Empirical Hazard Function Using Continuous-Time Failure Data

Gang Xie; Fengfeng Li; Yong Sun; Lin Ma

doi:10.1007/978-3-319-06966-1_58

Back

Empirical Hazard Function Using Continuous-Time Failure Data

Conference paper

Peer reviewed

Empirical Hazard Function Using Continuous-Time Failure Data

Gang Xie, Fengfeng Li, Yong Sun and Lin Ma

Proceedings of the 7th World Congress on Engineering Asset Management, pp.647-656

World Congress on Engineering Asset Management (WCEAM), 7th (Daejeon City, Korea, 08-Oct-2012–09-Oct-2012)

Lecture Notes in Mechanical Engineering (LNME), Springer International Publishing

2015

DOI: https://doi.org/10.1007/978-3-319-06966-1_58

Files and links (1)

url

https://doi.org/10.1007/978-3-319-06966-1_58View

Published Version

Abstract

Engineering

continuous-time failure data

A theoretically sound and accurate empirical hazard function may be used directly for analysis of lifetime distribution of the continuous-time failure data or can be used as a basis for further parametric modeling analysis in asset management. For the sake of bridging the gaps between probability theory and data analysis practice, this paper starts from clarifying the relationship between the concepts of hazard function and failure rate. Then, two often-used continuous-time data empirical hazard function formulas are derived directly from discrediting their theoretic definitions of the hazard function. The properties of these two different formulas are investigated, and their estimation performances against the true hazard function values are compared using simulation samples from exponential and Weibull distributions. Under the specified assumption conditions, both theoretic calculation and simulation results show that the formula that calculates the average failure rates (AFR) gives less biased estimation than the other one in all cases we have examined. We also showed that under practical situations, the relative difference of the calculated empirical hazards between these two formulas is less than 6 %. Based on the result of this study, we proposed a rule of thumb for applications of these two most often-used empirical hazard function formulas in data analysis practice.

Details

Title: Empirical Hazard Function Using Continuous-Time Failure Data
Authors: Gang Xie (Author) - Queensland University of Technology
Fengfeng Li (Author) - Queensland University of Technology
Yong Sun (Author) - Queensland University of Technology
Lin Ma (Author) - Queensland University of Technology
Contributors: W B Lee (Editor)
B Choi (Editor)
L Ma (Editor)
J Mathew (Editor)
Publication details: Proceedings of the 7th World Congress on Engineering Asset Management, pp.647-656
Conference details: World Congress on Engineering Asset Management (WCEAM), 7th (Daejeon City, Korea, 08-Oct-2012–09-Oct-2012)
Series: Lecture Notes in Mechanical Engineering (LNME)
Publisher: Springer International Publishing
Date published: 2015
DOI: 10.1007/978-3-319-06966-1_58
ISBN: 9783319024615
Organisation Unit: University of the Sunshine Coast, Queensland
Language: English
Record Identifier: 99448899602621
Output Type: Conference paper

Metrics

4 File views/ downloads

895 Record Views