Suppose that the random variable Y has the Uniform(θ,2θ) distribution where θ > 0 is a parameter. Using an appropriate pivotal quantity, verify that if 0 < α (alpha) < 1,then

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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose that the random variable Y has the Uniform(θ,2θ) distribution where θ > 0 is a parameter. Using an appropriate pivotal quantity, verify that if 0 < α (alpha) < 1,then

where 0 > 0 is a parameter. Using an appropriate pivotal quantity, verify that if 0 < a < 1,
then
2Y
2Y
4 - a' 2+a
is a confidence interval for 0 with coverage probability 1 a.
Transcribed Image Text:where 0 > 0 is a parameter. Using an appropriate pivotal quantity, verify that if 0 < a < 1, then 2Y 2Y 4 - a' 2+a is a confidence interval for 0 with coverage probability 1 a.
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