I have given some serious effort to working out and understanding the MLE of a distribution. From the distribution f(x;[tex]\theta[/tex])= [tex]x^{3}[/tex][tex]e^{-x/\theta}[/tex]/(6[tex]\theta[/tex][tex]^{4}[/tex]), I have gotten the MLE theta-hat = xbar/4(adsbygoogle = window.adsbygoogle || []).push({});

I have a lot of difficulty figuring out if it is an unbiased estimator or not. How do I determine the expected value of theta-hat?

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# Unbiased estimator/MSE from a Gamma dist.

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