• DocumentCode
    811176
  • Title

    On the hazard rate of the lognormal distribution

  • Author

    Sweet, Arnold L.

  • Author_Institution
    Sch. of Ind. Eng., Purdue Univ., West Lafayette, IN, USA
  • Volume
    39
  • Issue
    3
  • fYear
    1990
  • fDate
    8/1/1990 12:00:00 AM
  • Firstpage
    325
  • Lastpage
    328
  • Abstract
    It is argued that plots of the hazard rate for the lognormal random variable which have appeared in some recent literature are incorrect and/or misleading; the hazard rate always begins at zero, rises to a maximum, then decreases very slowly to zero. An equation for the location of the maximum of the hazard rate is derived. The maximum lies in a finite interval for all positive values of the standard deviation of the associated normal random variable. Approximations that can be used to compute the hazard rate for parameter values outside of the usual range in the tables associated with the normal (Gaussian) random variable are presented
  • Keywords
    failure analysis; reliability theory; statistical analysis; failure rate; hazard rate; lognormal distribution; random variable; reliability; Books; Equations; Hazards; Log-normal distribution; Random variables; Reliability theory; Shape;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/24.103012
  • Filename
    103012