Asymptotic Properties of Quasi-Maximum Likelihood Estimates in Generalized Linear Models

Asymptotic Properties of Quasi-Maximum Likelihood Estimates in Generalized Linear Models
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广义线性模型中拟最大似然估计的渐近性质

DOI:
10.1080/03610926.2010.513792
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发表时间:
2011-11
期刊:
Communications in Statistics - Theory and Methods
影响因子:
--
通讯作者:
张三国
张三国
中科院分区:
其他
文献类型:
--
作者:
张三国

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在本文中,我们考虑广义线性模型(GLMs)的拟似然方程。在一些温和条件下,包括由Lai等人(1979)定义的收敛系统,我们得到了……解的渐近存在性。(最后一个单词“the a”似乎不完整)
In this article, we consider the quasi-likelihood equation for generalized linear models (GLMs). Under some mild conditions, including the convergent system which is defined by Lai et al. (1979), we obtain the asymptotic existence of the solution to the above equation and show that , where β0 is the true value of parameter β and denotes the smallest (largest) eigenvalue of satisfying for given δ > 1. We also present the asymptotic normality of for univariate GLMs, based on which “studentized” large sample confidence intervals for β0 are constructed. Simulation results and related remarks are given.
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