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[PDF] Top 20 Strong Laws for Weighted Sums of Negative Dependent Random Variables

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Strong Laws for Weighted Sums of Negative Dependent Random Variables

Strong Laws for Weighted Sums of Negative Dependent Random Variables

... Since the conception of PND sequences contains independent and negatively associated sequences, which have a lot of applications, e.g. in reliability theory, Percolation theory and multivariate statistical analysis, ... See full document

6

Strong laws of large numbers for weighted sums of random elements in normed linear spaces

Strong laws of large numbers for weighted sums of random elements in normed linear spaces

... STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF RANDOM ELEMENTS IN NORMED LINEAR SPACES ANDRE ADLER.. Department of Mathematics Illinois Institute of Technology Chicago, Illinois 60616[r] ... See full document

23

Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables

Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables

... the strong law of large numbers for general weighted sums of asymptotically almost negatively associated random variables (AANA, in short) with non-identical ...Marcinkiewicz ... See full document

11

On the Strong Laws for Weighted Sums of  Mixing Random Variables

On the Strong Laws for Weighted Sums of Mixing Random Variables

... the strong law of large numbers, Wu 4, 5, Peligrad and Gut 6, and Gan 7 have studied almost sure convergence, Utev and Peligrad 8 have established maximal inequalities and the invariance principle, An and Yuan 9 ... See full document

8

A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables

A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables

... a random sample are weighted sums of independent identically distributed ...of strong laws for these weighted sums have demonstrated significant progress in probability ... See full document

10

Strong convergence results for weighted sums of ρ˜ mixing random variables

Strong convergence results for weighted sums of ρ˜ mixing random variables

... on strong convergence rates in nonparametric ...Hardy-Littlewood strong law. Stat. Sin. 7, 923-928 (1997) 24. Cuzick, J: A strong law for weighted sums of ...Marcinkiewicz strong ... See full document

11

Complete moment convergence for weighted sums of negatively superadditive dependent random variables

Complete moment convergence for weighted sums of negatively superadditive dependent random variables

... NSD random variables with EX i r < ∞ for all i ≥  and some r > ...the strong limit theorems for NSD random ...NSD random variables and gave its applications to ... See full document

13

Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences

Chover-type laws of the k-iterated logarithm for weighted sums of strongly mixing sequences

... of strong mixing plays an important role in asymptotic the- ory, also because it has the relative advantage of being weaker than other types of mixing (see ...however, strong mixing poses some problems, ... See full document

14

The complete convergence for weighted sums of dependent random fields

The complete convergence for weighted sums of dependent random fields

... of negative association and showed that many of the well-known multivariate distributions possess the negatively associ- ated property, for example, multivariate hypergeometric distribution, negatively corre- ... See full document

8

Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub linear expectation

Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables under sub linear expectation

... distributed random variables with the condition of E(|X| ˆ +α ) < ...Kolmogorov’s strong law of large numbers for identically distributed and extended negatively dependent random ... See full document

14

The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables

The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables

... among random variables isn't ...some random variables are often related to decreases in other random variables and the assumption of negative dependence is more ... See full document

6

A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables

A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables

... negatively dependent random variables which was obtained by Asadian et ...the strong limit theorem for weighted sums of sequences of negatively dependent random ... See full document

8

Some convergence properties for weighted sums of pairwise NQD sequences

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 ...of negative dependence such as negative upper (lower) orthant dependence ... See full document

8

On the strong convergence for weighted sums of negatively superadditive dependent random variables

On the strong convergence for weighted sums of negatively superadditive dependent random variables

... some strong convergence results for weighted sums of negatively superadditive dependent random variables are studied without assumption of identical ... See full document

14

ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES

ON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES

... a strong law of large numbers (SLLN) for pairwise independent and strongly uniformly integrable ...for weighted sums of an array of rowwise negatively dependent ...negatively dependent ... See full document

5

The moment of maximum normed randomly weighted sums of martingale differences

The moment of maximum normed randomly weighted sums of martingale differences

... nonnegative random variable, we investigate the randomly weighted sums of martingale differences under some weakly ...ρ-mixing random variables to the case of randomly weighted ... See full document

13

Complete convergence for negatively orthant dependent random variables

Complete convergence for negatively orthant dependent random variables

... Obviously, every sequence of independent random variables is NOD. Joag-Dev and Proschan [] pointed out that NA implies NOD, neither being NUOD nor being NLOD implies being NA. They gave an example that ... See full document

12

Complete moment convergence for maximal partial sums under NOD setup

Complete moment convergence for maximal partial sums under NOD setup

... for random elements taking values in a Banach space, Wang and Zhao [] for NA random variables, Chen et ...NA random variables, Chen and Wang [] for ϕ ... See full document

12

Convergence of weighted sums of independent random variables and an extension to Banach space valued random variables

Convergence of weighted sums of independent random variables and an extension to Banach space valued random variables

... Weighted Sums, Strong Law of Large Numbers, Almost Se Convergence, Generzed Gaussian Random Variables, Random Elements in Banach Space, Schauder Basis.. AMS MOS SUBJECT CLASSIFICATION 19[r] ... See full document

15

On the weak law of large numbers for normed weighted sums of I I D  random variables

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

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