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Asymptotic Properties of the Maximum Quasi-Likelihood Estimator in Quasi-Likelihood Nonlinear Models
Authors:Tian Xia  Fanchao Kong  Xueren Wang
Affiliation:1. Department of Statistics , Yunnan University , Kunming, China;2. Department of Mathematics , Anhui University , Hefei, China
Abstract:Quasi-likelihood nonlinear models (QLNM) are a further extension of generalized linear models by only specifying the expectation and variance functions of the response variable. In this article, some mild regularity conditions are proposed. These regularity conditions, respectively, assure the existence, strong consistency, and the asymptotic normality of the maximum quasi-likelihood estimator (MQLE) in QLNM.
Keywords:Asymptotic normality  Consistency  Maximum quasi-likelihood estimator  Quasi-likelihood nonlinear models
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