在非自然联系情形下讨论了广义线性模型拟似然方程的解βn在λn→∞和其他一些正则性条件下证明了解的弱相合性,并得到其收敛于真值βo的速度为Op(λn^-1/2),其中λn(λ^-n)为方阵Sn=n∑i=1XiX^11的最小(最大)特征值.%In this paper,we study the solution βn of quasi - maximum likelihood equation for generalized linear mod- els (GLMs). Under the assumption of an unnatural link function and other some mild conditions , we prove the weak consistency of the solution to βnquasi - - maximum likelihood equation and present its convergence rate isOp(λn^-1/2),λn(^λn) which denotes the smallest (Maximum)eigervalue of the matrixSn =n∑i=1XiX^11,
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