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

Komarova, Tatiana (2017) Extremum sieve estimation in k-out-of-n system. Communications in Statistics - Theory and Methods, 46 (10). pp. 4915-4931. ISSN 0361-0926

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Identification Number: 10.1080/03610926.2015.1091081

Abstract

The paper considers nonparametric estimation of absolutely continuous distribution functions of independent lifetimes of non-identical components in k-out-of-n systems, 2 k-out-of-n, from the observed "autopsy" data. In economics, ascending "button" or "clock" auctions with n heterogeneous bidders with independent private values 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 considers sieve spaces of Bernstein polynomials which allow to easily implement constraints on the monotonicity of estimated distribution functions.

Item Type: Article
Official URL: http://www.tandfonline.com/toc/lsta20/current
Additional Information: © 2017 Informa UK
Divisions: Economics
Subjects: H Social Sciences > HB Economic Theory
Sets: Departments > Economics
Date Deposited: 02 Jun 2017 15:58
Last Modified: 20 Mar 2019 03:15
URI: http://eprints.lse.ac.uk/id/eprint/79388

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