Q2 Let X1,..., Xn be independent with pdfs fx,(1|0) T = min;(X;/i) is a sufficient statistic for 0. Based on T, find the 1- a confidence interval for 0 of the form T+a,T+ b] which is of minimum length. et0- I s0,00) (x). Prove that 18-I %3D 15

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et0-* Ii40,00) (x). Prove that
Let X1,..., X, be independent with pdfs fx,(x|0)
T = min;(X;/i) is a sufficient statistic for 0. Based on T, find the 1- a confidence
interval for 0 of the form [T+ a, T + b] which is of minimum length.
15
Dr. Asieh Abtahi - Faculty of Mathematics and Statistics -
Islamic Azad University of Shiraz - Iran
Transcribed Image Text:Q2 et0-* Ii40,00) (x). Prove that Let X1,..., X, be independent with pdfs fx,(x|0) T = min;(X;/i) is a sufficient statistic for 0. Based on T, find the 1- a confidence interval for 0 of the form [T+ a, T + b] which is of minimum length. 15 Dr. Asieh Abtahi - Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz - Iran
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