[PDF] Top 20 Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence
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Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence
... In a related work, Cs´aki and Gonchigdanzan 5 investigated the validity of 1.2 for maxima of stationary Gaussian sequences under some mild condition whereas Chen and Lin 6 extended it to non-stationary ... See full document
10
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 ...of Gaussian sequences has experienced new develop- ments in the recent past ... See full document
15
A Note on Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Sums
... For Gaussian sequences, Cs´aki and Gonchigdanzan 5 investigated the validity of ...stationary Gaussian sequences under some mild ...to nonstationary Gaussian ...The almost sure ... See full document
7
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 − δ ...associated ... See full document
7
Berry Esséen bounds and almost sure CLT for quadratic variation of weighted fractional Brownian motion
... the almost sure central limit theorem for sequences of functionals of general Gaussian fields developed by Nourdin and Peccati, we derive the explicit bounds for the Kolmogorov ... See full document
13
Some limit theorems for ratios of order statistics from uniform random variables
... the almost sure central limit theorem and related ‘logarithmic’ limit the- orems for partial sums of independent random ...the almost sure central ... See full document
18
Almost Sure Convergence for the Maximum and the Sum of Nonstationary Guassian Sequences
... the limit; see Anderson and Turkman 11 for a discussion of an application involving extreme wind gusts and average wind ...the almost sure limiting behavior for partial sums and maxima of ...the ... See full document
14
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
An almost sure central limit theorem of products of partial sums for ρ mixing sequences
... their limit properties have aroused wide interest recently, and a lot of results have been obtained, such as the weak convergence theorems, the central limit theorems of random fields, Rosenthal-type ... See full document
13
Almost sure central limit theorem for self normalized products of the some partial sums of \(\rho^{ }\) mixing sequences
... their limit properties have aroused wide interest recently, and a lot of results have been obtained by many ...the almost central limit theorem of the ρ – -mixing ...The almost ... See full document
14
A note on the almost sure central limit theorems for the maxima and sums
... For Gaussian sequences, Csáki and Gonchigdanzan [] investigated, under some mild conditions, the validity of ...the almost sure central limit theorem in the joint version for ... See full document
8
A generalization of almost sure local limit theorem of uniform empirical process
... For Gaussian sequences, Csáki and Gonchigdanzan [] presented the validity of ...stationary Gaussian sequences under some mild ...an almost sure central limit theorem. The ... See full document
8
Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences
... tive, square integrable random variables are asymptotically log-normal. After that, Rem- pała and Wesołowski [5] removed the condition with exponential distribution in Arnold and Villaseñor [4] and introduced ... 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 ...the theorem of Weng et ... See full document
16
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 ASCLT ... 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
... The ASCLT has been first introduced independently by Brosamler [2] and Schatte [3] for partial sum, since then the concept has already started to receive applications in many fields. For example, Fahrner and Sadtmuller ... 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
A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences
... YC: Almost sure convergence in extreme value ...On almost sure max-limit ...in almost sure central limit ...QY: Almost sure limit ... See full document
15
A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ− Mixing Sequences
... Their limit properties have received more and more attention recently, and a number of results have been obtained, such as Zhang and Wang [1] for Rosenthal-type moment inequality and Marcinkiewicz-Zygmund law of ... See full document
7
On almost sure limiting behavior of a dependent random sequence
... On almost sure limiting behavior of a dependent random sequence Ai-hua Fan* and Zhong-zhi Wang * Correspondence: [email protected] School of Mathematics & Physics, AnHui University of Tech[r] ... See full document
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