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Optimal Estimators for Threshold-Based Quality Measures
Joint Authors
Abrams, Aaron
Zaslow, Eric
Ganzell, Sandy
Landau, Henry
Landau, Zeph
Pommersheim, James
Source
Journal of Probability and Statistics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-22
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider a problem in parametric estimation: given n samples from an unknown distribution, we want to estimate which distribution, from a given one-parameter family, produced the data.
Following Schulman and Vazirani (2005), we evaluate an estimator in terms of the chance of being within a specified tolerance of the correct answer, in the worst case.
We provide optimal estimators for several families of distributions on ℝ.
We prove that for distributions on a compact space, there is always an optimal estimator that is translation invariant, and we conjecture that this conclusion also holds for any distribution on ℝ.
By contrast, we give an example showing that, it does not hold for a certain distribution on an infinite tree.
American Psychological Association (APA)
Abrams, Aaron& Ganzell, Sandy& Landau, Henry& Landau, Zeph& Pommersheim, James& Zaslow, Eric. 2010. Optimal Estimators for Threshold-Based Quality Measures. Journal of Probability and Statistics،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-495972
Modern Language Association (MLA)
Abrams, Aaron…[et al.]. Optimal Estimators for Threshold-Based Quality Measures. Journal of Probability and Statistics No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-495972
American Medical Association (AMA)
Abrams, Aaron& Ganzell, Sandy& Landau, Henry& Landau, Zeph& Pommersheim, James& Zaslow, Eric. Optimal Estimators for Threshold-Based Quality Measures. Journal of Probability and Statistics. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-495972
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495972