Exercise 4 (#5.6). Find an example of cumulative distribution functions G, G1, G2,.. on R such that (i) lim, l∞(Gn, G) is the distance defined in Exercise 1 and 0. is the sup-norm distance 0 but OM, (Gn,G) does not converge to 0, where Ом, defined as o.(F,G) = sup, |F(x) – G(x)| for any cumulative distribution functions F and G; (ii) limn QM. (Gn,G) = 0 but o (Gn, G) does not converge to 0. %3D
Exercise 4 (#5.6). Find an example of cumulative distribution functions G, G1, G2,.. on R such that (i) lim, l∞(Gn, G) is the distance defined in Exercise 1 and 0. is the sup-norm distance 0 but OM, (Gn,G) does not converge to 0, where Ом, defined as o.(F,G) = sup, |F(x) – G(x)| for any cumulative distribution functions F and G; (ii) limn QM. (Gn,G) = 0 but o (Gn, G) does not converge to 0. %3D
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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