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| Keywords | |
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Exponential family nonlinear models |
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consistency |
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asymptotic normality |
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maximum likelihood estimator. |
| Authors | |
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Xia Tian |
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Kong Fanchao |
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Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in Exponential Family Nonlinear Models
Xia Tian, Kong Fanchao
Department of Statistics, Yunnan University;Department of Mathematics, Anhui University
This paper proposes some regularity conditions which weaken those given by Zhu \& Wei (1997). On the basis of the proposed regularity conditions, the existence, the strong consistency and the asymptotic normality of maximum likelihood
estimation (MLE) are proved in exponential family nonlinear models
(EFNMs). Our results may be regarded as a further improvement of the
work of Zhu \& Wei (1997).