Hi had this question on my last "Statistical Inference" exam. And I still have some doubts about it. I determined that the maximum likelihood estimator of an Uniform distribution U(0,k) is equal to the maximum value observed in the sample. That is correct. So say my textbooks. After that the bias of the estimator was demanded. And to determine the bias I need to determine its expectation first. And I am not sure if its expectation is equal to k or k/2(adsbygoogle = window.adsbygoogle || []).push({});

Is there any kind soul who can help?

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Expectation of an Uniform distribution maximum likelihood estimator

**Physics Forums | Science Articles, Homework Help, Discussion**