15. Let X1, X2, . . . , Xn represent a random sample from a Rayleigh distribution...

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15. Let X1, X2, . . . , Xn represent a random sample from a Rayleigh distribution with pdf f(x; )

ex2/(2) x 0

a. It can be shown that E(X2

) 2. Use this fact to construct an unbiased estimator of based on X2 i (and use rules of expected value to show that it is unbiased).

b. Estimate from the following n 10 observations on vibratory stress of a turbine blade under specified conditions:

6.88 10.23 4.59 6.66 13.68 14.23 19.87 9.40 6.51 10.95

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781111802325

7th Edition

Authors: Dave Ellis, Jay L Devore

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Question Posted: Sep 16, 2024 09:01 AM

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15. Let X1, X2, . . . , Xn represent a random sample from a Rayleigh distribution...

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Probability And Statistics For Engineering And The Sciences

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