J(y|0) 20 where 0 >0 is a parameter. Use the pivotal method to verify that if 0 < a < 1, then Y Y a/2' Va/2 is a confidence interval for 0 with coverage probability 1 – a.

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Consider a random variable Y with density function
f(y|0) = 20-2y, 0<y<O
0 < y sO
where 0 > 0 is a parameter. Use the pivotal method to verify that if 0 < a < 1, then
Y
Y
V1– a/2' Va/2
is a confidence interval for 0 with coverage probability 1 – a.
2.
Transcribed Image Text:Consider a random variable Y with density function f(y|0) = 20-2y, 0<y<O 0 < y sO where 0 > 0 is a parameter. Use the pivotal method to verify that if 0 < a < 1, then Y Y V1– a/2' Va/2 is a confidence interval for 0 with coverage probability 1 – a. 2.
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