• DocumentCode
    976709
  • Title

    Some characterizations for the exponential class of distributions

  • Author

    Consul, P.C.

  • Author_Institution
    Dept. of Math. & Stat., Calgary Univ., Alta., Canada
  • Volume
    44
  • Issue
    3
  • fYear
    1995
  • fDate
    9/1/1995 12:00:00 AM
  • Firstpage
    403
  • Lastpage
    407
  • Abstract
    A general characterization theorem, based on conditional expectation, is proved for the exponential class of distributions. The theorem is then applied to numerous discrete and continuous probability distributions of the exponential class providing specific characterizations for each one of them
  • Keywords
    Poisson distribution; exponential distribution; gamma distribution; characterization theorem; conditional expectation; continuous probability distributions; discrete probability distributions; exponential distributions class; Cramer-Rao bounds; Lagrangian functions; Probability distribution; Random variables; Reliability theory;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/24.406573
  • Filename
    406573
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=976709