Title : ( Fuzzy statistical tests based on fuzzy confidence intervals )
Authors: J. Chachi , Seed Mahmood Taheri ,Abstract
A general method is proposed to construct fuzzy tests for testing statistical hypotheses about an unknown fuzzy parameter, when the data available are observations of a fuzzy random variable. The proposed method to construct such tests is essentially based on the one-to-one correspondence between the acceptance region of any level alpha test and the 1-alpha level confidence interval for the same parameter. By using this equivalency in the case of fuzzy environment, we construct the fuzzy test showing the degree of acceptability of the null and alternative hypotheses of interest. A numerical example in the field of lifetime study is given to clarify the theoretical results.
Keywords
, Fuzzy confidence interval, Fuzzy parameter, Fuzzy random variable, Fuzzy test, Lifetime data@inproceedings{paperid:1027849,
author = {J. Chachi and Taheri, Seed Mahmood},
title = {Fuzzy statistical tests based on fuzzy confidence intervals},
booktitle = {World Congress of International Fuzzy Systems Association 2011},
year = {2011},
location = {Surabaya},
keywords = {Fuzzy confidence interval; Fuzzy parameter; Fuzzy random variable; Fuzzy test; Lifetime data},
}
%0 Conference Proceedings
%T Fuzzy statistical tests based on fuzzy confidence intervals
%A J. Chachi
%A Taheri, Seed Mahmood
%J World Congress of International Fuzzy Systems Association 2011
%D 2011