• DocumentCode
    3042239
  • Title

    Lower confidence limits of reliability for series system with Poisson components

  • Author

    Yang, Lisheng ; Zheng, Haiying

  • Author_Institution
    Sch. of Math. Inf. Sci., Wenzhou Univ., Wenzhou, China
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    2186
  • Lastpage
    2189
  • Abstract
    On the condition of the sample data, the paper discusses lower confidence limits of reliability for series with Poisson components. We can make use of the relationship between the cumulative function of the Poisson distribution and the Gamma function, and then give the expressions of reliability in the series system. Based on the sample data, the precise lower confidence limits of reliability for series system is calculated, and then the approximate lower confidence limit of reliability for series system is given. Finally, numerical simulation is carried out to verify the conclusions.
  • Keywords
    numerical analysis; reliability theory; stochastic processes; Gamma function; Poisson components; cumulative function; lower confidence reliability limits; numerical simulation; series system; Density functional theory; Educational institutions; Information science; Mathematics; Reliability engineering; Reliability theory; Fiducial lower confidence limit; Poisson distribution; reliability; series system;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Technology (ICMT), 2011 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-61284-771-9
  • Type

    conf

  • DOI
    10.1109/ICMT.2011.6002678
  • Filename
    6002678