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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.)

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
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.)
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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