A generalized strong law of large numbers

• 成果类型: Article
• 署名作者: Colubi, A; López-Díaz, M; Domínguez-Menchero, JS; Gil, MA
• 署名单位: University of Oviedo
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s004400050229
• 发表日期: 1999
• 页码: 401-417
• 关键词: fuzzy random-variables; random compact-sets; LIMIT-THEOREMS; banach-space; expectations; CONVERGENCE

摘要

Strong laws of large numbers have been stated in the literature for measurable functions taking on values on different spaces. In this paper, a strong law of large numbers which generalizes some previous ones (like those for real-valued random variables and compact random sets) is established. This law is an example of a strong law of large numbers for Borel measurable nonseparably valued elements of a metric space.