Question: Let X1, X2, . . . , Xn represent a random sample from a Rayleigh distribution with pdf a. It can be shown that E(X2

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

a. It can be shown that E(X2

) 2 . Use this fact to construct an unbiased estimator of based on (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:

16.88 10.23 4.59 6.66 13.68 14.23 19.87 9.40 6.51 10.95

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