Complete Convergence
Complete convergence and complete moment convergence for a class of random variables
... the complete convergence and complete moment convergence and obtain the equivalence of the complete convergence and complete moment convergence for the class of ...
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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 ...
14
Complete convergence of randomly weighted END sequences and its application
... the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random ...of complete moment convergence, complete convergence and the strong ...
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Theorems of complete convergence and complete integral convergence for END random variables under sub linear expectations
... build complete convergence and complete integral convergence for END sequences of random variables under sub-linear expectation ...some complete convergence and complete ...
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The Complete Convergence of Exchangeable Random Variables
... of complete convergence in 1947, many scholars have done a series of research on the complete convergence for independent and identically distributed, results have been studied very perfect ...
5
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] ...
10
On complete convergence for Lp mixingales
... the complete convergence for the partial sums and the random selected partial sums of B-valued L p ...phrases. Complete convergence, p-smooth Banach space, L p ...
11
Complete convergence for B valued Lp mixingale sequences
... discussed the complete convergence for B-valued independent random elements.Yu[ll] ha co,sidered the complete convergence for martingale difference sequences, PeligradI7 and Shao[S} have[r] ...
6
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 weighted sums of sequences ...
10
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] ...
11
Complete Convergence for Negatively Dependent Sequences of Random Variables
... Complete convergence is one of the most important problems in probability ...the complete convergence can be found in Wu 11, 12 and Sung 13, ...the complete convergence for ...
10
On the complete convergence for weighted sums of a class of random variables
... the complete convergence of the weight sums of random vari- ...sure convergence of weighted sums of ...obtained complete convergence of weighted sums without the iden- tically ...
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A note on the complete convergence for arrays of dependent random variables
... A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et ...obtain complete extended versions of Kruglov et ...
8
The complete convergence for weighted sums of dependent random fields
... estimators (see Kafles and Bhaskara Rao []) and M-estimates (see Rao and Zhao []) in linear models, the nonparametric regression estimators (see Priestley and Chao []) etc. So, the study of the complete ...
8
Complete convergence for negatively orthant dependent random variables
... In this paper, necessary and sufficient conditions of the complete convergence are obtained for the maximum partial sums of negatively orthant dependent (NOD) random variables. The results extend and improve ...
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Complete convergence and complete moment convergence for weighted sums of m NA random variables
... the convergence properties of this wider m- NA ...the convergence properties for sequences of m-NA random ...the complete convergence for weighted sums of identically distributed NA random ...
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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 convergence, which ...
13
On complete convergence and complete moment convergence for weighted sums of \(\rho^{*}\) mixing random variables
... A number of limit results for ρ ∗ -mixing sequences of random variables have been es- tablished by many authors. We refer to Bradley [3] for the central limit theorem, Bryc and Smolenski [4], Peligrad and Gut [5], and ...
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Complete convergence and complete moment convergence for negatively associated sequences of random variables
... of complete convergence of a sequence of random variables was introduced by Hsu and Robbins ( ...lemma, complete conver- gence implies almost sure ...the complete moment ...
10
Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence
... We shall study the complete convergence and complete moment convergence for ran- domly weighted sums of martingale difference sequence. The paper is organized as fol- lows. The next section is ...
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