Document Type: Regular Paper
1Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R. of Iran
Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Ave., Tehran, I. R. of Iran, 15914
The problem of hypothesis testing with a nuisance parameter is considered. Two methods for
using fuzzy knowledge on the nuisance parameter to test hypotheses are suggested. These methods are
neither a pure classical nor a pure Bayesian approach to hypothesis testing, but rather related to both. A
few known examples and their applications, which cannot be studied by the parametric statistical
methods, are discussed.