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Mosco convergence of SLLN for triangular arrays of rowwise independent random sets

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  • Quang, Nguyen Van
  • Giap, Duong Xuan

Abstract

In this paper, we state several convergence results with respect to the Mosco topology of strong laws of large numbers for triangular arrays of rowwise independent random sets in a separable Banach space of type p(1

Suggested Citation

  • Quang, Nguyen Van & Giap, Duong Xuan, 2013. "Mosco convergence of SLLN for triangular arrays of rowwise independent random sets," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1117-1126.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:4:p:1117-1126
    DOI: 10.1016/j.spl.2012.12.030
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    References listed on IDEAS

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    1. Zvi Artstein & Sergiu Hart, 1981. "Law of Large Numbers for Random Sets and Allocation Processes," Mathematics of Operations Research, INFORMS, vol. 6(4), pages 485-492, November.
    2. Castaing, Charles & Quang, Nguyen Van & Thuan, Nguyen Tran, 2012. "A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers," Statistics & Probability Letters, Elsevier, vol. 82(1), pages 84-95.
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