Trend analysis of the power law process using Expectation–Maximization algorithm for data censored by inspection intervals

• Published in: Reliability engineering & system safety Vol. 96; no. 10; pp. 1340 - 1348
• Main Authors: Taghipour, Sharareh, Banjevic, Dragan
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.10.2011; Elsevier
• Subjects: Algorithms; Applied sciences; Censoring; EM algorithm; Exact sciences and technology; Failure; Failure times; Intervals; Mathematics; Maximum likelihood; Medical infusion pump; Operational research and scientific management; Operational research. Management science; Parametric inference; Power law; Power law process; Probability and statistics; Queuing theory. Traffic theory; Reliability theory. Replacement problems; Sciences and techniques of general use; Statistical methods; Statistics; Trend analysis; Trend test; Trends; Trend test; Maximum likelihood; Medical infusion pump; Censoring; Power law process; EM algorithm; Recurrence; Data analysis; Statistical analysis; Censored sample; Censorship; Maintenance; Failures; Poisson process; Pump; Break up time; Likelihood ratio test; Trend analysis; Recursive method; Hospital; Repair; Power law; Repairable system

Trend analysis is a common statistical method used to investigate the operation and changes of a repairable system over time. This method takes historical failure data of a system or a group of similar systems and determines whether the recurrent failures exhibit an increasing or decreasing trend. M...