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This article presents a statistical analysis method and intro- duces the corresponding software package tailstat,” which is believed to be widely applicable to today’s internet so- ciety. The prop...
Central Limit Theorem in D for breakdown processes。
This note gives the convergence rate in the central limit theorem and the random central limit theorem of some functions of the average of independent random variables.
Central limit theorem for some dependent random elements of D [0,1]。
We give tbe rate of convergence in the central limit theorem and the random central limit theorem for functions belonging to the class I of all real differentiable functions g such that gr E L(1).
The Levy and the Dudley metrics are used to give estimates of the rate convergence in the centrat- limit theorem for some functions of the average of independent random variables.
We obtain an almost sure convergence limit theorem for independent nonidentically distributed random variablcs. Lct S,, n 2 1, be the partial sums of independent random variables with zero means an...
A central limit theorem and a corresponding functional central h i t theorem are given under a uniform mixing condition for uniformly inf~tesimal triangular arrays of random variables which take va...
The aim of this note is to prove the strong version of the CLT for associated sequences without any strong approximation theorems. In the proofs we only apply the weighted convergence result for av...
For strictly stationary random sequences satisfying the "minimal" dependence condition, necessary and sufficient conditions for the weak convergence to the normal law in terms of slow variation in ...

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