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Inequalities for predictive ratios and posterior variances in natural exponential families

โœ Scribed by Joseph B Kadane; Ingram Olkin; Marco Scarsini


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
475 KB
Volume
33
Category
Article
ISSN
0047-259X

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Posterior variance for quadratic natural
โœ Denys Pommeret ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 93 KB

Within the framework of the quadratic natural exponential families we construct a basis of polynomials orthogonal with respect to the posterior density. This construction is adapted from Walter and Hamedani (Ann. Statist. 3 (1991) 1191) and we exploit them to establish lower bounds for the posterior