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[PDF] Top 20 Complete convergence for sums of arrays of random elements

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Complete convergence for sums of arrays of random elements

Complete convergence for sums of arrays of random elements

... B-valued random elements under the assump- tion that the weak law of large numbers (WLLN) holds (see, Kuelbs and Zinn [8], de Acosta [4], Choi and Sung [1, 2], Wang, Rao and Yang [10], Kuczmaszewska and ... See full document

6

A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables

A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables

... (ND) random variables which obtained by Asadian et al., the complete convergence theorem for weighted sums of arrays of rowwise ND random variables is ...the complete ... See full document

10

Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables

Complete convergence for weighted sums of arrays of rowwise ρ˜ mixing random variables

... (i.i.d.) random variables converges completely to the expected value if the variance of the summands is ...provide complete convergence for weighted sums of arrays of rowwise ρ-mixing ... See full document

14

Complete convergence for weighted sums of arrays of random elements

Complete convergence for weighted sums of arrays of random elements

... In this section the complete convergence of weighted sums will be established for random elements in a Banach space which has a Schauder basis... Since the con-.[r] ... See full document

11

On complete convergence for weighted sums of martingale difference random fields

On complete convergence for weighted sums of martingale difference random fields

... concerning complete convergence for martingale arrays obtained in the one-dimensional case, we refer to Lagodowski and Rychlik [], Elton [], Lesigne and Volny [], Stoica [] and Ghosal and ... See full document

7

Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

... strong convergence for weighted sums of arrays of ANA random variables without assumption of identical distribution and obtain some im- proved results ...so-called complete moment ... 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

... the complete convergence for weighted sums of arrays of rowwise pairwise NQD random variables under some moment ...for complete convergence for an array of rowwise ... See full document

8

Complete Moment Convergence of Weighted Sums for Arrays of Rowwise  Mixing Random Variables

Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Mixing Random Variables

... the complete moment convergence of moving average processes based on a ϕ-mixing random sequence with different ...the complete convergence to the complete moment ... See full document

14

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

... The complete convergence theorems for weighted sums of arrays of rowwise negatively dependent random variables were obtained by Wu (Wu, Q: Complete convergence for ... See full document

10

Complete convergence for Sung’s type weighted sums of END random variables

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 results can ... See full document

11

On Complete Convergence for Arrays of Rowwise  Mixing Random Variables and Its Applications

On Complete Convergence for Arrays of Rowwise Mixing Random Variables and Its Applications

... For arrays of rowwise independent random variables, complete convergence has been extensively investigated see, ...Recently, complete convergence for arrays of rowwise ... See full document

12

Some strong convergence properties for arrays of rowwise ANA random variables

Some strong convergence properties for arrays of rowwise ANA random variables

... Hence, from (.), one can clearly know that the complete moment convergence im- plies the complete convergence. Compared with the corresponding results of Gan and Chen [] and Zhu [], it ... See full document

16

A note on the complete convergence for arrays of dependent random variables

A note on the complete convergence for arrays of dependent random variables

... following complete convergence theorem for arrays of rowwise independent random variables {X ni , 1 ≤ i ≤ k n , n ≥ 1}, where {k n , n ≥ 1 } is a sequence of positive ... See full document

8

Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables

Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables

... the complete convergence for partial sums and weighted sums of independent random variables such as Taylor [13], Hu et ...this convergence to partial sums and weighted ... See full document

6

Complete convergence of randomly weighted END sequences and its application

Complete convergence of randomly weighted END sequences and its application

... the complete convergence of partial sums of randomly weighted END ...of complete moment convergence, complete convergence and strong law of large numbers for this ... See full document

16

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

... convergence of weighted sums for an array of rowwise AANA random variables. The main result of the paper generalizes the Baum-Katz theorem on AANA random variables. Our results extend and ... See full document

13

Further study of complete convergence for weighted sums of PNQD random variables

Further study of complete convergence for weighted sums of PNQD random variables

... P(X > x, Y > y) ≤ P(X > x)P(Y > y) (.) for all x, y ∈ R are equivalent. Obviously, if f and g are Borel functions both of which are monotone increasing (or both are monotone decreasing), then f (X) and g(Y ... See full document

7

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

... For complete convergence and complete mo- ment convergence, there are few reports under sub-linear ...the complete convergence and complete moment convergence under ... See full document

14

A generalization of the global limit theorems of R  P  Agnew

A generalization of the global limit theorems of R P Agnew

... convergence, complete convergence, almost everywhere convergence, uniform convergence, sums of independent random variables, central limit theorem, Liapounov condition... 1980 AMS SUBJEC[r] ... See full document

10

On complete convergence for randomly indexed sums for a case without identical distributions

On complete convergence for randomly indexed sums for a case without identical distributions

... In this note we extend the complete convergence for randomly indexed sums given by Klesov 1989 to nonidentical distributed random variables... KEY WORDS AND PHRASES: complete convergence[r] ... See full document

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