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Digitale Medien

Neyman-Pearson Lemma for fuzzy hypotheses testing (1999)

Taheri, S. M. ; Behboodian, Javad

Springer

Metrika 49 (1999), S. 3-17

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Details

ISSN: 1435-926X

Schlagwort(e): Key words: Fuzzy hypothesis ; probability of type I and type II errors ; Neyman-Pearson Lemma

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

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

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