Posterior probabilities: nonmonotonicity, asymptotic rates, log-concavity, and Turán's inequality

DOI10.3150/21-BEJ1398MaRDI QIDQ2137027

Sergiu Hart, Yosef Rinott

Publication date: 16 May 2022

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.11728

zbMATH Keywords

Bayesian analysisexponential familiesLegendre polynomialsunimodalitysequential observationsexpected posteriorsstochastic and likelihood ratio orders

Mathematics Subject Classification ID

Statistics (62-XX) Parametric inference (62Fxx) Statistical distribution theory (62Exx)

Cites Work

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• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• Stochastic orders
• Statistical decision theory and Bayesian analysis. 2nd ed
• Posterior probabilities: dominance and optimism
• Bayesian inference does not lead you astray\dots on average
• Justifying the First-Order Approach to Principal-Agent Problems
• Asymptotic Statistics
• Positivity of Tur\'an determinants for orthogonal polynomials
• Consistency and Asymptotic Normality of MLE's for Exponential Models
• Univariate Discrete Distributions
• On an inequality of P. Turán concerning Legendre polynomials
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations

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