[PDF] Top 20 A Note on the Almost Sure Central Limit Theorem for Partial Sums of ρ− Mixing Sequences
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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
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
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 ... See full document
11
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 note on the almost sure central limit theorems for the maxima and sums
... 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
On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables
... (.). Note that E|X| p < ∞ for all < p < since X belongs to the domain of attraction of the normal ...-mixing sequences (see [, Remark ... See full document
15
A Note on Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Sums
... Gaussian sequences, Cs´aki and Gonchigdanzan 5 investigated the validity of ...Gaussian sequences under some mild ...The almost sure central limit theorem in the joint ... See full document
7
Almost sure central limit theorem for self normalized products of the some partial sums of \(\rho^{ }\) mixing sequences
... of ρ – -mixing random variables was introduced initially by Zhang and Wang [5] in ...Obviously, ρ – -mixing random variables include NA and ρ ∗ -mixing random variables, which ... See full document
14
The almost sure local central limit theorem for products of partial sums under negative association
... for partial sums of independent and identically distributed ...of ρ-mixing se- quences, Jiang and Wu [24] extended it to the case of NA ... See full document
16
Some Strong Limit Theorems for Weighted Product Sums of Mixing Sequences of Random Variables
... study almost sure convergence for ρ -mixing sequences of random ...convergence theorem and the Marcinkiewicz strong law of large numbers for independent sequences of ... See full document
10
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- ... See full document
15
Improved results in almost sure central limit theorems for the maxima and partial sums for Gaussian sequences
... ln ln n, in this case, the condition () is significantly weaker than the condition (), and the conclusions () and () become () and (), respectively. Therefore, our Theorem . not only gives substantial ... See full document
15
A generalization of almost sure local limit theorem of uniform empirical process
... Gaussian sequences, Csáki and Gonchigdanzan [] presented the validity of ...Gaussian sequences under some mild ...an almost sure central limit theorem. The almost ... See full document
8
The complete convergence for weighted sums of dependent random fields
... The ρ ∗ -mixing random variables were investigated by Bryc and Smolenski [] (moment inequalities of partial sums), Bradley [, ] (equivalent mixing conditions and various ... See full document
8
KERNEL REGRESSION FOR RHO-MIXING OBSERVATIONS
... -mixing sequences we refer to Bradley(1990, 1992) for the central limit theorem, Bryc and Smolenski (1993) for moment inequalities and almost sure convergence, Peligrad ... See full document
9
Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences
... , 0 ≤ α < 1. Tan et al. [12] extended the range of random variables from i.i.d. random variables to ρ – -mixing sequences and Ye and Wu [13] extended i.i.d. random variables to strongly ... See full document
12
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] ... See full document
9
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
A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables
... Recently, Cai [] and Wang et al. [] have studied the complete convergence for NA ran- dom variables and arrays of rowwise ND random variables under the exponential moment conditions respectively. Their results ... See full document
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Complete convergence and complete moment convergence for weighted sums of m NA random variables
... theory. Sequences of NA random variables have been an attractive research topic in the recent ...for sequences of m-NA random ...weighted sums of identically distributed NA random ... See full document
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