p.d.f. f(z;8) = e-(-9) I(0,00) (). Here we use the indicator function of set A defined by IA(2) = 1, when a € A, zero, elsewhere. Let Yı be the first order statistic and let Y3 be the third order statistic. Then,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Let X1, X2, X3 be a random sample from a distribution with
p.d.f. f(x; 8) = e-(-0) I(8,00) (). Here we use the indicator
function of set A defined by I4(æ) = 1, when a E A, zero,
elsewhere. Let Y be the first order statistic and let Y be the
third order statistic. Then,
Select one:
O a. Y is sufficient and Y is sufficient.
O b. Y is sufficient and Y is not sufficient.
O c. Y is not sufficient and Y, is not sufficient.
O d. Y, is not sufficient and Y, is sufficient.
Transcribed Image Text:Let X1, X2, X3 be a random sample from a distribution with p.d.f. f(x; 8) = e-(-0) I(8,00) (). Here we use the indicator function of set A defined by I4(æ) = 1, when a E A, zero, elsewhere. Let Y be the first order statistic and let Y be the third order statistic. Then, Select one: O a. Y is sufficient and Y is sufficient. O b. Y is sufficient and Y is not sufficient. O c. Y is not sufficient and Y, is not sufficient. O d. Y, is not sufficient and Y, is sufficient.
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