×

A SLLN for arrays of rowwise exchangeable fuzzy random sets. (English) Zbl 0832.60043

The authors prove a strong law of large numbers for fuzzy random variables. The result is a generalization of similar results [first author, Fuzzy Sets Syst. 41, No. 3, 285-291 (1991; Zbl 0737.60003)] and is further generalized by the first author [ibid. 69, 347-354 (1995)].
Reviewer: O.Kaleva (Tampere)

MSC:

60F15 Strong limit theorems
60G09 Exchangeability for stochastic processes
60A99 Foundations of probability theory

Citations:

Zbl 0737.60003
Full Text: DOI

References:

[1] DOI: 10.1214/aop/1176993083 · Zbl 0554.60022 · doi:10.1214/aop/1176993083
[2] DOI: 10.1016/0022-247X(65)90049-1 · Zbl 0163.06301 · doi:10.1016/0022-247X(65)90049-1
[3] Debreu G., Proc.Fifth Berkley Symp on Math.Stat. & Prob 12 pp 351– (1966)
[4] Gine, E., Hahn, M.G. and Zinn, J. Limit theorems for random sets: An application of probability in Banach space results. Probability in Banach Spaces IV, Proceedings, Oberwolfach. 1982. Vol. 990, pp.112–135. Springer-Verlag. Lecture Notes in Mathematics · Zbl 0521.60022
[5] Inoue, H. 1990. A limit law for rowwise exchangeable fuzzy random variables. Sino-Japan Joint Meeting on Fuzzy Sets and Systems. 1990.
[6] DOI: 10.1016/0165-0114(91)90132-A · Zbl 0737.60003 · doi:10.1016/0165-0114(91)90132-A
[7] DOI: 10.1214/aop/1176995566 · Zbl 0374.60064 · doi:10.1214/aop/1176995566
[8] DOI: 10.1098/rspa.1986.0091 · Zbl 0605.60038 · doi:10.1098/rspa.1986.0091
[9] DOI: 10.1016/0020-0255(82)90049-4 · Zbl 0571.60039 · doi:10.1016/0020-0255(82)90049-4
[10] DOI: 10.1016/0020-0255(78)90019-1 · Zbl 0438.60004 · doi:10.1016/0020-0255(78)90019-1
[11] DOI: 10.1016/0020-0255(79)90020-3 · Zbl 0438.60005 · doi:10.1016/0020-0255(79)90020-3
[12] DOI: 10.1016/0165-0114(84)90033-2 · Zbl 0551.60035 · doi:10.1016/0165-0114(84)90033-2
[13] DOI: 10.1080/07362998508809059 · Zbl 0568.60035 · doi:10.1080/07362998508809059
[14] DOI: 10.1214/aop/1176993671 · Zbl 0508.60021 · doi:10.1214/aop/1176993671
[15] DOI: 10.1016/0022-247X(86)90093-4 · Zbl 0592.60004 · doi:10.1016/0022-247X(86)90093-4
[16] DOI: 10.2307/2032477 · Zbl 0046.33304 · doi:10.2307/2032477
[17] DOI: 10.1016/0165-0114(81)90005-1 · Zbl 0467.60005 · doi:10.1016/0165-0114(81)90005-1
[18] Taylor R.L., Bull. Inst. Math. Academia Sincia 13 pp 403– (1985)
[19] Taylor R.L., Limit Theorems for Sums of Exchangeable Random Variables (1985) · Zbl 0668.60003
[20] DOI: 10.1007/BF00531823 · Zbl 0481.60018 · doi:10.1007/BF00531823
[21] DOI: 10.1016/S0019-9958(65)90241-X · Zbl 0139.24606 · doi:10.1016/S0019-9958(65)90241-X
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.