Guaranteed statistical inference procedures (determination of the optimal sample size)

DOI10.1007/BF01095166zbMath0666.62077OpenAlexW2070720163MaRDI QIDQ1116601

Igor N. Volodin

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/69026

zbMATH Keywords

lower boundsrisk functiond-posterior approacha posteriori riskdetermination of sample sizeexpected values of stopping timesgeneral structure of statistical inferenceguaranteeing procedure

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Sequential statistical design (62L05) Sequential statistical analysis (62L10) Optimal stopping in statistics (62L15) General considerations in statistical decision theory (62C05)

Related Items

A sequential d-guaranteed test for distinguishing two interval hypotheses ⋮ Empirical estimation of \(d\)-risks at distinguishing one-sided hypotheses ⋮ On the d-posterior approach to the multiple testing problem ⋮ Sequential multiple hypothesis testing in presence of control variables ⋮ Estimation of mean value of a normal distribution with constraints on the relative error and d-risk ⋮ D-guaranteed discrimination of statistical hypotheses: a review of results and unsolved problems ⋮ Estimates with Asymptotically Uniformly Minimal $d$-Risk ⋮ Estimation of the mean value for the normal distribution with constraints on \(d\)-risk

Cites Work

• Two Breakthroughs in the Theory of Statistical Decision Making
• Lower Bounds for Average Sample Number of Sequential Multihypothesis Tests
• Optimal Stopping and Experimental Design
• Sequential Confidence Intervals for the Mean of a Normal Distribution with Known Variance
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