• DocumentCode
    37010
  • Title

    Goodness of Fit Using a New Estimate of Kullback-Leibler Information Based on Type II Censored Data

  • Author

    Noughabi, Hadi Alizadeh ; Balakrishnan, Narayanaswamy

  • Author_Institution
    Dept. of Stat., Univ. of Birjand, Birjand, Iran
  • Volume
    64
  • Issue
    2
  • fYear
    2015
  • fDate
    Jun-15
  • Firstpage
    627
  • Lastpage
    635
  • Abstract
    In this article, a general goodness of fit test is developed by using a new estimate of Kullback-Leibler (KL) information based on Type-II censored data. The proposed test is consistent, and the test statistic is nonnegative, just like KL information. Then, the test statistic is used to test for exponentiality based on Type-II censored data. Through a simulation study, power values of the proposed test are compared with some prominent existing tests. A real-life data analysis is finally presented for illustrative purpose.
  • Keywords
    Monte Carlo methods; entropy; statistical testing; Kullback-Leibler information estimation; goodness of fit; real-life data analysis; test statistic; type II censored data; Entropy; Estimation; Hazards; Joints; Monte Carlo methods; Probability density function; Testing; Entropy; Kullback-Leibler information; Monte Carlo simulation; Type-II censoring; power study; test for exponentiality;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.2014.2366763
  • Filename
    6953323