On the estimation of parameters, survival functions, and hazard rates based on fuzzy life time data. Issue 10 (19th May 2017)

• Record Type: Journal Article
• Authors: Shafiq, Muhammad; Viertl, Reinhard
• Is Part Of: Communications in statistics. Volume 46:Issue 10(2017)
• Page Start: 5035
• Page End: 5055
• Publication Date: 2017-05-19
• Subjects: Fuzzy number -- hazard rate -- life time -- non precise data -- survival function.; 62F10 -- 62N02 -- 62N05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2015.1099667
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Life time data analysis is regarded as one of the significant out-shoots of statistics. Classical statistical techniques reckon life time observations as precise numbers and solely cover variation among the observations. In fact, there are two types of uncertainty in data: variation among the observations and the fuzziness. To this effect, the analysis techniques, which do not consider fuzziness and are only based on precise life time observations, use incomplete information; hence lead to pseudo results. This study aimed at generalizing parameters estimation, survival functions, and hazard rates for fuzzy life time data.