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Consistency and asymptotic normality of the maximum quasi-likelihood estimator in quasi-likelihood nonlinear models with random regressors
Authors:Tian Xia  Shun-fang Wang  Xue-ren Wang
Affiliation:[1]Department of Statistics, Yunnan University, Kunming 650091, China [2]School of Information Science and Engineering, Yunnan University, Kunming 650091, China
Abstract:This paper proposes some regularity conditions, which result in the existence, strong consistency and asymptotic normality of maximum quasi-likelihood estimator (MQLE) in quasi-likelihood nonlinear models (QLNM) with random regressors. The asymptotic results of generalized linear models (GLM) with random regressors are generalized to QLNM with random regressors.
Keywords:Asymptotic normality   consistency   maximum quasi-likelihood estimator   quasi-likelihood nonlinear models with random regressors
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