Decomposition of Kullback–Leibler risk and unbiasedness for parameter-free estimators-Reference-Cited by-同舟云学术

Decomposition of Kullback–Leibler risk and unbiasedness for parameter-free estimators

Published:2012-06 Issue:6 Volume:142 Page:1525-1536
ISSN:0378-3758
Container-title:Journal of Statistical Planning and Inference
language:en
Short-container-title:Journal of Statistical Planning and Inference

Author:

Wu Qiang,Vos Paul

Publisher

Elsevier BV

Subject

Applied Mathematics,Statistics, Probability and Uncertainty,Statistics and Probability

Reference25 articles.

1. Differential-Geometrical Methods in Statistics;Amari,1990

2. Distribution estimation consistent in total variation and in two types of information divergence;Barron;IEEE Transactions on Information Theory,1992

3. Approximation of density functions by sequences of exponential families;Barron;The Annals of Statistics,1991

4. Probability and Measures;Billingsley,1995

5. Brown, L., 1986. Fundamentals of Statistical Exponential Families. Vol. 9 of Lecture Notes – Monograph Series. Institute of Mathematical Statistics.

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