Let Y1,..., Yn denote a random sample from the density function given by1fy (yla, 0) =ya-le-% for y > 0,%3Dr(a)0awhere a> 0 is known and IT(-) is the gamma function.Find the MLE of 0.

Given, Y1,Y2,..Yn be the random sample and the gamma distribution function is,…

Answered: Let Y1,...,Yn denote a random sample…

Let Y1,...,Yn denote a random sample from the density function given by fr (vla, 0) 1 ya-le- for y> 0, %3D r(a)0a where a > 0 is known and I'(-) is the gamma function. Find the MLE of 0.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let Y1,..., Yn denote a random sample from the density function given by
1
fy (yla, 0) =
ya-le-% for y > 0,
%3D
r(a)0a
where a> 0 is known and IT(-) is the gamma function.
Find the MLE of 0.

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