Add to ORKGAn independence test based on the sum of squared sample correlation coefficients was introduced by Schott (2005) and its asymptotic normality was also proved. In this paper, a Berry-Esseen bound with an optimal rate of O(1/√m) is obtained and a general Berry-Esseen bound via Stein's method of exchangeable pair is also established. Key Words: Berry-Esseen bound, independence test, Stein's method, exchangeable pair
The Hilbert-Schmidt Independence Criterion (HSIC) is a dependence measure based on reproducing kerne...
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen the...
Abstract: We obtain rates of convergence in limit theorems of partial sums Sn for certain sequences ...
The Berry-Esseen bound for the random variable based on the sum of squared sample correlation coeffi...
Let X-1 , . . . , X-n be a random sample from a p-dimensional population distribution. Assume that c...
This paper presents a quick test of independence against a high-dimensional alternative. The test is...
In this paper, we are concerned with the independence test for kk high-dimensional sub-vectors of a ...
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen the...
Let (Xn) be a sequence of independent random variables and N a positive integral-valued random varia...
We study the asymptotic behavior of a sum of independent and identically distributed random variable...
We consider the testing of mutual independence among all entries in a [Formula: see text]-dimensiona...
Contains fulltext : 163781.pdf (preprint version ) (Open Access
We prove a Berry-Esseen bound in de Jong's classical CLT for normalized, completely degenerate $U$-s...
The Stein's method, originally introduced by Stein (1972), gives us a novel wayto investigate normal...
A simple statistic is proposed for testing the complete independence of random variables having a mu...
The Hilbert-Schmidt Independence Criterion (HSIC) is a dependence measure based on reproducing kerne...
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen the...
Abstract: We obtain rates of convergence in limit theorems of partial sums Sn for certain sequences ...
The Berry-Esseen bound for the random variable based on the sum of squared sample correlation coeffi...
Let X-1 , . . . , X-n be a random sample from a p-dimensional population distribution. Assume that c...
This paper presents a quick test of independence against a high-dimensional alternative. The test is...
In this paper, we are concerned with the independence test for kk high-dimensional sub-vectors of a ...
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen the...
Let (Xn) be a sequence of independent random variables and N a positive integral-valued random varia...
We study the asymptotic behavior of a sum of independent and identically distributed random variable...
We consider the testing of mutual independence among all entries in a [Formula: see text]-dimensiona...
Contains fulltext : 163781.pdf (preprint version ) (Open Access
We prove a Berry-Esseen bound in de Jong's classical CLT for normalized, completely degenerate $U$-s...
The Stein's method, originally introduced by Stein (1972), gives us a novel wayto investigate normal...
A simple statistic is proposed for testing the complete independence of random variables having a mu...
The Hilbert-Schmidt Independence Criterion (HSIC) is a dependence measure based on reproducing kerne...
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen the...
Abstract: We obtain rates of convergence in limit theorems of partial sums Sn for certain sequences ...