2) Let X₁, X₂, X3, X4 be a random sample of size 4 from a population with the following distribution function f(x;0)=B 40 for x > 4 otherwise Where, ß > 0. a) If f(x;0) a member of one-parameter regular exponential family. What are the functions h(x),c(0), w(0) and t(x). b) Find the maximum likelihood estimator of the parameter B. c) If the data from this random sample are 8.2, 9.1, 10.6 and 4.9, respectively, what is the maximum likelihood estimate of B?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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2) Let X₁, X2, X3, X4 be a random sample of size 4 from a population with the following
distribution function
f(x;0)=B
(x-4)
for x > 4
otherwise
Where, ß > 0.
a) If f(x; 0) a member of one-parameter regular exponential family. What are the
functions h(x), c(0), w (0) and t(x).
b)
Find the maximum likelihood estimator of the parameter B.
c) If the data from this random sample are 8.2, 9.1, 10.6 and 4.9, respectively, what
is the maximum likelihood estimate of B?
Transcribed Image Text:2) Let X₁, X2, X3, X4 be a random sample of size 4 from a population with the following distribution function f(x;0)=B (x-4) for x > 4 otherwise Where, ß > 0. a) If f(x; 0) a member of one-parameter regular exponential family. What are the functions h(x), c(0), w (0) and t(x). b) Find the maximum likelihood estimator of the parameter B. c) If the data from this random sample are 8.2, 9.1, 10.6 and 4.9, respectively, what is the maximum likelihood estimate of B?
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