Let Y₁, Y2Yn denote a random sample from the probability density function (e-(y-e), yz0₁ 1- {6-(x-1), f(y10) = Show that Y(1) elsewhere. fly 10) = = min(Y1, Y2Y) is sufficient for 8. (Let u = y.) /= 1 Define the indicator function to specify the support of y, for a
Let Y₁, Y2Yn denote a random sample from the probability density function (e-(y-e), yz0₁ 1- {6-(x-1), f(y10) = Show that Y(1) elsewhere. fly 10) = = min(Y1, Y2Y) is sufficient for 8. (Let u = y.) /= 1 Define the indicator function to specify the support of y, for a
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Let Y₁, Y2, Yn denote a random sample from the probability density function
...P
f(y10) =
Se-(y-0), y ≥ 0,
f(yle).
- {67
elsewhere.
Show that Y(1) = min(Y₁, Y₂Y) is sufficient for 8.
M
Define the indicator function to specify the support of y, for a <b, Ia, b(y)
FREE
([
) ¹a, «(V).
(y). The likelihood function is L(0) -
(C
Ja, ((1)) and h(y) =
(Let u = [y.)
= 1
Y(1) is sufficient for 0 with g(y(1), 0) =
if a ≤ y ≤ b
otherwise
X
Using the indicator notation, the density is
II
13, 6(x₁) = (
)Ja,
ra, ((1)). Thus,
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