[PDF] Top 20 Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences
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Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences
... By the terminology of summation procedures (see e.g. Chandrasekharan and Minak- shisundaram [], p.) one shows that the larger the weight sequence in ASCLT is, the stronger the relation becomes. Based on this view, ... See full document
15
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 ...for maxima of stationary Gaussian ...corresponding results about ASCLT. ... See full document
8
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 theorem for ... See full document
12
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 ... See full document
13
A generalization of almost sure local limit theorem of uniform empirical process
... For Gaussian sequences, Csáki and Gonchigdanzan [] presented the validity of ...for maxima of stationary Gaussian sequences under some mild ...responding results about an ... 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
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 ... See full document
7
Almost Sure Convergence for the Maximum and the Sum of Nonstationary Guassian Sequences
... how 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 ... See full document
14
A Note on the Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Partial Sums of Certain Stationary Gaussian Sequences
... stationary Gaussian random variables, a universal result in the almost sure central limit theorem for maxima and partial sum is ...the almost sure ... See full document
11
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 ...1.2 maxima of stationary Gaussian sequences under some mild ...corresponding results about ... See full document
7
Tail probabilities and almost sure bounds for martingales
... This brief and informal chapter is not strictly in logical sequence with Chapter 1 - 4 . Generated by Remark 3.4.4;it presents a statistical application, a test against the null hypothesis that a time series was ... See full document
78
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
... Hence, from (.) we get that the complete moment convergence implies the complete convergence. Compared with the results of Sung [, ] and Zhou et al. [], it is worth point- ing out that our main result is much ... See full document
13
Berry Esséen bounds and almost sure CLT for quadratic variation of weighted fractional Brownian motion
... The fractional Brownian motion (fBm for short) is the usual candidate to model phe- nomena in which the self-similarity property can be observed from the empirical data. The fBm is a suitable generalization of the ... See full document
13
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 author was very grateful to the referees and the Editors for their valuable comments and some helpful suggestions that improved the clarity and readability of the paper. This work was supported by the National ... See full document
10
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
... 17. Walk, H. (2006). Almost sure convergence properties of Nadaraya-Watson regression estimates. International Series in Operations Research & Management Science, Vol. 46, Modeling Uncertainty, Part 4, ... See full document
9
Limit theorems for sums of random exponentials
... become non-Gaussian. In the present work, we extend these results to the class of distributions with Weibull/Fr´echet-type tails of the form (1.2). As compared to the paper [6] which proceeded from extreme ... See full document
34
The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
... these results have been extended by other authors for example: Amini ...some results of Shao [12] and Thrum [14] for sequence { X n , n ≥ 1} of LIND random ...the almost sure convergence for ... See full document
6
Almost sure central limit theorems for strongly mixing and associated random variables
... main results. The almost sure central limit theorem (ASCLT) has been first introduced independently by Schatte [11] and Brosamler ...interesting results have been discovered in ... See full document
7
Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences
... strong limit theorems for arbitrary stochastic ...strong limit theorems for stochastic ...strong limit theorems for martingale-difference sequence, Lo`eve’s series convergence ... See full document
11
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