Mosco convergence of SLLN for triangular arrays of rowwise independent random sets

In this paper, we state several convergence results with respect to the Mosco topology of strong laws of large numbers for triangular arrays of rowwise independent random sets in a separable Banach space of type p(1<p≤2). We also provide some typical examples illustrating this study.

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Bibliographic Details
Published inStatistics & probability letters Vol. 83; no. 4; pp. 1117 - 1126
Main Authors Quang, Nguyen Van, Giap, Duong Xuan
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2013
Subjects
Banach space of type [formula omitted]
Mosco convergence
Random set
Strong law of large numbers
Triangular array
28B20
Strong law of large numbers
Banach space of type p
60B12
Triangular array
Random set
Mosco convergence
60F15
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Summary:In this paper, we state several convergence results with respect to the Mosco topology of strong laws of large numbers for triangular arrays of rowwise independent random sets in a separable Banach space of type p(1<p≤2). We also provide some typical examples illustrating this study.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2012.12.030