EM algorithm for one-shot device testing with competing risks under exponential distribution
Creators
- 1. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S4K1 (Canada)
- 2. Department of Mathematics and Information Technology, The Hong Kong Institute of Education, Hong Kong SAR (China)
Description
This paper provides an extension of the work of Balakrishnan and Ling [1] by introducing a competing risks model into a one-shot device testing analysis under an accelerated life test setting. An Expectation Maximization (EM) algorithm is then developed for the estimation of the model parameters. An extensive Monte Carlo simulation study is carried out to assess the performance of the EM algorithm and then compare the obtained results with the initial estimates obtained by the Inequality Constrained Least Squares (ICLS) method of estimation. Finally, we apply the EM algorithm to a clinical data, ED01, to illustrate the method of inference developed here. - Highlights: • ALT data analysis for one-shot devices with competing risks is considered. • EM algorithm is developed for the determination of the MLEs. • The estimations of lifetime under normal operating conditions are presented. • The EM algorithm improves the convergence rate
Availability note (English)
Available from http://dx.doi.org/10.1016/j.ress.2014.12.014Additional details
Identifiers
- DOI
- 10.1016/j.ress.2014.12.014;
- PII
- S0951-8320(15)00002-2;
Publishing Information
- Journal Title
- Reliability Engineering and System Safety
- Journal Volume
- 137
- Journal Page Range
- p. 129-140
- ISSN
- 0951-8320
- CODEN
- RESSEP
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47019555
- Subject category
- S42: ENGINEERING; S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGORITHMS; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; DATA ANALYSIS; DISTRIBUTION; EQUIPMENT; LEAST SQUARE FIT; MONTE CARLO METHOD; PERFORMANCE; RISK ASSESSMENT; SERVICE LIFE; TESTING
- Descriptors DEC
- CALCULATION METHODS; DATA PROCESSING; EVALUATION; LIFETIME; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; MAXIMUM-LIKELIHOOD FIT; NUMERICAL SOLUTION; PROCESSING; SIMULATION
Optional Information
- Copyright
- Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.