• DocumentCode
    76332
  • Title

    A New Discrete Modified Weibull Distribution

  • Author

    Almalki, Saad J. ; Nadarajah, S.

  • Author_Institution
    Dept. of Math. & Stat., Taif Univ., Taif, Saudi Arabia
  • Volume
    63
  • Issue
    1
  • fYear
    2014
  • fDate
    Mar-14
  • Firstpage
    68
  • Lastpage
    80
  • Abstract
    A three-parameter discrete distribution is introduced based on a recent modification of the continuous Weibull distribution. It is one of only three discrete distributions allowing for bathtub shaped hazard rate functions. We study some of its mathematical properties, discuss estimation by the method of maximum likelihood, and describe applications to four real data sets. The new distribution is shown to outperform at least three other models including those allowing for bathtub shaped hazard rate functions.
  • Keywords
    Weibull distribution; failure analysis; hazards; reliability theory; bathtub shaped hazard rate functions; discrete modified Weibull distribution; Gaussian distribution; Hazards; Maximum likelihood estimation; Random variables; Shape; Weibull distribution; Bathtub shaped failure rate; discrete distribution; lifetime models; modified Weibull distribution;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.2014.2299691
  • Filename
    6722987
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=76332