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The convergence rate of the TM algorithm of Edwards & Lauritzen

Edwards与Lauritzen的TM算法收敛速率

Edwards & Lauritzen (2001) have recently proposed the TM algorithm for finding the maximum likelihood estimate when the likelihood can be truly or artificially regarded as a conditional likelihood, and the full likelihood is more easily maximised. They have presented a proof of convergence, provided that the algorithm is supplemented by a line search. In this note a simple expression, in terms of observed information matrices, is given for the convergence rate of the…

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Precision estimation in sample survey inference: A criterion for choice between variance estimators

抽样调查精度估计:方差估计量的选择准则

We advocate the 'mean squared error of predicted squared error' as a universal criterion for the choice between variance estimators in sample survey inference. The predictive nature of the measure rewards variance estimators adapted to the amount of information in the actual sample. This makes the new measure more satisfactory than the simpler mean squared error of the variance estimator. The criterion turns out to be the same for design-based as for model-based inference,…

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