# On a Berry‐Esséen theorem for a Studentized jackknife L‐estimate

Kuang‐Fu ‐F Cheng

1 引文 (Scopus)

### 摘要

Consider a linear function of order statistics (“L‐estimate”) which can be expressed as a statistical function T(Fn) based on the sample cumulative distribution function Fn. Let T*(Fn) be the corresponding jackknifed version of T(Fn), and let V2 n be the jackknife estimate of the asymptotic variance of n 1/2T(Fn) or n 1/2T*(Fn). In this paper, we provide a Berry‐Esséen rate of the normal approximation for a Studentized jackknife L‐estimate n1/2[T*(Fn) ‐ T(F)]/Vn, where T(F) is the basic functional associated with the L‐estimate.

原文 英語 113-119 7 Canadian Journal of Statistics 10 2 https://doi.org/10.2307/3314903 已發佈 - 1982 Yes

### 指紋

Jackknife
Normal Approximation
Cumulative distribution function
Asymptotic Variance
Order Statistics
Theorem
Linear Function
Estimate
Asymptotic variance
Order statistics
Approximation
Distribution function

### ASJC Scopus subject areas

• Statistics and Probability
• Statistics, Probability and Uncertainty

### 引用此文

On a Berry‐Esséen theorem for a Studentized jackknife L‐estimate. / Cheng, Kuang‐Fu ‐F.

Cheng, Kuang‐Fu ‐F. / On a Berry‐Esséen theorem for a Studentized jackknife L‐estimate. 於: Canadian Journal of Statistics. 1982 ; 卷 10, 編號 2. 頁 113-119.
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