The Annals of Statistics
- Ann. Statist.
- Volume 33, Number 2 (2005), 463-500.
Selecting likelihood weights by cross-validation
The (relevance) weighted likelihood was introduced to formally embrace a variety of statistical procedures that trade bias for precision. Unlike its classical counterpart, the weighted likelihood combines all relevant information while inheriting many of its desirable features including good asymptotic properties. However, in order to be effective, the weights involved in its construction need to be judiciously chosen. Choosing those weights is the subject of this article in which we demonstrate the use of cross-validation. We prove the resulting weighted likelihood estimator (WLE) to be weakly consistent and asymptotically normal. An application to disease mapping data is demonstrated.
Ann. Statist., Volume 33, Number 2 (2005), 463-500.
First available in Project Euclid: 26 May 2005
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Wang, Xiaogang; Zidek, James V. Selecting likelihood weights by cross-validation. Ann. Statist. 33 (2005), no. 2, 463--500. doi:10.1214/009053604000001309. https://projecteuclid.org/euclid.aos/1117114325