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On Some Questions Related to the Joint Distribution of Functionally Dependent Random Variables

โœ Scribed by Saltykova, Z. N.


Book ID
118227733
Publisher
Society for Industrial and Applied Mathematics
Year
1971
Tongue
English
Weight
545 KB
Volume
16
Category
Article
ISSN
0040-585X

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approximation and various other sequential procedures, the question of whether suplD~(t) I ---, 0 a.s. (1) t arises. For each t, D,(t) converges to 0 a.s., and by the Glivenko-Cantelli theorem (1) holds if {Y,} is i.i.d. We give an example showing that without the assumption of independence (1) mig