A random sample, X1,..., Xn, is drawn from a Pareto population with pdf (a) Find the MLEs
Question:
(a) Find the MLEs of θ and v.
(b) Show that the LRT of
H0: θ = 1, v unknown, versus H1: θ 1, v unknown,
has critical region of the form {x: T(x) ¤ c1 or T(x) > C2}, where 0
(c) Show that, under Ho, 2T has a chi squared distribution, and find the number of degrees of freedom.
Transcribed Image Text:
θνθ Tn Пх,
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a The loglikelihood is where x 1 mini xi For any value of this is an increasing function of v for v ...View the full answer
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