If X₁, X2, ..., Xn constitute a random sample of size n from an exponential population, show that X is a sufficient estimator of the parameter 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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If X₁, X2,..., Xn constitute a random sample of
size n from an exponential population, show that X is a
sufficient estimator of the parameter 0.
Transcribed Image Text:If X₁, X2,..., Xn constitute a random sample of size n from an exponential population, show that X is a sufficient estimator of the parameter 0.
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