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广义线性模型的改进得分检验AI 解读

SUMMARY We present, in matrix notation, an asymptotic expansion for the null distribution of the score statistic in generalized linear models, corrected up to order n −1 where n is the sample size. The expansion has advantages for numerical purposes because it requires only simple operations on matrices. It is also sufficiently simple to be used analytically to obtain several closed form expressions, analogous to Bartlett corrections, in a variety of important score tests.…

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指数族非线性模型的改进似然比统计量AI 解读

This paper gives a general formula for the expected likelihood ratio statistic for exponential family nonlinear models, corrected up to order n−1, where n is the sample size. This result generalizes previous work by Cordeiro (1983). Various general Bartlett adjustment formulae are given to some special models and improved likelihood ratio tests are discussed.