8.12 Let X₁,..., Xn be i.i.d. with density Ce-, f(x 01,02) = [C₁₂², ifa 20 if x < 0 a) Calculate the constant C so that the pdf is a proper pdf. b) Calculate the MLEs of 01 and 02.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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8.12
Let X₁,..., Xn be i.i.d. with density
Ce-,
f(x 01,02) =
[C₁₂²,
ifa 20
if x < 0
a) Calculate the constant C so that the pdf is a proper pdf.
b) Calculate the MLEs of 01 and 02.
Transcribed Image Text:8.12 Let X₁,..., Xn be i.i.d. with density Ce-, f(x 01,02) = [C₁₂², ifa 20 if x < 0 a) Calculate the constant C so that the pdf is a proper pdf. b) Calculate the MLEs of 01 and 02.
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