Large-Sample Asymptotic Approximations for the Sampling and Posterior Distributions of Differential Entropy for Multivariate Normal Distributions

Guillaume Marrelec; Habib Benali

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Large-Sample Asymptotic Approximations for the Sampling and Posterior Distributions of Differential Entropy for Multivariate Normal Distributions

机译：多元正态分布的微分熵的采样和后验分布的大样本渐近近似

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In the present paper, we propose a large sample asymptotic approximation for the sampling and posterior distributions of differential entropy when the sample is composed of independent and identically distributed realization of a multivariate normal distribution.

机译：在本文中，当样本由多元正态分布的独立且均匀分布的实现组成时，我们针对差分熵的样本和后分布提出了一个大样本渐近逼近。

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《Entropy》 |2011年第4期|共15页
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Guillaume Marrelec; Habib Benali;
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中图分类生理学;
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3. Asymptotic approximations to posterior distributions via conditional moment equations [J] . Yee JL., Johnson WO., Samaniego FJ. Biometrika . 2002,第4期

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4. Asymptotic nonnull distribution of LRC for testingμ1 = A =μq =μ0 ∑1 = A = ∑q = σ2I in multivariate normal distributions. [C] . The Eight China-Japan Symposium on Statistics . 2004

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5. Approximations, Simulation, and Accuracy of Multivariate Discrete Probability Distributions in Decision Analysis. [D] . Montiel Cendejas, Luis Vicente. 2012

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7. Large-Sample Asymptotic Approximations for the Sampling and Posterior Distributions of Differential Entropy for Multivariate Normal Distributions [O] . Habib Benali, Guillaume Marrelec 2011

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8. Asymptotic Distributions of the Likelihood Ratio Test Statistics for Covariance Structures of the Complex Multivariate Normal Distribution [R] . Fang, C., Krishnaiah, P. R., Nagarsenker, B. N. 1981

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Large-Sample Asymptotic Approximations for the Sampling and Posterior Distributions of Differential Entropy for Multivariate Normal Distributions

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