Title : ( A fuzzy-based approach to testing statistical hypotheses )
Authors: M. Arefi , Seed Mahmood Taheri ,
Full TextAbstract
An approach to test the crisp statistical hypotheses upon the fuzzy test statistic is developed. The proposed approach is investigated for two cases: the case without nuisance parameter, and the case with a nuisance parameter. For rejecting or accepting the null hypothesis of interest, an evidential point of view is proposed, based on a concept called degree of consistency of observations with the hypothesis. The approach is applied to test the parameters of the normal, Bernoulli, Poisson, and exponential distributions, as well as to test the difference of means and the ratio of variances of two normal distributions.
Keywords
Evidential inference; Fuzzy test statistic; Degree of consistency (DC); Degree of inconsistency (DI); Testing hypothesis
@article{paperid:1027854,
author = {M. Arefi and Taheri, Seed Mahmood},
title = {A fuzzy-based approach to testing statistical hypotheses},
journal = {International Journal of Intelligent Technologies and Applied Statistics},
year = {2011},
volume = {4},
number = {1},
month = {February},
issn = {1998-5010},
pages = {1--23},
numpages = {22},
keywords = {Evidential inference; Fuzzy test statistic; Degree of consistency (DC); Degree of inconsistency (DI); Testing hypothesis},
}
%0 Journal Article
%T A fuzzy-based approach to testing statistical hypotheses
%A M. Arefi
%A Taheri, Seed Mahmood
%J International Journal of Intelligent Technologies and Applied Statistics
%@ 1998-5010
%D 2011
