• DocumentCode
    2903509
  • Title

    Convergences of set-valued stochastic series

  • Author

    Fu, Jinping ; Li, Shoumei

  • Author_Institution
    Dept. of Appl. Math., Beijing Univ. of Technol., Beijing
  • fYear
    2008
  • fDate
    1-6 June 2008
  • Firstpage
    449
  • Lastpage
    454
  • Abstract
    In this paper, we shall study convergences of set-valued stochastic series. After reviewing necessary concepts and basic results about set-valued random variables, we shall introduce definitions of set-valued stochastic series. We shall mainly give the sufficient and necessary conditions of convergences of set-valued stochastic series, and prove three-series theorems of set-valued random variables in the senses of two different metrics.
  • Keywords
    convergence; random processes; series (mathematics); set theory; stochastic processes; set-valued random variables; set-valued stochastic series; three-series theorems; Artificial intelligence; Data processing; Decision making; Extraterrestrial measurements; Mathematics; Pattern analysis; Random media; Random variables; Stochastic processes; Stochastic systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on
  • Conference_Location
    Hong Kong
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4244-1818-3
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2008.4630407
  • Filename
    4630407