Testing hypotheses by using optimal statistical criteria. I

DOI10.1007/BF01060409zbMath0832.62004OpenAlexW4246864575MaRDI QIDQ1905101

Yu. I. Petunin, Yu. V. Kuk

Publication date: 8 January 1996

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01060409

zbMATH Keywords

likelihood ratiominimax criterionBayesian criterionarbitrary finite set of simple alternative hypothesesoptimal statistical criterion

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Bayesian problems; characterization of Bayes procedures (62C10) Minimax procedures in statistical decision theory (62C20) General considerations in statistical decision theory (62C05)

Cites Work

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• Testing hypotheses by using optimal statistical criteria. II
• Sufficient conditions for extremum, penalty functions and regularity

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