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[PDF] Top 20 Almost Sure Central Limit Theorem for Product of Partial Sums of Strongly Mixing Random Variables

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Almost Sure Central Limit Theorem for Product of Partial Sums of Strongly Mixing Random Variables

Almost Sure Central Limit Theorem for Product of Partial Sums of Strongly Mixing Random Variables

... Jin, “An almost sure central limit theorem for the product of partial sums of strongly missing random variables,” Journal of Zhejiang University, vol.. Csáki, “A universal result in alm[r] ... See full document

9

A note on the almost sure central limit theorem for the product of some partial sums

A note on the almost sure central limit theorem for the product of some partial sums

... The almost sure central limit theorem (ASCLT) has been first introduced independently by Schatte [] and Brosamler ...function-typed almost sure central limit ... See full document

11

Almost sure central limit theorem for self normalized products of the some partial sums of \(\rho^{ }\) mixing sequences

Almost sure central limit theorem for self normalized products of the some partial sums of \(\rho^{ }\) mixing sequences

... -mixing random variables was introduced initially by Zhang and Wang [5] in ...-mixing random variables include NA and ρ ∗ -mixing random variables, which ... See full document

14

Almost sure central limit theorem for products of sums of partial sums

Almost sure central limit theorem for products of sums of partial sums

... positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.. MSC: 60F[r] ... See full document

12

An improved result in almost sure central limit theorem for self normalized products of partial sums

An improved result in almost sure central limit theorem for self normalized products of partial sums

... (x) is the standard normal distribution function. Some ASCLT results for partial sums were obtained by Lacey and Philipp [], Ibragimov and Lifshits [], Miao [], Berkes and Csáki [], Hörmann [], Wu ... See full document

12

An almost sure central limit theorem of products of partial sums for ρ  mixing sequences

An almost sure central limit theorem of products of partial sums for ρ mixing sequences

... -mixing random variables include NA and r*-mixing random variables, which have a lot of applications, their limit properties have aroused wide interest recently, and a lot ... See full document

13

On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables

On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables

... We first prove that (.) holds under condition (.). Note that E|X| p < ∞ for all  < p <  since X belongs to the domain of attraction of the normal law. For our purpose, we fix / < p < . By the ... See full document

15

A generalization of almost sure local limit theorem of uniform empirical process

A generalization of almost sure local limit theorem of uniform empirical process

... the almost sure limit theorem for product of partial sums, stable distribution and product of sums of partial sums, ...the almost ... See full document

8

Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences

Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences

... of random variables from i.i.d. random variables to ρ – -mixing sequences and Ye and Wu [13] extended ...i.i.d. random variables to strongly mixing ... See full document

12

The almost sure local central limit theorem for products of partial sums under negative association

The almost sure local central limit theorem for products of partial sums under negative association

... The almost sure central limit theorem was proposed by Brosamler [11] and Schatte ...associated random variables, we refer to Matuła [13], Lin [14], Zhang et ... See full document

16

A Note on Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Sums

A Note on Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Sums

... dependent random variables, Peligrad and Shao 7 and Dudzi ´nski 8 derived some corresponding results about ...The almost sure central limit theorem in the joint version ... See full document

7

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

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

... limit theorem, Bryc and Smolenski [], Peligrad and Gut [], and Utev and Peligrad [] for moment inequalities, Gan [], Kuczmaszewska [], Wu and Jiang [] and Wang et ...for almost sure ... See full document

11

A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences

A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences

... The almost sure central limit theorem (ASCLT) has served as a basis for a large group of investigations of fundamental significance both in the theory of probability and in its nu- ... See full document

15

A Note on the Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Partial Sums of Certain Stationary Gaussian Sequences

A Note on the Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Partial Sums of Certain Stationary Gaussian Sequences

... Gaussian random variables, a universal result in the almost sure central limit theorem for maxima and partial sum is ...the almost sure central ... See full document

11

Some Strong Limit Theorems for Weighted Product Sums of  Mixing Sequences of Random Variables

Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables

... for almost sure convergence of weakly correlated random variables,” Proceedings of the American Mathematical Society, ...set-indexed sums of mixing random variables ... See full document

10

KERNEL REGRESSION FOR RHO-MIXING OBSERVATIONS

KERNEL REGRESSION FOR RHO-MIXING OBSERVATIONS

... the central limit theorem, Bryc and Smolenski (1993) for moment inequalities and almost sure convergence, Peligrad and Gut (1999) for almost sure results for a class of ... See full document

9

A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ− Mixing Sequences

A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ− Mixing Sequences

... -mixing random va- riables, which have a lot of applications. Their limit properties have received more and more attention recently, and a number of results have been obtained, such as Zhang and Wang ... See full document

7

Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences

Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences

... the almost sure central limit theorem (ASCLT) dealing mostly with partial sums of random ...for partial sums were obtained by Ibragimov and Lifshits ... See full document

15

Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence

Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence

... of almost sure version was extended to different ...this almost sure convergence for partial sums to the case of maxima of ... See full document

10

Almost sure central limit theorems for strongly mixing and associated random variables

Almost sure central limit theorems for strongly mixing and associated random variables

... an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rate α(n) = O((log logn) − 1 ... See full document

7

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