• Title/Summary/Keyword: interval valued martingales

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INTERVAL VALUED MARTINGALES

  • Mok, Jin-Sik
    • Journal of applied mathematics & informatics
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    • v.6 no.1
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    • pp.273-277
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    • 1999
  • In this paper we will consider interval-valued martin-gales. We obtain several results parallel to the case of real-valued martingales. For example an $L_1$-bounded interval-valued martingale converges a.e. An interval-valued martingale ${{F_n}^\infty}_{n=1}$ is uniformly in-tegrable if and only if there is an interval-valued random variable F with $\parallel F \parallel _1<\infty$ such that $F_n=E(F\mid A_n)$, for all $n\geq 1$