums of PNQD random variables
... the strong law of large numbers; Wang et ...the strong convergence properties of Jamison weighted sums, the three series theorem and complete convergence theorem; and Li and Wang [] ob- ... See full document
7
On the weak law of large numbers for normed weighted sums of I I D random variables
... Weighted sums of independent and identically distributed random variables, weak law of large numbers, convergence in probability, random indices, strong law of large numbers, almost cert[r] ... See full document
12
Stability for randomly weighted sums of random elements
... A random element is defined to be an F-measurable mapping of Ω into B with the Borel σ ...independent random elements is a direct extension of the concept of independent random ...of random ... See full document
10
Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences
... This note contains a Chover-type Law of the k -Iterated Logarithm for weighted sums of strong mixing sequences of random variables with a distribution in the domain of a stable law. We ... See full document
14
Some convergence properties for weighted sums of pairwise NQD sequences
... NQD random variables is a family of very wide scope, which contains a pairwise independent random variable ...(NOD) random variables as special ...study strong convergence ... See full document
8
Strong Laws for Weighted Sums of Negative Dependent Random Variables
... By letting ϖ → ∞ , the proof of Case 2 is completed. ND random variables will lose the property of negative dependence after we truncate them by usual indicators. Only monotone functions preserve the ... See full document
6
Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables
... Marcinkiewicz strong law of large numbers for independent sequences of random variables to ρ-mixing sequences of random variables without necessarily adding any extra ... See full document
10
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