expound 发表于 2025-3-26 21:46:11
Eliminating Selves, Reducing Persons associated with the estimator. Conditions for the consistency and efficiency of an estimator are given in geometrical terms of A. The higher-order terms of the covariance of an efficient estimators are decomposed into the sum of three non-negative geometrical terms. This proves that the bias correc安抚 发表于 2025-3-27 02:14:58
https://doi.org/10.1007/978-3-031-13995-6eters. The power function of a test is determined by the geometrical features of the boundary of its critical region. It is proved that a first-order efficient test is automatically second-order efficient, but there is in general no third-order uniformly most powerful test. The third-order power losoutrage 发表于 2025-3-27 06:00:17
http://reply.papertrans.cn/28/2789/278845/278845_33.png蛛丝 发表于 2025-3-27 12:25:09
Reasons for Action — Second Partarameter of interest while the nuisance parameters take any values, we have a submanifold in the model M depending on the fixed value. Statistical inference is carried out concerning the family of these submanifolds, so that their geometrical properties play an important role on evaluating inferentiResign 发表于 2025-3-27 17:15:41
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978-0-387-96056-2Springer-Verlag Berlin Heidelberg 1985Gorilla 发表于 2025-3-28 02:01:27
Differential-Geometrical Methods in Statistics978-1-4612-5056-2Series ISSN 0930-0325 Series E-ISSN 2197-7186担忧 发表于 2025-3-28 02:09:00
The FABEL Domain for Illustrationemannian metric and the α-connections are introduced in a statistical manifold. No differential-geometrical background is required for reading this monograph, because the present chapter provides a readable introduction to differential geometry.植物群 发表于 2025-3-28 08:25:18
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Introductionle x. One often uses a statistical model to carry out statistical inference, assuming that the true distribution is included in the model. However, a model is merely a hypothesis. The true distribution may not be in the model but be only close to it. Therefore, in order to evaluate statistical infer