A sample of size 1 is drawn from the uniform pdf defined over the interval [0, theta]. Find an unbiased estimator for theta^2. Hint: is theta hat = Y^2 unbiased?
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A sample of size 1 is drawn from the uniform pdf defined over the interval [0, theta]. Find an unbiased estimator for theta^2. Hint: is theta hat = Y^2 unbiased?
Use the hint!Quote:
Originally Posted by eigenvector11
therefore
therefore
is an unbiased estimator for
.
I leave it to you to get the value of k by solving an appropriate integral.