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Variance estimation for Brier Score decomposition
Variance estimation Brier Score decomposition
2013/4/28
The Brier Score is a widely-used criterion to assess the quality of probabilistic predictions of binary events. The expectation value of the Brier Score can be decomposed into the sum of three compone...
Variance estimation and asymptotic confidence bands for the mean estimator of sampled functional data with high entropy unequal probability sampling designs
covariance function finite population Hajek approximation Horvitz-Thompso estimator Kullback-Leibler divergence rejective sampling unequal probability sampling without replacement
2012/11/23
For fixed size sampling designs with high entropy it is well known that the variance of the Horvitz-Thompson estimator can be approximated by the H\'ajek formula. The interest of this asymptotic varia...
On minimum bias and variance estimation for parametric models with shrinking contamination
minimum bias and variance estimation parametric models shrinking contamination
2009/9/24
A close relationship is derived between optimal Mestimation
and optimal robust testing for shrinking contaminations.
Explicit formulas are given for solutions when the loss is defined as
convex com...