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The Regularity of Conditional Probabilities for Stochastic Processes

✍ Scribed by Krylov, N. V.


Book ID
118226690
Publisher
Society for Industrial and Applied Mathematics
Year
1973
Tongue
English
Weight
372 KB
Volume
18
Category
Article
ISSN
0040-585X

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## Abstract Let __X~a,b~__ be nonnegative random variables with the property that __X~a,b~ ≦ X~a,c~ + X~c.b~__ for all 0__≦ a < c < b ≦ T__, where __T >__ 0 is fixed. We define __M~a,b~ =__ sup {__X~a,c~: a < c ≦ h__} and establish bounds for __P__[__M~a,b~ ≧ Ξ»__] in terms of given bounds for __P[X