Titlebook: Differential-Geometrical Methods in Statistics; Shun-ichi Amari Book 1985 Springer-Verlag Berlin Heidelberg 1985 Estimator.probability.pro

Morose

Asymptotic Theory of Estimation 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

Occlusion

Asymptotic Theory of Tests and Interval Estimatorseters. 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 los

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Statistical Inference in the Presence of Nuisance Parametersarameter 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 inferenti

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Lecture Notes in Statisticshttp://image.papertrans.cn/d/image/278845.jpg

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