[PDF] Top 20 A Limit Theorem for the Moment of Self Normalized Sums
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A Limit Theorem for the Moment of Self Normalized Sums
... Inspired by the above results, in this note we study the precise asymptotics in Davis law of large numbers for the moment of self-normalized sums. Our main result is as follows. Theorem ... See full document
10
A General Law of Complete Moment Convergence for Self Normalized Sums
... Inspired by the above results, the purpose of this paper is to study a general law of complete moment convergence for self-normalized sums. Our main result is as follows. Theorem 1.1. ... See full document
11
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 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 ...the moment ... See full document
12
A generalization of almost sure local limit theorem of uniform empirical process
... for all x ∈ R; here and in the sequel, I{A} is the indicator function of the event A and (x) stands for the standard normal distribution function. This result was firstly proved independently by Brosamler [] and Schatte ... See full document
8
A note on the almost sure central limit theorems for the maxima and sums
... stronger moment condition. Since then, this type of almost sure theorem, which mainly dealt with logarithmic average limit theorems, has been extended in various ...partial sums to the case of ... See full document
8
Central limit results without independence
... of moment conditions, combined with a Lindeberg-type condition, central limit theorems for sequences of random variables satisfying each of these types of dependence, and his paper serves as a good ... See full document
56
Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
... the limit convergence properties for ANA random variables is of much ...obtained moment inequalities for partial sums, the central limit theorems, the complete convergence, and the strong law ... 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
10
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 Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables
... the moment inequality of negatively dependent random variables which was obtained by Asadian et ...strong limit theorem for weighted sums of sequences of negatively dependent random variables ... See full document
8
Exponential inequalities for self normalized martingales
... for self-normalized process, the moment conditions can be deleted, for example, Shao [] obtained the large deviation of self-normalized sums of ...in limit theorems and ... See full document
12
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 ...central limit theorem of the ρ – -mixing ...central limit theorem for ... See full document
14
An improved result in almost sure central limit theorem for self normalized products of partial sums
... partial sums were obtained by Lacey and Philipp [], Ibragimov and Lifshits [], Miao [], Berkes and Csáki [], Hörmann [], Wu [, ...for self-normalized ... See full document
12
On the almost sure central limit theorem for self normalized products of partial sums of ϕ mixing random variables
... limit theorem. In recent years, the ASCLT for products of partial sums has received more and more ...partial sums, Gonchigdanzan [] on the ASCLT for the products of partial sums with ... See full document
15
A Note on “Limit Distributions of Self Normalized Sums” Using Cauchy Generated Samples
... In this article, we demonstrate how characteristic functions (CHF) are used in Statistics to find a distribution of a specific sample statistic (a function of indi- vidual observations). We do this by using a single ... 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
... 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
Convergence to a self-normalized G-Brownian motion
... the self-normalized central limit theorem, we establish a new Donsker’s invariance principle in Section “Invariance principle” with the limit process being a generalized G-Brownian ... See full document
25
A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
... When v = θ ≥ 1, further assume that EX nk = 0 for any n, k ≥ 1. Then (2.5) holds. Remark 2 . Theorem 1 generalize and improve those on complete convergence theo- rem previously obtained by Hu et al. [16], Ahmed et ... See full document
10
The almost sure local central limit theorem for products of partial sums under negative association
... The ASLCLT for partial sums of independent and identically distributed r.v. was stim- ulated by Csáki et al. [22], and Khurelbaatar [23] extended it to the case of ρ-mixing se- quences, Jiang and Wu [24] extended ... See full document
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