Hypotheses Testing as a Fuzzy Set Estimation Problem

DOI10.1080/03610926.2011.599005zbMath1319.62040arXiv1512.03508OpenAlexW2001889553MaRDI QIDQ2839045

Siamak Noorbaloochi, Glen Meeden

Publication date: 4 July 2013

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03508

zbMATH Keywords

point estimationfuzzy set theorymembership functionhypotheses testing\(p\)-values

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Nonparametric estimation (62G05) Parametric inference and fuzziness (62F86) Nonparametric inference and fuzziness (62G86)

Cites Work

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• Fuzzy \(p\)-value in testing fuzzy hypotheses with crisp data
• On the use of Zadeh's probabilistic definition for testing statistical hypotheses from fuzzy information
• Testing hypotheses with fuzzy data: The fuzzy \(p\)-value
• Estimating statistical hypotheses
• Fuzzy and randomized confidence intervals and p-values
• An approach to fuzzy hypothesis testing
• Fuzzy sets
• Membership Functions and Probability Measures of Fuzzy Sets
• Neyman-Pearson lemma for fuzzy hypotheses testing.

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