Show that in Example 6.12.1, (i) the confidence sets 2/S2 A with A given by (6.45)
Question:
Show that in Example 6.12.1,
(i) the confidence sets σ2/S2 ∈ A∗∗ with A∗∗ given by (6.45) coincide with the uniformly most accurate unbiased confidence sets for σ2;
(ii) if
(a,
b) is best with respect to (6.44) for σ, then (ar, br) is best for σr (r > 0).
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Related Book For
Testing Statistical Hypotheses Volume I
ISBN: 9783030705770
4th Edition
Authors: E.L. Lehmann, Joseph P. Romano
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