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Neyman-Pearson Lemma for fuzzy hypotheses testing (1999)

Taheri, S. M. ; Behboodian, Javad

Springer

Metrika 49 (1999), S. 3-17

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ISSN: 1435-926X

Keywords: Key words: Fuzzy hypothesis ; probability of type I and type II errors ; Neyman-Pearson Lemma

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract. In this paper a new approach is presented for testing statistical hypotheses when the hypotheses are fuzzy rather than crisp. In order to establish optimality criteria, we first give new definitions for probability of type I and type II errors. Then, we state and prove the Neyman-Pearson Lemma, on the basis of these new errors, for testing fuzzy hypotheses, and we give a few examples.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s001840050021

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