1. Suppose that X1, X2, ..., Xn are i.i.d. random variables with one of two p.d.f.'s. If 0 = 0 then 1 f(x|0) = if 0 < x < 1 0 otherwise, while if 0 = 1, then S1/(2/) if 0 < x < 1 f (x|0) = otherwise. Find the m.l.e. of 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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1. Suppose that X1, X2, ..., X, are i.i.d. random variables with one of two p.d.f.'s. If 0 = 0 then
1 if 0 <x < 1
0 o therwise,
f (x|0)
while if 0
1,
then
S1/(2/T) if 0 < x < 1
f(x|0) =
otherwise.
Find the m.l.e. of 0.
Transcribed Image Text:1. Suppose that X1, X2, ..., X, are i.i.d. random variables with one of two p.d.f.'s. If 0 = 0 then 1 if 0 <x < 1 0 o therwise, f (x|0) while if 0 1, then S1/(2/T) if 0 < x < 1 f(x|0) = otherwise. Find the m.l.e. of 0.
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