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[PDF] Top 20 The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables

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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

... Lemma 3. Suppose that X 1 , , " X n , " are identically random variables with E X ( 1 ) 0 = and E X ( 1 p ) < ∞ for some p ∈ (0, 2) that satisfying in Marcinkiewicz and Zygmund’s theorem. Assume ... See full document

6

On the almost sure convergence of weighted sums of random elements in D[0,1]

On the almost sure convergence of weighted sums of random elements in D[0,1]

... Taylor 1979 in that not only is convergence in the Skorohod topology replaced by convergence in the uniform norm but the restrictive condition of convex tightness is replaced by property[r] ... See full document

8

Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences

Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences

... gence, almost sure convergence and complete convergence rate of weighted sums for AANA random variable ...complete convergence rates which ex- tends theorem B and ... See full document

9

On the complete convergence for weighted sums of a class of random variables

On the complete convergence for weighted sums of a class of random variables

... of weighted sums plays an important role in the statis- tics, such as jackknife estimate, nonparametric regression function estimate and so ...complete convergence of the weight sums of ... See full document

12

A note on convergence of weighted sums of random variables

A note on convergence of weighted sums of random variables

... Jamison, Orey and Pruitt [4] studied almost sure convergence of weighted sums under the assumption that the sequence Xn, n is independently identically distributed with.. One of the obje[r] ... 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

... complete convergence of random variables is a very important tool in establishing almost sure ...complete convergence for normed sums of random variables ... See full document

14

Strong convergence properties for ψ mixing random variables

Strong convergence properties for ψ mixing random variables

... -mixing random variables was introduced by Blum et ...for almost sure convergence of weighted sums, Wu [] for strong consistency of M estimator in linear model, ... See full document

14

On the Strong Laws for Weighted Sums of  Mixing Random Variables

On the Strong Laws for Weighted Sums of Mixing Random Variables

... studied almost sure convergence, Utev and Peligrad 8 have established maximal inequalities and the invariance principle, An and Yuan 9 have considered the complete convergence and ... See full document

8

On Complete Convergence for Weighted Sums of  Mixing Random Variables

On Complete Convergence for Weighted Sums of Mixing Random Variables

... weak convergence of empirical processes, Shao 8 for almost sure invariance principles, Hu and Wang 9 for large deviations, and so ...independent random variable sequences, there still remains ... See full document

13

Complete moment convergence for product sums of sequence of extended negatively dependent random variables

Complete moment convergence for product sums of sequence of extended negatively dependent random variables

... Moreover, they proved that the sequence of arithmetic means of independent identically distribution (i.i.d.) random variables converges completely to the expected value if the variance of the summands is ... See full document

15

A note on complete convergence of weighted sums for array of rowwise AANA random variables

A note on complete convergence of weighted sums for array of rowwise AANA random variables

... AANA random variables contains NA (in particular, independent) random variables (with q(n) = , n ≥ ) and some more kinds of random variables which are not much deviated from ... See full document

13

The moment of maximum normed randomly weighted sums of martingale differences

The moment of maximum normed randomly weighted sums of martingale differences

... randomly weighted sums have been an attractive research topic in the literature of applied ...the almost sure and complete convergence of randomly weighted sums of ... See full document

13

Strong convergence results for arrays of rowwise pairwise NQD random variables

Strong convergence results for arrays of rowwise pairwise NQD random variables

... complete convergence for weighted sums of arrays of rowwise pairwise NQD random variables are presented without assumption of identical ...independent random variables and ... 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

... for weighted sums of sequences of negatively dependent random variables is further ...complete convergence theorem for sequences of negatively dependent ... See full document

10

The complete convergence for weighted sums of dependent random fields

The complete convergence for weighted sums of dependent random fields

... in linear models, the nonparametric regression estimators (see Priestley and Chao []) ...complete convergence for the weighted sums is very important and ... 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 ...the negatively associ- ated class is the most important and special case of a ... See full document

8

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

... ND random variables, the notions of ND dependence of random variables have received more and more attention ...NA random variables to the case of ND variables is highly ... See full document

8

A note on the complete convergence for weighted sums of negatively dependent random variables

A note on the complete convergence for weighted sums of negatively dependent random variables

... In (.), a ≈ b means that a = O(b) and b = O(a). Theorem . extends the result of Liang and Su [] for negatively associated random variables to negatively dependent case. The proof ... See full document

10

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 > ...random variables. Wang et al. [] inves- tigated the complete convergence for arrays of rowwise NSD ... See full document

13

Complete convergence for negatively orthant dependent random variables

Complete convergence for negatively orthant dependent random variables

... complete convergence are obtained for the maximum partial sums of negatively orthant dependent (NOD) random ...for negatively associated (NA) random ... See full document

12

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