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[PDF] Top 20 Limit theorems for delayed sums of random sequence

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Limit theorems for delayed sums of random sequence

Limit theorems for delayed sums of random sequence

... deviation theorems (limit theorem expressed by inequalities, see [5]) of delayed average for the dependent absolutely con- tinuous random ...asymptotic delayed log-likelihood ratio, we ... See full document

8

Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences

Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences

... strong limit theorems for stochastic sequences, which generalized results by Freedman 9, Isaac, 10 and Petrov ...strong limit theorem for stochastic sequence in ...strong limit theorem ... See full document

11

A note on the almost sure central limit theorems for the maxima and sums

A note on the almost sure central limit theorems for the maxima and sums

... dependent random variables, Peligrad and Shao [] and Dudziński [] derived some corresponding results about ...central limit theorem in the joint version for log-average of maxima and partial sums ... See full document

8

Central limit theorems for the spectra of classes of random fractals

Central limit theorems for the spectra of classes of random fractals

... a sequence of intervals of decreasing length ...of random fractal strings can be found in [24] where it is shown that for Cantor sets constructed via random iterated function systems, the second ... See full document

42

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

... 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 of negatively ... See full document

10

Probability inequality concerning a chirp type signal

Probability inequality concerning a chirp type signal

... Abstract Probability inequalities of random variables play important roles, especially in the theory of limiting theorems of sums of independent random variables... Perera Journal of Ine[r] ... 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

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

8

Bounds for the approximation of Poisson binomial distribution by Poisson distribution

Bounds for the approximation of Poisson binomial distribution by Poisson distribution

... of limit theorems. The proofs of theorems in this paper by the operator method are very elementary and ...the sums of the discrete independent random variables like Poisson- binomial, ... See full document

10

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

... a sequence of ANA random variables is NA if and only if ρ – () = ...ANA random variables include ρ-mixing and NA random ˜ ...the limit convergence properties for ANA random ... See full document

13

Almost Sure Convergence for the Maximum and the Sum of Nonstationary Guassian Sequences

Almost Sure Convergence for the Maximum and the Sum of Nonstationary Guassian Sequences

... partial sums and maxima behave simultaneously in the limit; see Anderson and Turkman 11 for a discussion of an application involving extreme wind gusts and average wind ...partial sums and maxima of ... See full document

14

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 ...central limit theorem in the joint version for log average in the case of independent and ... See full document

7

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

... strong limit theorem for weighted sums of sequences of negatively dependent random variables is further ...dependent random variables is ...dependent random variables under mild moment ... See full document

10

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

... central limit theorem (ASCLT) dealing mostly with partial sums of random ...partial sums were obtained by Ibragimov and Lifshits [], Miao [], Berkes and Csáki [], Hörmann [], Wu [–], and ... See full document

15

Almost Sure Limit Inferior for Increments of Stable Subordinators

Almost Sure Limit Inferior for Increments of Stable Subordinators

... a sequence of completely asymmetric stable process or stable subordi- nators defined on a common probability space ( Ω, , P ℑ ) ...sure limit inferior for increments of stable subordinators of geometrically ... See full document

8

Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability

Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability

... dependent random variables (martingale difference sequence or negatively as- sociated random variables ) satisfying the condition of h-integrability with exponent ... See full document

9

On the rate of convergence in limit theorems for random sums via Trotter distance

On the rate of convergence in limit theorems for random sums via Trotter distance

... It is worth pointing out that the mathematical tools have been used in the study of limit theorems for random sums review to date, including characteristic function, positive lin- ear ... See full document

12

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

... correlated random variables,” Proceedings of the American Mathematical Society, ...set-indexed sums of mixing random variables and weak convergence of set-indexed processes,” The Annals of ... See full document

10

Limit theorems for sums of random exponentials

Limit theorems for sums of random exponentials

... in random media. In the simplest situa- tion, exponential sums emerge as the (quenched) mean population size of a colony of non-interacting branching processes with random branching ... See full document

34

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

... a sequence of linear negatively dependent random ...some theorems of Chao [6] and Thrum ...identically random variables with finite p -th absolute moment ( p ≥ 2 ) the weighted sums ... See full document

6

Limit laws for sums of random exponentials

Limit laws for sums of random exponentials

... classical limit theorems concerning the bulk of the sample, ...Central Limit Theorem (CLT), on the one hand, and limit theorems for extreme values, on the other ... See full document

17

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