Appropriate and Inappropriate Estimation Techniques
David Sher
Abstract:
Mode {also called MAP} estimation, mean estimation and median estimation are examined here to determine when they can be safely used to derive {posterior) cost minimizing estimates. (These are all Bayes procedures, using the mode. mean. or median of the posterior distribution). It is found that modal estimation only returns cost minimizing estimates when the cost function is 0t. If the cost function is a function of distance then mean estimation only returns cost minimizing estimates when the cost function is squared distance from the true value and median estimation only returns cost minimizing estimates when the cost function ts the distance from the true value. Results are presented on the goodness or modal estimation with non 0t cost functions
Keywords:
Pages: 261266
PS Link:
PDF Link: /papers/86/p261sher.pdf
BibTex:
@INPROCEEDINGS{Sher86,
AUTHOR = "David Sher
",
TITLE = "Appropriate and Inappropriate Estimation Techniques",
BOOKTITLE = "Proceedings of the Second Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI86)",
PUBLISHER = "AUAI Press",
ADDRESS = "Corvallis, Oregon",
YEAR = "1986",
PAGES = "261266"
}

