[PDF] Top 20 On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables
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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
15
Almost sure central limit theorem for self normalized products of the some partial sums of \(\rho^{ }\) mixing sequences
... -mixing random variables was introduced initially by Zhang and Wang [5] in ...-mixing random variables include NA and ρ ∗ -mixing random variables, which ... See full document
14
An improved result in almost sure central limit theorem for self normalized products of partial sums
... for partial sums were obtained by Lacey and Philipp [], Ibragimov and Lifshits [], Miao [], Berkes and Csáki [], Hörmann [], Wu [, ...for products of partial ...for ... See full document
12
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
Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences
... 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 mixing random ... See full document
12
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
... for partial sums were obtained by Lacey and Philipp [4], Ibragimov and Lifshits [5], Miao [6], Berkes and Csáki [7], Hörmann [8], Wu [9,10], and Ye and Wu ...for self-normalized ... See full document
10
An almost sure central limit theorem of products of partial sums for ρ mixing sequences
... -mixing random variables include NA and r*-mixing random variables, which have a lot of applications, their limit properties have aroused wide interest recently, and a lot ... See full document
13
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
The almost sure local central limit theorem for products of partial sums under negative association
... the almost sure local central limit theorem (ASLCLT) for products of partial sums of negatively associated random ...the theorem of Weng et al. [21] ... See full document
16
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
The complete convergence for weighted sums of dependent random fields
... estimators (see Kafles and Bhaskara Rao []) and M-estimates (see Rao and Zhao []) in linear models, the nonparametric regression estimators (see Priestley and Chao []) etc. So, the study of the complete convergence ... See full document
8
The Almost Sure Convergence for Weighted Sums of Linear Negatively Dependent Random Variables
... a theorem of Shao [12] by assuming that { X n } is a sequence of linear negatively dependent random ...identically random variables with finite p -th absolute moment ( p ≥ 2 ) the weighted ... See full document
6
Complete convergence and complete moment convergence for weighted sums of m NA random variables
... convergence for weighted sums of m-negatively associated (m-NA) random variables and obtain some new results. These results extend and improve the corresponding theorems of Sung (Stat. Pap. ... See full document
14
A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences
... some almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences under some mild ... See full document
15
Central limit results without independence
... Zolotarev's theorem has not been carried over to Theorem ...dependent random variables, the basic tool of characteristic func tion theory no longer being ...standard random functions ... See full document
56
KERNEL REGRESSION FOR RHO-MIXING OBSERVATIONS
... uniform almost sure convergence of the kernel estimate of the regression function over a sequence of compact sets which increases to I R d when n approaches the infinity and the observed process is ~ ... See full document
9
A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
... dependent random variables which was obtained by Asadian et ...strong limit theorem for weighted sums of sequences of negatively dependent random variables is ...strong ... See full document
8
A refinement of normal approximation to Poisson binomial
... variable and it is well known that the distribution of a Poisson binomial random variable can be approximated by the standard normal distribution. In this paper, we use Taylor’s formula to improve the ... See full document
12
A generalization of the global limit theorems of R P Agnew
... convergence, complete convergence, almost everywhere convergence, uniform convergence, sums of independent random variables, central limit theorem, Liapounov condition... 1980 AMS SUBJEC[r] ... See full document
10
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
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