Law of the Large Numbers for Random Functions with two Variables
published by Tishreen University
in 2013
in
and research's language is
العربية
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Abstract in English
In this research we will find a law of the large numbers for random convex – concave closed functions, and generalize some results related to lower semi- continuous functions to similar results concerning the convex– concave functions, and that will be done with using the parent convex functions and the Mosco-epi \ hypo-convergence.
References used
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ARTSTEIN,Z.; VITALE,R.A. : A strong law of large numbers for random compact sets, The Annals of Probability, vol. 3, no. 5(1975), 879–882
ATTOUCH, H. : Variational convergence for functions and operators, Pitman, London, 1984, 420