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Kolmogorov-Smimov statistic given by D₂ sup| F(x)-S₂(x) | x 1. The two sided I where F(x) is a continuous population cumulative distribution function and S, (x) is the empirical distribution function Prove that D, is completely distribution free

Kolmogorov-Smimov statistic given by D₂ sup| F(x)-S₂(x) | x 1. The two sided I where F(x) is a continuous population cumulative distribution function and S, (x) is the empirical distribution function Prove that D, is completely distribution free

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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1 The two sided Kolmogorov-Smimov statistic given by sup D = F(x)-5,(x)| where F(x) is a continuous population cumulative distribution function and S,(x) is the empirical distribution function Prove that D, is .completely distribution free
Transcribed Image Text:1 The two sided Kolmogorov-Smimov statistic given by sup D = F(x)-5,(x)| where F(x) is a continuous population cumulative distribution function and S,(x) is the empirical distribution function Prove that D, is .completely distribution free
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