Let x have an exponential density (>0) de-z p(x | 0) = { 0 0 x>0 otherwise

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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1. Let x have an exponential density (0 > 0)
and
[de-oz
p(² | 0) = { 0
x 20
otherwise
a) Show that p(z | 0) is indeed a pdf function;
C
b) Suppose that n examples {x₁,..., n} are drawn independently according to
p(x 9). Show that the maximum likelihood estimate for 0 is given by
rerion function.
Ô = 1/(²ΣX=1³k)
Transcribed Image Text:1. Let x have an exponential density (0 > 0) and [de-oz p(² | 0) = { 0 x 20 otherwise a) Show that p(z | 0) is indeed a pdf function; C b) Suppose that n examples {x₁,..., n} are drawn independently according to p(x 9). Show that the maximum likelihood estimate for 0 is given by rerion function. Ô = 1/(²ΣX=1³k)
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