Let Y,, Y2, ., Yn denote a random sample from a power family distribution with parameter 0. (@yº-1 f(yl0) = 0

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.CR: Chapter 13 Review
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Let Y,, Y2, .., Yn denote a random sample from a power family distribution with parameter 0.
(@y®-1
f(y|0) =
0<y< 3,
30
0,
elsewhere.
2.1. Show that E (Y) =
30
and derive the method of moments estimator for 0.
0+1
2.2. Show that this MoM estimator is unbiased.
Transcribed Image Text:Let Y,, Y2, .., Yn denote a random sample from a power family distribution with parameter 0. (@y®-1 f(y|0) = 0<y< 3, 30 0, elsewhere. 2.1. Show that E (Y) = 30 and derive the method of moments estimator for 0. 0+1 2.2. Show that this MoM estimator is unbiased.
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