Title: Credibility hypothesis testing of fuzzy exponential distributions

Authors: S. Sampath; B. Ramya

Addresses: Department of Statistics, University of Madras, Chennai 600005, India ' Department of Statistics, University of Madras, Chennai 600005, India

Abstract: Under fuzzy environment, formulating an appropriate membership function is a vital process. Usually membership functions involve certain constants which are in general unknown. Recently, Sampath and Ramya (2014b) suggested a procedure to test the validity of a hypothesis regarding the credibility distribution of a fuzzy variable against a rival hypothesis using a criterion called 'membership ratio criterion' and made a detailed study with reference to triangular credibility distributions. This paper is devoted to study the properties of the test resulting from the application of membership ratio criterion when the competing hypotheses are statements about fuzzy exponential distribution.

Keywords: fuzzy variables; credibility distribution; membership ratio; credibility hypothesis; best credibility rejection region; fuzzy exponential distribution.

DOI: 10.1504/IJFCM.2015.069954

International Journal of Fuzzy Computation and Modelling, 2015 Vol.1 No.3, pp.287 - 311

Received: 28 Jul 2014
Accepted: 30 Oct 2014

Published online: 16 Jun 2015 *

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