高阶图灵估计渐近正态性的充分必要条件

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-01 DOI:10.3150/23-bej1587

Jie Chang, Michael Grabchak

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引用次数: 0

摘要

本文建立了高阶图灵估计渐近正态性的充分必要条件。进一步给出了几个易于验证的充分条件。然后使用这些条件来证明这些假设适用于尾部有规则变化的大类别分布。这包括以前没有验证过的渐近正态性的类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Necessary and sufficient conditions for the asymptotic normality of higher order Turing estimators

This paper establishes necessary and sufficient conditions for the asymptotic normality of higher order Turing estimators. It further gives several easy to verify sufficient conditions. These conditions are then used to show that the assumptions hold for large classes of distributions with regularly varying tails. This includes classes for which asymptotic normality had not been previously verified.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.