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- W193744047 endingPage "97" @default.
- W193744047 startingPage "1" @default.
- W193744047 abstract "This chapter explains the possibility of developing a general statistical theory based on asymptotic methods. It presents a survey of the literature on this subject. The chapter presents estimators and tests based on statistics with stochastic expansions. The emphasis on such procedures is justified by the fact that that this class contains procedures having certain optimum properties of order o (n -1/2 ) in a wider class. Where nonasymptotic theory is applicable, it can at best be used to improve given estimators or to establish their optimality. There are no fixed sample size properties recommending the maximum likelihood estimator. It may even be inadmissible under neg-unimodal (bowl-shaped) loss functions. The unsatisfactory state of nonasymptotic theory is not the fault of those working in this area. If there is not enough structure in the assumptions, no structure can appear in the results." @default.
- W193744047 created "2016-06-24" @default.
- W193744047 creator A5021413455 @default.
- W193744047 date "1980-01-01" @default.
- W193744047 modified "2023-10-05" @default.
- W193744047 title "Asymptotic Expansions in Parametric Statistical Theory" @default.
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