关键词: 非线性再生散度随机效应模型, 渐近正态性, 相合性, 极大似然估计

Abstract: This paper proposes some regularity conditions analogous to those given by
Barndorff-Nielsen and Cox(1989), Severini and Wong(1992). On the basis of the proposed regularity conditions and Laplaces's approximation, the existence, the strong consistency and the asymptotic normality of maximum likelihood estimator (MLE) are proved in nonlinear reproductive dispersion models with random effects.

Key words: Nonlinear reproductive dispersion models with random effects,
Asymptotic normality, Consistency, Maximum likelihood estimator