STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF SET-VALUED RANDOM VARIABLES IN RADEMACHER TYPE P BANACH SPACE

• Guan Li

  Beijing University of Technology

• Li Shoumei

  Beijing University of Technology

• Inoue Hiroshi

  Tokyo University of Science

Abstract

In this paper, we shall prove some strong laws of large numbers(SLLN’s) for weighted sums of set-valued random variables in the sense of Hausdorff metric dH for which the basic space being Rademacher type p (1 ≤ p ≤ 2) Banach space. We partially follow the results of classical SLLN’s for X-valued random variables in [2], extending it to more general set-valued case.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 67 (3), 377-392, 2008

  International Society for Mathematical Sciences

Keywords

• set-valued random variables
• strong laws of large numbers
• Rademacher type p Banach space

Details

• CRID: 1390002184880244352
• NII Article ID: 10021089702
• NII Book ID: AA1150654X
• DOI: 10.32219/isms.67.3_377
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed