[PDF] Top 20 A note on the almost sure central limit theorems for the maxima and sums
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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 independent and iden- tically ... See full document
8
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
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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
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 Csáki ... See full document
15
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 and identically ... See full document
7
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, ... See full document
13
The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences
... The almost sure central limit theorems for the maxima of strongly dependent stationary Gaussian vector sequences are proved under some mild ... See full document
12
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
... the limit convergence properties for ANA random variables is of much ...partial sums, the central limit theorems, the complete convergence, and the strong law of large numbers, Wang and ... See full document
13
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 joint version ... See full document
8
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
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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
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
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
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 statistics, but ... 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
The almost sure local central limit theorem for products of partial sums under negative association
... Matuła and Ste¸pień [16] provided a very mild assumption on the summability on co- variances to obtain limit theorems (CLT and ASCLT). As we all know, the ASLCLT is a general result which contains the ... See full document
16
Limit theorems for sums of random exponentials
... 1.2.2. Branching populations. The second motivation (in fact, the most impor- tant one) is related to long-term dynamics in random media. In the simplest situa- tion, exponential sums emerge as the (quenched) mean ... See full document
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Limit theorems for delayed sums of random sequence
... Our aim in this article is to establish strong deviation theorems (limit theorem expressed by inequalities, see [5]) of delayed average for the dependent absolutely con- tinuous random variables. By using ... See full document
8
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
On the almost sure running maxima of solutions of affine stochastic functional differential equations
... Linear stochastic delay difference equations are commonly seen in the time series modelling of interest rates and volatilities in inefficient markets, in which historical information is incorporated in the dynamical system ... See full document
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