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Consider the following continuous probability density function with unknown population parameter 0. 2.) for 2 x+oo...

Question:

Consider the following continuous probability density function with unknown population parameter 0. 2.) for 2 x+oo fx)= Ө (х

Consider the following continuous probability density function with unknown population parameter 0. 2.) for 2 x+oo fx)= Ө (х — 1) 40+1) otherwise 0 Demonstrate that Jf(x) dx = 1 (you may assume 0 > 1) Determine the maximum likelihood estimator for 0 (based on a random sample of n observations) +oo (b)

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2) f(x)= { 0C2-(64) 2 <x< oo otherwise a) Ifalda: Jacarilor de (012791 -612170. Sfcaldasi o be the maximum likelihood estim

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