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  • 1
    Electronic Resource
    Electronic Resource
    Neyman-Pearson Lemma for fuzzy hypotheses testing (1999)
    Springer
    Metrika 49 (1999), S. 3-17 
    Details
    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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