TY - JOUR
ID - 4113
TI - FURTHER RESULTS OF CONVERGENCE OF UNCERTAIN RANDOM SEQUENCES
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Gao, Rong
AU - Ahmadzade, Hamed
AD - School of Economics and Management, Hebei University of Technology,
Tianjin 300401, China
AD - Department of Statistics, University of Sistan and Baluchestan,
Zahedan, Iran
Y1 - 2018
PY - 2018
VL - 15
IS - 4
SP - 31
EP - 42
KW - Chance theory
KW - Uncertain random variable
KW - Chance distribution
KW - Convergence in distribution
KW - Convergence in mean
DO - 10.22111/ijfs.2018.4113
N2 - Convergence is an issue being widely concerned about. Thus, in this paper, we mainly put forward two types of concepts of convergence in mean and convergence in distribution for the sequence of uncertain random variables. Then some of theorems are proved to show the relations among the three convergence concepts that are convergence in mean, convergence in measure and convergence in distribution. Furthermore, several examples are given to illustrate how we use the theorems to make sure the uncertain random sequence being convergent. Finally, several counterexamples are taken to explain the relations between these different types of convergence.
UR - http://ijfs.usb.ac.ir/article_4113.html
L1 - http://ijfs.usb.ac.ir/article_4113_ec11c14a5f63adaa25d7b55c6fada69b.pdf
ER -