4. Let the common PDF be the folded normal distribution 2 exp 1 2 (x)2...
Question:
4. Let the common PDF be the folded normal distribution
2
π
exp
−1 2
(x−μ)2
I[μ,∞)(x).
Verify that the best equivariant estimator of μ under quadratic loss is given by
ˆμ = X− exp{−n2
(X(1)
−X)2}
√
2nπ
) √
n(X(1)
−X)
0
√1 2π
exp(−z2/2)dz
*.
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Related Book For
An Introduction To Probability And Statistics
ISBN: 9781118799642
3rd Edition
Authors: Vijay K. Rohatgi, A. K. Md. Ehsanes Saleh
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