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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Let Y1, Y2, . . . , Yn denote a random sample of size n from a population with a uniform distribution on the interval (0, θ). Let Y(n) = max(Y1, Y2, . . . , Yn) and U = (1/θ)Y(n).
a Show that U has distribution function
                               
b Because the distribution of U does not depend on θ, U is a pivotal quantity. Find a 95% lower confidence bound for θ.
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