Let Y1, Y2,...,Y, denotes a random sample from the uniform distribution on the interval (0,0 + 1). Let 0, =Y - 2 1 and 2 = Y(m) - %3D n+1 Show that both 0, and 02 are consistent estimators for 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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se 3
Let Y1, Y2,..., Yn denotes a random sample from the uniform distribution on the
interval (0,0 + 1). Let
Ô = Y -2
and 02 =Y(n)-
n+1
%3D
Show that both 6, and 02 are consistent estimators for 0.
Transcribed Image Text:se 3 Let Y1, Y2,..., Yn denotes a random sample from the uniform distribution on the interval (0,0 + 1). Let Ô = Y -2 and 02 =Y(n)- n+1 %3D Show that both 6, and 02 are consistent estimators for 0.
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