47. Let X1, X2, ., Xn be a sample from any population with parameter 0 and T, and T2,n be any two proposed estimators for 0. If for all O's Var(T,m) < Var(T2,n), which one of the following is true? a) T1m is more efficient than T2n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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47. Let X1, X2, .., X, be a sample from any population with parameter 0 and T,n and T2,n be any
two proposed estimators for 0. If for all 0's Var(T,,n)< Var(T2n), which one of the following
is true?
a) T1n is more efficient than T2,n
b) T1n is consistent
c) T2n is consistent
d) T1n is UMVUE for 0
e) The bias of T1n is less than the bias of T2,n
Transcribed Image Text:47. Let X1, X2, .., X, be a sample from any population with parameter 0 and T,n and T2,n be any two proposed estimators for 0. If for all 0's Var(T,,n)< Var(T2n), which one of the following is true? a) T1n is more efficient than T2,n b) T1n is consistent c) T2n is consistent d) T1n is UMVUE for 0 e) The bias of T1n is less than the bias of T2,n
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