9.73 The absolute errors in the measuring of the diameters of steel rods are uniformly distributed between

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9.73 The absolute errors in the measuring of the diameters of steel rods are uniformly distributed between zero and . There such measurements on a standard rod produced errors of 0.02, 0.06, and 0.05 centimeter. What is the maximum likelihood estimate of ? [Hint: This problem cannot be solved by differentiation. Write down the likelihood, L( ), for three independent measurements and think carefully about what value of produces a maximum. Remember, each measurement must be between zero and .]

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Probability And Statistics For Engineers

ISBN: 9781133006909

5th Edition

Authors: Richard L Scheaffer, Madhuri Mulekar, James T McClave, Cecie Starr

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