Let X 1 , X 2 , . . . , X n be a random sample
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Let X1, X2, . . . , Xn be a random sample of size n from the uniform population given by
Show that if Y1 and Yn are the first and nth order statistic, any estimator Θ such that
Can serve as a maximum likelihood estimator of θ. This shows that maximum likelihood estimators need not be unique.
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Related Book For 
John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
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