A method to derive strong laws of large numbers for random upper semicontinuous functions

In this paper, we suggest a new method which is useful to study convergences of certain random upper semicontinuous elements by taking advantages of some well-known results concerning random cadlag functions. The suggested method is applied in the paper to developed strong laws of large numbers.

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Bibliographic Details
Published in:Statistics & probability letters 2001-06, Vol.53 (3), p.269-275
Main Authors: Colubi, Ana, Santos Domı́nguez-Menchero, J., López-Dı́az, Miguel, Körner, Ralf
Format: Article
Language:English
Subjects:
1]-valued random element Random upper semicontinuous function Fuzzy random variable Strong laws of large numbers
Cadlag function
Cadlag function D[0
D[0,1]-valued random element
Exact sciences and technology
Fuzzy random variable
Geometric probability. Stochastic geometry. Random sets
Limit theorems
Mathematical analysis
Mathematics
Measure and integration
Probability and statistics
Probability theory and stochastic processes
Probability theory on algebraic and topological structures
Random upper semicontinuous function
Sciences and techniques of general use
Strong laws of large numbers
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Description
Summary:In this paper, we suggest a new method which is useful to study convergences of certain random upper semicontinuous elements by taking advantages of some well-known results concerning random cadlag functions. The suggested method is applied in the paper to developed strong laws of large numbers.
ISSN:0167-7152
1879-2103
DOI:10.1016/S0167-7152(01)00057-8