Defect of the Size of Nonrandomized Test and Randomization Effect on Decreasing of the Necessary Sample Size in Testing the Bernoulli Success Probability

DOI10.1137/S0040585X97T98717XzbMath1341.62066OpenAlexW1252989253MaRDI QIDQ2944447

A. A. Zaikin

Publication date: 2 September 2015

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t98717x

zbMATH Keywords

binomial distributionasymptotics of a necessary sample sizeclose hypothesesdefect of the size of a nonrandomized testKornish-Fisher expansionrandomization effect

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Asymptotic properties of parametric tests (62F05)

Related Items (1)

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

Cites Work

• On the real accuracy of approximation in the central limit theorem
• Asymptotics of the necessary sample size under small error probabilites
• Large-Sample Theory: Parametric Case
• Asymptotically Pearson Transformations
• The Number of Observations Needed to Distinguish Between Two Closely Related Hypotheses
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