• DocumentCode
    1363132
  • Title

    Characterization of beta, binomial, and Poisson distributions

  • Author

    Ahmed, A.N.

  • Author_Institution
    Cairo Univ., Giza, Egypt
  • Volume
    40
  • Issue
    3
  • fYear
    1991
  • fDate
    8/1/1991 12:00:00 AM
  • Firstpage
    290
  • Lastpage
    295
  • Abstract
    Characterizations of beta, binomial, and Poisson distributions are presented by using conditional expectation. The author gives a necessary and sufficient condition for identifying the beta distribution. The power distribution is considered as a special case. The binomial distribution is characterized. A necessary and sufficient condition identifying the Poisson distribution is outlined. Some practical applications are presented
  • Keywords
    statistical analysis; Poisson distribution; beta distribution; binomial distribution; conditional expectation; power distribution; Books; Covariance matrix; Hazards; Mathematics; Power distribution; Probability; Random variables; Reliability theory; Statistical distributions; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/24.85443
  • Filename
    85443