Titlebook: Asymptotic Optimal Inference for Non-ergodic Models; Ishwar V. Basawa,David John Scott Book 1983 Springer-Verlag New York Inc. 1983 Branch

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Mirage

Efficiency of Estimation,ich attains the maximal possible concentration about the true value of the parameter. It is easy to show that such an estimator also has minimum mean square error, so the theory incorporates the classical notions of estimation efficiency. Of course it is not in general possible to obtain an estimato

abreast

Optimal Asymptotic Tests,given in §2 of Chapter 1 and we assume the LAMN condition is satisfied. This general model is used in §§3 and 4. In later sections more restrictive conditions are required. It turns out that the usual statistics such as the Rao’s score statistic, the Neyman statistic, and the likelihood-ratio (LR) s

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Coronation

灰姑娘

Book 1983models. The non-ergodic family of models can be viewed as an extension of the usual Fisher-Rao model for asymptotics, referred to here as an ergodic family. The main feature of a non-ergodic model is that the sample Fisher information, appropriately normed, converges to a non-degenerate random varia

Verify

劇本

Mixture Experiments and Conditional Inference,rst stage of the experiment has been performed. We then have only X(n) as our sample and the information that the experiment on V has been performed. The conditionality principle will still be in force; we may treat v as an unknown nuisance parameter and use the density p. for inference about α.

archaeology

0930-0325 n-ergodic models. The non-ergodic family of models can be viewed as an extension of the usual Fisher-Rao model for asymptotics, referred to here as an ergodic family. The main feature of a non-ergodic model is that the sample Fisher information, appropriately normed, converges to a non-degenerate ra

Euphonious

Classical models of quantum mechanicsnditions are required. It turns out that the usual statistics such as the Rao’s score statistic, the Neyman statistic, and the likelihood-ratio (LR) statistic exhibit non-standard asymptotic behaviour in the non-ergodic case, as regards efficiency and limit distributions.