USING FUZZY KNOWLEDGE OF A NUISANCE PARAMETER FOR HYPOTHESIS TESTING

Document Type: Regular Paper

Authors

1 1Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R. of Iran

2 Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Ave., Tehran, I. R. of Iran, 15914

Abstract

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.

Keywords