Moderate deviations for estimators under an exponentiallystochastic differentiability condition

GAO Fu-qing; LIU Qiao-jing

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Moderate deviations for estimators under an exponentiallystochastic differentiability condition

GAO Fu-qing * #,LIU Qiao-jing

School of Mathematics and Statistics, Wuhan University, Wuhan 430072

*Correspondence author

#Submitted by

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Funding: Specialized Research Fund for the Doctoral Program of Higher Education of China （No.20130141110076）, National Natural Science Foundation of China（No.11571262）

Opened online:23 May 2017

Accepted by: none

Citation: GAO Fu-qing,LIU Qiao-jing.Moderate deviations for estimators under an exponentiallystochastic differentiability condition[OL]. [23 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4735018

We introduce an exponentially stochastic differentiability condition to study moderate deviations for M-estimators. Under the condition, a moderate deviation principle is established. Some sufficient conditions of the exponentially stochastic differentiability and examples are also given.

Keywords:M-estimator; Moderate deviation; Exponentially stochastic differentiability condition

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