Ӧ�ø���ͳ�� 2008, 24(6) 593-603 DOI:      ISSN: 1001-4268 CN: 31-1256

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ժҪ�� �������������һЩ��������, ��Щ����������Zhu and Wei (1997)���е�����. �����������������, ����֤����ָ���������ģ�Ͳ��������Ȼ���Ƶ�����Ժͽ�����̬��. ���ǵĽ���ɱ���Ϊ��Zhu and Wei (1997)�����Ľ�һ���Ľ�.
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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
Abstract: 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).
Keywords: Exponential family nonlinear models   consistency   asymptotic normality   maximum likelihood estimator.  
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