Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology

Duong Xuan Giap; Nguyen Van Huan; Bui Nguyen Tram Ngoc; Nguyen Van Quang

Abstract

We state some strong laws of large numbers for triangular arrays of random sets in separable Banach spaces with the gap topology and with or without compactly uniformly integrable condition.

Author information

Contact details are reproduced from the original publication and may be historical.

Duong Xuan Giap

Department of Mathematics, Vinh University, Nghe An Province, Vietnam

dxgiap@gmail.com

Nguyen Van Huan

Dept. of Mathematics and Applications, Saigon University, Ho Chi Minh City, Vietnam

vanhuandhdt@yahoo.com

Bui Nguyen Tram Ngoc

Dept. of Primary School and Preschool, Dong Nai University, Dong Nai Province, Vietnam

bntramngoc@gmail.com

Nguyen Van Quang

Department of Mathematics, Vinh University, Nghe An Province, Vietnam

nvquang@hotmail.com

Keywords

Random set
gap topology
triangular array
compactly uniformly integrable

Mathematics Subject Classification

60F15, 60B12, 28B20

Suggested citation

D. X. Giap, N. V. Huan, B. N. T. Ngoc, N. V. Quang. “Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology.” Journal of Convex Analysis 27 (2020), No. 4, 1157–1176.