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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 ... See full document
13
Almost sure central limit theorem for self normalized products of the some partial sums of \(\rho^{ }\) mixing sequences
... the almost sure central limit theorem (ASCLT) for the sequence of ...the products of the some partial sums of random ...for products of some partial ... See full document
14
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] ... 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
On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables
... of sequences satisfying the ASCLT is larger than the class of sequences satisfying the cen- tral limit ...for products of partial sums has received more and more ...the ... See full document
15
An improved result in almost sure central limit theorem for self normalized products of partial sums
... The purpose of this paper is to study and establish the ASCLT for self-normalized products of partial sums of random variables in the domain of attraction of the nor- mal law. We show that the ASCLT ... See full document
12
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 ...α, ρ, φ-mixing and associated random variables, we refer to Matuła [13], Lin [14], ... See full document
16
A Note on the Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Partial Sums of Certain Stationary Gaussian Sequences
... for partial sum, since then the concept has already started to receive applications in many ...this almost sure central limit theorem for partial sums to the case ... See full document
11
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
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 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
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
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 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 local central limit theorem for the product of some partial sums of negatively associated sequences
... studied. Limit behaviors of NA have received increasing attention recently due to the wide applications of NA sampling in a lot of fields such as those in multivariate statistical analysis and ... 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 following result due to Nourdin and Peccati (see Theorem . and Proposition . of []) is very useful and reduces the problem of the normal approximation of multiple stochastic integrals (more general of ... See full document
13
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
Almost sure central limit theorems for strongly mixing and associated random variables
... In this paper, we prove almost sure limit theorems which generalize Theorems 1.1 and 1.2. We also show that under the stationarity assumption, Theorems 1.4 and 1.6 imply Theorems 1.1 and 1.2, ... See full document
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