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December 2010 An imputation-based approach for parameter estimation in the presence of ambiguous censoring with application in industrial supply chain
Samiran Ghosh
Ann. Appl. Stat. 4(4): 1976-1999 (December 2010). DOI: 10.1214/10-AOAS348

Abstract

This paper describes a novel approach based on “proportional imputation” when identical units produced in a batch have random but independent installation and failure times. The current problem is motivated by a real life industrial production–delivery supply chain where identical units are shipped after production to a third party warehouse and then sold at a future date for possible installation. Due to practical limitations, at any given time point, the exact installation as well as the failure times are known for only those units which have failed within that time frame after the installation. Hence, in-house reliability engineers are presented with a very limited, as well as partial, data to estimate different model parameters related to installation and failure distributions. In reality, other units in the batch are generally not utilized due to lack of proper statistical methodology, leading to gross misspecification. In this paper we have introduced a likelihood based parametric and computationally efficient solution to overcome this problem.

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Samiran Ghosh. "An imputation-based approach for parameter estimation in the presence of ambiguous censoring with application in industrial supply chain." Ann. Appl. Stat. 4 (4) 1976 - 1999, December 2010. https://doi.org/10.1214/10-AOAS348

Information

Published: December 2010
First available in Project Euclid: 4 January 2011

zbMATH: 1220.62123
MathSciNet: MR2829943
Digital Object Identifier: 10.1214/10-AOAS348

Keywords: Censoring , imputation , maximum likelihood estimation , proportional sampling , reliability

Rights: Copyright © 2010 Institute of Mathematical Statistics

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Vol.4 • No. 4 • December 2010
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