Neyman-Pearson lemma for fuzzy hypotheses testing with vague data

DOI10.1007/S00184-006-0049-8zbMath1103.62021OpenAlexW2015353903WikidataQ124819971 ScholiaQ124819971MaRDI QIDQ862356

Hamzeh Torabi, J. Behboodian, S. Mahmoud Taheri

Publication date: 24 January 2007

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-006-0049-8

zbMATH Keywords

Fuzzy-valued random sampleFuzzy-valued random variableProbability of type I and type II errorsVague data

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Theory of fuzzy sets, etc. (03E72)

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Cites Work

• Unnamed Item
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• Testing fuzzy linear hypotheses in linear regression models
• Fuzzy hypothesis testing with hybrid data
• On the use of Zadeh's probabilistic definition for testing statistical hypotheses from fuzzy information
• A note on the operativeness of Neyman-Pearson tests with fuzzy information
• A fuzzy decision problem based on the generalized Neyman-Pearson criterion
• Testing fuzzy hypotheses with crisp data
• A fuzzy statistical test of fuzzy hypotheses
• Constructive definitions of fuzzy random variables
• Testing statistical hypotheses with vague data
• Testing hypotheses with fuzzy data: The fuzzy \(p\)-value
• Uncertainty theory. An introduction to its axiomatic foundations.
• Extension of fuzzy hypothesis testing with hybrid data
• Probability measures of fuzzy events
• An approach to fuzzy hypothesis testing
• Bayesian testing of fuzzy parametric hypotheses from fuzzy information
• Fuzzy sets
• Fuzzy random variables
• Two-sample hypothesis tests of means of a fuzzy random variable
• A Bayesian approach to fuzzy hypotheses testing
• Neyman-Pearson lemma for fuzzy hypotheses testing.

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