Exercise: Let X1, X2, X3 be a sample of size 3 from the Bernoulli distribution. Consider the two statistics S= (X1, X2, X3) = X1 + X2 + X3 andT= (X1, X2, X3) = X, X2 + X3. (, , ) is sufficient and (, ,) is not. || show that
Exercise: Let X1, X2, X3 be a sample of size 3 from the Bernoulli distribution. Consider the two statistics S= (X1, X2, X3) = X1 + X2 + X3 andT= (X1, X2, X3) = X, X2 + X3. (, , ) is sufficient and (, ,) is not. || show that
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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![Exercise:
Let X1, X2, X3 be a sample of size 3 from the Bernoulli
distribution. Consider the two statistics S= (X1, X2, X3) = X1
+ X2 + X3 and T = t(X1, X2, X3) = X, X2 + X3.
(, , ) is sufficient and (, , ) is not.
%3D
show that
%D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e545c62-0524-42bc-9bfe-ba83160ce7ba%2F2c667005-466b-4c09-842f-76fd232ce020%2F44zbdw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise:
Let X1, X2, X3 be a sample of size 3 from the Bernoulli
distribution. Consider the two statistics S= (X1, X2, X3) = X1
+ X2 + X3 and T = t(X1, X2, X3) = X, X2 + X3.
(, , ) is sufficient and (, , ) is not.
%3D
show that
%D
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