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

a. It can be shown that E(X2) = 2θ. Use this fact to construct an unbiased estimator of θ based on ΣXi2 (and use rules of expected value to show that it is unbiased).
b. Estimate u from the following n = 10 observations on vibratory stress of a turbine blade under specified conditions:

Transcribed Image Text:

e-r/(29) x>0 16.88 10.23 4.59 6.66 13.68 14.23 19.87 940 6.5 10.95