A random variable X₁,..., X comes from a uniform distribution population U(0,0) with unknown 0. The data are given to the right. Suppose the prior distribution has density given below. Determine the Bayes estimator under the absolute-error loss function. 0.11 1.16 1.67 1.75 0.94 0.52 2.16 0.34 1.22 0.19 1.58 1.18 0.74 0.01 0.49 1.01 0.48 1.03 0.83 0.99 1 0> 1, л(0) = 0, 0≤1. The Bayes estimator under the absolute-error loss function is (Round to two decimal places as needed.)
A random variable X₁,..., X comes from a uniform distribution population U(0,0) with unknown 0. The data are given to the right. Suppose the prior distribution has density given below. Determine the Bayes estimator under the absolute-error loss function. 0.11 1.16 1.67 1.75 0.94 0.52 2.16 0.34 1.22 0.19 1.58 1.18 0.74 0.01 0.49 1.01 0.48 1.03 0.83 0.99 1 0> 1, л(0) = 0, 0≤1. The Bayes estimator under the absolute-error loss function is (Round to two decimal places as needed.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 19E
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![A random variable X₁,..., X comes from a uniform distribution population
U(0,0) with unknown 0. The data are given to the right. Suppose the prior
distribution has density given below. Determine the Bayes estimator under
the absolute-error loss function.
0.11 1.16 1.67 1.75 0.94
0.52 2.16 0.34 1.22 0.19
1.58 1.18 0.74 0.01 0.49
1.01 0.48 1.03 0.83 0.99
1
0> 1,
л(0) =
0,
0≤1.
The Bayes estimator under the absolute-error loss function is
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F498aff6c-cca8-4af1-8ada-5dba15745c91%2F686a4170-552b-4298-b57e-b3c1a14f92f8%2Fiikt6jt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random variable X₁,..., X comes from a uniform distribution population
U(0,0) with unknown 0. The data are given to the right. Suppose the prior
distribution has density given below. Determine the Bayes estimator under
the absolute-error loss function.
0.11 1.16 1.67 1.75 0.94
0.52 2.16 0.34 1.22 0.19
1.58 1.18 0.74 0.01 0.49
1.01 0.48 1.03 0.83 0.99
1
0> 1,
л(0) =
0,
0≤1.
The Bayes estimator under the absolute-error loss function is
(Round to two decimal places as needed.)
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