Asymptotic expansion of d-risks for hypothesis testing in Bernoulli scheme

DOI10.1134/S1995080218030204zbMath1394.62019OpenAlexW2801628845MaRDI QIDQ722303

A. A. Zaikin

Publication date: 23 July 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218030204

zbMATH Keywords

Bayesian analysisasymptotic expansionsufficient statisticBernoulli distributiond-risk

Mathematics Subject Classification ID

Bayesian inference (62F15) Asymptotic properties of parametric tests (62F05)

Cites Work

• On asymptotic expansion of posterior distribution
• Edgeworth series for lattice distributions
• Defect of the Size of Nonrandomized Test and Randomization Effect on Decreasing of the Necessary Sample Size in Testing the Bernoulli Success Probability
• Asymptotic Optimality of the Sequential d-Guaranty Test
• An Asymptotic Expansion for the Distribution of a Statistic Admitting an Asymptotic Expansion
• Local Asymptotic Efficiency of a Sequential Probability Ratio Testfor d-Guarantee Discriminationof Composite Hypotheses
• Asymptotic Expansions Associated with Posterior Distributions
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