Title: Point Estimator for the Maximum

A student asked a colleague of mine if the sample maximum was the best point estimator of the population maximum.  While I was tempted to say yes, the idea that this must surely be a biased under-estimator came to mind.  Can someone answer the problem and point me to a source?

Thank you
Howard
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|  Howard S. Kaplon     |  Department of Mathematics  |
|  Phone: 410-704-3087  |  Towson University          |
|    FAX: 410-704-4149  |  8000 York Road             |
|                       |  Towson, Maryland  21252    |
|                       |  United States of America   |
|                                                     |
|          E-mail: [EMAIL PROTECTED]                 |
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