On the convergence of uncertain random sequences

H. Ahmadzade, Y. Sheng () and M. Esfahani
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H. Ahmadzade: University of Sistan and Baluchestan
Y. Sheng: Xinjiang University
M. Esfahani: Velayat University

Fuzzy Optimization and Decision Making, 2017, vol. 16, issue 2, No 4, 205-220

Abstract: Abstract In this paper, a useful inequality for central moment of uncertain random variables is proved. Based on this inequality, a convergence theorem for sum of uncertain random variables is derived. A Borel–Cantelli lemma for chance measure is obtained based on the continuity assumption of uncertain measure. Finally, several convergence theorems for uncertain random sequences are established.

Keywords: Chance theory; Uncertain random variable; Chance distribution; Moments; Convergence (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10700-016-9242-z

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