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Titlebook: Asymptotic Efficiency of Statistical Estimators: Concepts and Higher Order Asymptotic Efficiency; Concepts and Higher Masafumi Akahira,Kei

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Book 1981Our investigation has two main purposes. Firstly, we discuss higher order asymptotic efficiency of estimators in regular situa­ tions. In these situations it is known that the maximum likelihood estimator (MLE) is asymptotically efficient in some (not always specified) sense. However, there exists h
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Foundations of Java for ABAP Programmerscond order asymptotically efficient but not always third order asymptotically efficient in the regular case. Further, it shall be seen that the asymptotic efficiency (including higher order cases) may be systematically discussed by discretized likelihood methods.
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https://doi.org/10.1007/978-1-4302-0140-3ation. Recently Chibisov [15], [16] has shown that a maximum likelihood estimator (MLE) is second order asymptotically efficient in this sense. Pfanzagl ([32], [33]) obtained that MLE attains the second order asymptotic efficiency in the sense adopted here. In this chapter we shall discuss second or
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Inner, Nested, and Anonymous Classeserminology) and also by J.K.Ghosh and K.Subramanyam [21], for cases where sufficient statistics exist. In this section we shall establish more general results for the multiparameter exponential family, introducing a differential operator, and show that (modified) MLE is always optimal up to the orde
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Foundations of Java for ABAP Programmersonsider a solution.of the discretized likelihood equation.where a.(θ, r) is chosen so that.is asymptotically median unbiased (AMU). Then the solution.is called a discretized likelihood estimator (DLE). In this chapter it is shown in comparison with DLE that a maximum likelihood estimator (MLE) is se
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Lecture Notes in Statisticshttp://image.papertrans.cn/b/image/163799.jpg
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Asymptotic Efficiency of Statistical Estimators: Concepts and Higher Order Asymptotic Efficiency978-1-4612-5927-5Series ISSN 0930-0325 Series E-ISSN 2197-7186
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https://doi.org/10.1007/978-1-4612-5927-5Asymptotische Wirksamkeit; Estimator; Likelihood; Schätzung (Statistik); linear regression
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