• Title of article

    Characterizations Using Entropies of Records in a Geometric Random Record Model

  • Author/Authors

    Fashandi, M. ferdowsi university of mashhad - Ordered and Spatial Data Center of Excellence - Department of Statistics, مشهد, ايران , Khosravi, A. ferdowsi university of mashhad - Ordered and Spatial Data Center of Excellence - Department of Statistics, مشهد, ايران , Ahmadi, Jafar ferdowsi university of mashhad - Ordered and Spatial Data Center of Excellence - Department of Statistics, مشهد, ايران

  • From page
    31
  • To page
    42
  • Abstract
    Suppose that a geometrically distributed number of observations are available from an absolutely continuous distribution function F, within this set of observations denote the random number of records by M. This is called geometric random record model. In this paper, characterizations of F are provided in terms of the subsequences entropies of records conditional on events {M ≥ n} or {M = n} in a geometric random record model. Characterization results for symmetric distributions are also presented based on entropies of upper and lower records in a random record model.
  • Keywords
    Geometric distribution , Muntz , Szasz Theorem , records , Shannon information , symmetric distribution.
  • Journal title
    Journal of the Iranian Statistical Society (JIRSS)
  • Journal title
    Journal of the Iranian Statistical Society (JIRSS)
  • Record number

    2578605