非线性再生散度模型的渐近性质

Asymptotic Properties in Nonlinear Reproductive Dispersion Models

对非线性再生散度模型，给出了类似于Ｆａｈｒｍｅｉｒ＆Ｋａｕｆｍａｎｎ（１９８５）和Ｗｅｉ（１９９８）的正则条件．基于这些正则条件，证明了最大似然估计的存在性、强相合性和渐近正态性，推广了已有文献的工作．

This paper proposes some mild regularity conditions analogous to those given by Wei (1998) and Fahrmeir & Kaufmann (1985) under which the existence, the strong consistency and the asymptotic normality of maximum likelihood estimation (MLE) are given in nonlinear reproductive dispersion models (NRDM). The previous results in the literature are generalized to NRDM.