Almost Sure Central Limit Theorem
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 ...
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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] ...
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A note on the almost sure central limit theorem for the product of some partial sums
... The almost sure central limit theorem (ASCLT) has been first introduced independently by Schatte [] and Brosamler ...function-typed almost sure central limit ...
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Almost sure central limit theorem for products of sums of partial sums
... positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.. MSC: 60F[r] ...
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A Note on Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Sums
... The almost sure central limit theorem in the joint version for log average in the case of independent and identically distributed random variables is obtained by Peng et ...of ...
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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 ...
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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 ...
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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 ...
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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 ...
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Almost Sure Central Limit Theorem for a Nonstationary Gaussian Sequence
... almost surely for all x ∈ R, where IA is the indicator function of the event A and Φx stands for the standard normal distribution function. This result was first proved independently by Brosamler 1 and Schatte 2 ...
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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 ...
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An improved result in almost sure central limit theorem for self normalized products of partial sums
... Wu, QY: 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.. Ye, DX, Wu, QY: Almost sure central l[r] ...
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The almost sure local central limit theorem for products of partial sums under negative association
... The almost sure central limit theorem was proposed by Brosamler [11] and Schatte [12]. In recent years, the ASCLT has been extensively studied, and an attractive research direc- tion is ...
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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 ...
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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 ...
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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 ...
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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- ...
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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 distance ...
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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 ...
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A generalization of almost sure local limit theorem of uniform empirical process
... an almost sure central limit theorem. The almost sure central limit theorem in a joint version for log average in the case of independent and ...
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