Goodness-Of-Fit Tests for the Component Lifetimes Distribution Based on the System Failure Data with Known Signature  
Author Ping Shing Chan


Co-Author(s) Yaoxi Zhong; Gaofeng Da


Abstract Suppose the lifetimes of coherent systems of a given, fixed design with components which have i.i.d. lifetimes distributed according to a common distribution F are observed. We would like to test the hypothesis that if the distribution F is exponential or Weibull. Kolmogrov-Smirnov type statistics are developed to test such hypothesis. Power studies are carried out via simulations.


Keywords Domination Vector; Goodness-of-fit Tests; Non-parametric Maximum Likelihood Estimator; System Signature
    Article #:  DSBFI19-104
Proceedings of ISSAT International Conference on Data Science in Business, Finance and Industry
July 3-5, 2019 - Da Nang, Vietnam