Question: Let X1, X2, . . . , Xn represent a random sample from the Rayleigh distribution with density function given in Exercise 15. Determine a.

Let X1, X2, . . . , Xn represent a random sample from the Rayleigh distribution with density function given in Exercise 15.

Determine

a. The maximum likelihood estimator of , and then calculate the estimate for the vibratory stress data given in that exercise. Is this estimator the same as the unbiased estimator suggested in Exercise 15?

b. The mle of the median of the vibratory stress distribution. [Hint: First express the median in terms of .]

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