[PDF] Top 20 Almost sure central limit theorems for strongly mixing and associated random variables
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Almost sure central limit theorems for strongly mixing and associated random variables
... 1. Introduction and main results. The almost sure central limit theorem (ASCLT) has been first introduced independently by Schatte [11] and Brosamler [4]. Since then, many interesting results ... See full document
7
A note on the almost sure central limit theorems for the maxima and sums
... of almost sure central limit ...the almost sure central limit ...in almost sure central limit ...of strongly mixing ... See full document
8
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
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 dependent ... See full document
9
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
Central limit theorems for the spectra of classes of random fractals
... a central limit theorem for the general Crump-Mode- Jagers branching ...the random fractal sets, the random Cantor set boundary of the string, or the continuum random tree, can be ... See full document
42
Strong convergence results for weighted sums of ρ˜ mixing random variables
... for almost sure convergence, Peligrad and Gut [], Gan [], Cai [], Kuczmaszewska [], Zhu [], An and Yuan [] and Wang et ...strong limit theorems for weighted product sums of ... See full document
11
The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences
... the almost sure central limit theorem (ASCLT) has been studied for in- dependent and dependent random variables more and more ...following almost sure limit ... See full document
12
Central limit theorems for biased randomly trapped random walks on Z
... variables with non-zero variance under the environment law. This term has fluctuations on the order of √ t which suggests that the annealed convergence in Theorem 5 cannot be extended to convergence under the ... See full document
32
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, ...of mixing random variables and weak convergence of ... See full document
10
Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences
... Starting with Brosamler [] and Schatte [], in the last two decades several authors inves- tigated the almost sure central limit theorem (ASCLT) dealing mostly with partial sums of ... See full document
15
Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences
... the random sampling without replace- ment from a finite population is negatively associated (NA), but it is not ...studied. Limit behaviors of NA have received increasing attention recently due to the ... 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 (ASLCLT) for products of partial sums of negatively associated random ...i.i.d. random variables to NA random ... See full document
16
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 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
On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables
... Here and in the sequel, I {·} denotes an indicator function and ( · ) is the distribution func- tion of the standard normal random variable. It is known (see Berkes []) that the class of sequences satisfying the ... See full document
15
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- merous ... See full document
15
The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
... dependent random variables. Also, we extend 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
Almost Sure Limit Inferior for Increments of Stable Subordinators
... Let { X t ( ) , 0 ≤ < ∞ t } be a sequence of completely asymmetric stable process or stable subordi- nators defined on a common probability space ( Ω, , P ℑ ) . In this paper, for proper selection of norming ... See full document
8
Central limit theorems for the real eigenvalues of large Gaussian random matrices
... of random polynomials of high degree. For a quite general class of random polynomials, variance estimates and central limit theorems for the number of real roots were obtained by ... See full document
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