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    Max Likelihood Methods (Estimators)

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    Let Y1<Y2<......<Yn be the order statistics of a random sample of size n from the uniform distribution of the continuous type over the closed interval [theta- rho, theta+ rho]. Find the maximum likelihood estimators for theta and rho. Are these two unbiased estimators?

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    6.4.5 Let Y1<Y2<......<Yn be the order statistics of a random sample of size n from the
    uniform distribution of the continuous type over the closed interval [theta- rho, theta+ rho]. Find the maximum likelihood estimators for theta and rho. Are these two unbiased estimators?

    Answers:
    MLE for theta (Y1+Yn)/2
    For rho (Yn-Y1)/2
    No

    Solution. Since Y1<Y2<......<Yn are the order statistics ...

    Solution Summary

    The expert examines max likelihood methods using estimators.

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