Suppose that Y₁, Y₂,..., Y, is a random sample from a probability density function in the (one-parameter) exponential family so that [a(0)b(y)e-le®)d(y)], a ≤ y ≤ b, f(y10) = 0, elsewhere, where a and b do not depend on 9. Show that Σd(Y) is sufficient for 0.
Suppose that Y₁, Y₂,..., Y, is a random sample from a probability density function in the (one-parameter) exponential family so that [a(0)b(y)e-le®)d(y)], a ≤ y ≤ b, f(y10) = 0, elsewhere, where a and b do not depend on 9. Show that Σd(Y) is sufficient for 0.
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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![Suppose that Y₁, Y₂,..., Y is a random sample from a probability density function in the
(one-parameter) exponential family so that
[a(0)b(y)e-[c(Ⓒ)d(y)], a ≤ y ≤ b,
f(y10) =
0,
elsewhere,
where a and b do not depend on 9. Show that Σd(Y) is sufficient for 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c35a60d-d5dd-48d0-b6a5-74beed3d2172%2Fef0f463f-ca92-45fb-9cd8-11b9b70473ba%2Fo0ab85w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that Y₁, Y₂,..., Y is a random sample from a probability density function in the
(one-parameter) exponential family so that
[a(0)b(y)e-[c(Ⓒ)d(y)], a ≤ y ≤ b,
f(y10) =
0,
elsewhere,
where a and b do not depend on 9. Show that Σd(Y) is sufficient for 0.
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