Extremum sieve estimation in k-out-of-n systems

Tatiana Komarova

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: The paper considers nonparametric estimation of absolutely continuous distribution functions of lifetimes of non-identical components in k-out-of-n systems from the observed “autopsy” data. In economics,ascending “button” or “clock” auctions with n heterogeneous bidders present 2-out-of-n systems. Classical competing risks models are examples of n-out-of-n systems. Under weak conditions on the underlying distributions the estimation problem is shown to be well-posed and the suggested extremum sieve estimator is proven to be consistent. The paper illustrates the suggested estimation method by using sieve spaces of Bernstein polynomials which allow an easy implementation of constraints on the monotonicity of estimated distribution functions.

Keywords: k-out-of-n systems; competing risks; sieve estimation; Bernstein polynomials (search for similar items in EconPapers)
JEL-codes: J1 (search for similar items in EconPapers)
Pages: 19 pages
Date: 2013-07
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://eprints.lse.ac.uk/58074/ Open access version. (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:58074

Access Statistics for this paper

More papers in LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library LSE Library Portugal Street London, WC2A 2HD, U.K.. Contact information at EDIRC.
Bibliographic data for series maintained by LSERO Manager ().