Let Y 1 Y 2 Y n be the order statistics of a random sample of size n from a distribution with pdf where 1 and 0 2 Find the joint minimal sufficient statistics for 1 and 2 f(x 01,02) (1 ) e (2 01) 02 e (x 01) 02 (0,00) (2),...

The joint minimal sufficient statistics for 1 and 2 are the sample mean and sample varianc ...

Let Y 1 < Y 2 < < Y n be the order statistics

Question:

Let Y₁ < Y₂ < · · · < Y_n be the order statistics of a random sample of size n from a distribution with pdf

where −∞ < θ₁ < ∞ and 0 < θ₂ < ∞. Find the joint minimal sufficient statistics for θ₁ and θ₂.

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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Question Posted: Oct 17, 2022 04:11 AM

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Let Y 1 < Y 2 < < Y n be the order statistics

Question:

f(x; 01,02) = = (1/²-) Ⓡ | e-(2-01)/ 02 e-(x-01)/02 (0₁,00) (2),

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The joint minimal sufficient statistics for 1 and 2 are the sample mean and sample varianc...View the full answer

Introduction To Mathematical Statistics

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