= statistic Y = X a sufficient statistic for 0? Why? (y; 0) be the pdf of Y. Is the family {fy (y; 0): 0 >0} complete? Why?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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7.4.7. Let X have the pdf fx (x; 0) = 1/(20), for -0<x<0, zero elsewhere, where
0 >0.
(a) Is the statistic Y X a sufficient statistic for 0? Why?
(b) Let fy (y; 0) be the pdf of Y. Is the family {fy (y; 0): 0 >0} complete? Why?
Transcribed Image Text:7.4.7. Let X have the pdf fx (x; 0) = 1/(20), for -0<x<0, zero elsewhere, where 0 >0. (a) Is the statistic Y X a sufficient statistic for 0? Why? (b) Let fy (y; 0) be the pdf of Y. Is the family {fy (y; 0): 0 >0} complete? Why?
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