June 2012 A note on the failure rates in finite mixed populations
Ji Hwan Cha, Massimiliano Giorgio
Author Affiliations +
J. Appl. Probab. 49(2): 405-415 (June 2012). DOI: 10.1239/jap/1339878794

Abstract

Almost all populations existing in the real world are finite populations. Specifically, in the areas relevant to lifetime modeling and analysis, finite populations are frequently encountered. However, descriptions of failure/survival patterns of elements in the finite population have not yet been properly established. In particular, it is questionable whether the ordinary failure rate can be defined for finite populations in the same way and whether the corresponding interpretations are still valid. In this paper we consider two kinds of finite mixed population and provide new definitions for their failure rates. Then we clarify the notion of failure rate in finite populations.

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Ji Hwan Cha. Massimiliano Giorgio. "A note on the failure rates in finite mixed populations." J. Appl. Probab. 49 (2) 405 - 415, June 2012. https://doi.org/10.1239/jap/1339878794

Information

Published: June 2012
First available in Project Euclid: 16 June 2012

zbMATH: 1242.90068
MathSciNet: MR2977803
Digital Object Identifier: 10.1239/jap/1339878794

Subjects:
Primary: 60E05
Secondary: 90B25

Keywords: failure rate , finite mixed population , heterogeneous population , proportion-based failure rate

Rights: Copyright © 2012 Applied Probability Trust

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Vol.49 • No. 2 • June 2012
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