Weak Laws of Large Numbers of Cesaro Summation for Random Arrays

In this paper, we establish weak laws of large numbers with or without random indices for Cesaro summation for random arrays of random elements in Banach spaces. Our results are more general and stronger than some well-known ones. AMS Subject classification 2000: 60B11, 60B12, 60F05, 60G42.

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Bibliographic Details
Main Authors: Tran, Manh Cuong, Ta, Cong Son
Format: Article
Language:English
Published: H.: ĐHQGHN 2015
Subjects:
Online Access:http://repository.vnu.edu.vn/handle/VNU_123/4298
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Institution: Vietnam National University, Hanoi
Language: English
Description
Summary:In this paper, we establish weak laws of large numbers with or without random indices for Cesaro summation for random arrays of random elements in Banach spaces. Our results are more general and stronger than some well-known ones. AMS Subject classification 2000: 60B11, 60B12, 60F05, 60G42.