[PDF] Top 20 A Note on Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Sums
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A Note on Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Sums
... 1.2 maxima of stationary Gaussian sequences under some mild ...The almost sure central limit theorem in the joint version for log average in the case of independent ... See full document
7
A note on the almost sure central limit theorems for the maxima and sums
... for maxima of stationary Gaussian ...the almost sure central limit theorem in the joint version for log-average of maxima and partial sums of ... See full document
8
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 almost sure central limit theorem for maxima and partial sum is ...the almost sure central limit theory previously obtained by Marcin Dudzinski ... See full document
11
A generalization of almost sure local limit theorem of uniform empirical process
... for maxima of stationary Gaussian sequences under some mild ...an almost sure central limit theorem. The almost sure central limit theorem in a ... See full document
8
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 ...partial sums were obtained by Ibragimov and Lifshits [], Miao [], Berkes and ... See full document
15
An almost sure central limit theorem of products of partial sums for ρ mixing sequences
... The authors were very grateful to the editor and anonymous referees for their careful reading of the manuscript and valuable suggestions which helped in significantly improving an earlier version of this article. ... See full document
13
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
Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence
... for maxima of stationary Gaussian sequences under some mild condition whereas Chen and Lin 6 extended it to non-stationary Gaussian ...two-dimensional version for a standardized stationary Gaussian ...the ... See full document
10
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
The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences
... The authors were very grateful to the editor and two anonymous referees for their careful reading of the manuscript and valuable suggestions which helped in significantly improving an earlier version of this ... See full document
12
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
A note on the almost sure central limit theorem for the product of some partial sums
... function-typed almost sure central limit theorem for a type of random function, which can include U-statistics, Von-Mises statistics, linear processes and some other types of ... See full document
11
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 ...the almost ... See full document
14
On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables
... limit theorem. In recent years, the ASCLT for products of partial sums has received more and more ...partial sums, Gonchigdanzan [] on the ASCLT for the products of partial sums with ... See full document
15
A note on the almost sure limit theorem for self normalized partial sums of random variables in the domain of attraction of the normal law
... the standard normal distribution function. Some ASCLT results for partial sums were obtained by Lacey and Philipp [4], Ibragimov and Lifshits [5], Miao [6], Berkes and Csáki [7], Hörmann [8], Wu [9,10], and Ye and ... See full document
10
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 ... See full document
7
A refinement of normal approximation to Poisson binomial
... are used, then the accuracy of the approximation is better. The use of asymptotic expan- sions is one of the most natural ways of refinement (see, e.g., Uspensky [12], Kolassa [6], Petrov [11], and Bhattacharya and Rao ... See full document
12
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
Almost Sure Limit Inferior for Increments of Stable Subordinators
... study almost sure limit inferior for increments of stable subordinators of geometrically increasing ...delayed sums and study the existence of moments for boundary crossing random ... See full document
8
A Limit Theorem for the Moment of Self Normalized Sums
... Inspired by the above results, in this note we study the precise asymptotics in Davis law of large numbers for the moment of self-normalized sums. Our main result is as follows. Theorem 1.1. Suppose ... See full document
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