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Posterior mean identifies the prior distribution in nb and related models

✍ Scribed by H. Papageorgiou; Jacek Wesołowski

Book ID
104302656
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
388 KB
Volume
36
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis

Bayes negative binomial models under two different parameterizations are shown to be completely identifable by the form of the Bayes estimates of the parameter. Also power series mixtures are briefly treated. @ 1997 Elsevier Science B.V.

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✍ Marek Męczarski; Ryszard Zieliński 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 301 KB

Stability (robustness) of the Bayes estimates in linear models is considered. As measures of stability, the volume and the diameter of the ellipsoid of the posterior mean are proposed. The classes of priors of interest are sets of normal probability distributions with varying covariance matrices. Th