Show that a gamma pdf has the unique mode r 1 that is, show that the function f Y (y) r (r)y r1 e y takes its maximum value at y mode r1 and at no other point ...

To find the maximum of the function f y yr r yr 1 e y di ...

Show that a gamma pdf has the unique mode r 1/; that is, show that the

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Show that a gamma pdf has the unique mode r − 1/λ; that is, show that the function f_Y(y) = λ^r/ Г(r)y^r−1e^−λy takes its maximum value at y_mode = r−1/λ and at no other point.

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Introduction To Mathematical Statistics And Its Applications

ISBN: 9780321693945

5th Edition

Authors: Richard J. Larsen, Morris L. Marx

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Question Posted: Dec 20, 2015 03:30 AM

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Show that a gamma pdf has the unique mode r 1/; that is, show that the

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Introduction To Mathematical Statistics And Its Applications

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