Predictive analyses for nonhomogeneous Poisson processes with power law using Bayesian approach

DOI10.1016/j.csda.2006.05.010zbMath1162.62425OpenAlexW2005721831MaRDI QIDQ1020080

Guo-Liang Tian, Jun-Wu Yu, Man-Lai Tang

Publication date: 29 May 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2006.05.010

zbMATH Keywords

nonhomogeneous Poisson processreliability growthprediction intervalsnoninformative priorBayesian approach

Mathematics Subject Classification ID

Bayesian inference (62F15) Applications of statistics in engineering and industry; control charts (62P30) Inference from stochastic processes (62M99) Reliability and life testing (62N05)

Related Items (7)

Bayesian Analysis of Stochastic Processes in Reliability ⋮ Bayesian inference for power law processes with applications in repairable systems ⋮ Learning effects on maintenance outsourcing ⋮ Nonparametric estimation and bootstrap confidence intervals for the optimal maintenance time of a repairable system ⋮ Bayesian inference and prediction analysis of the power law process based on a natural conjugate prior ⋮ Bayesian prediction of the overhaul effect on a repairable system with bounded failure intensity ⋮ Bayesian Inference and Prediction Analysis of the Power Law Process Based on a Gamma Prior Distribution

Uses Software

• NHPP

Cites Work

• Bayesian forecasting and dynamic models
• Bayesian inference for the power law process
• Statistical methods in software engineering. Reliability and risk
• Bayesian Computation for Nonhomogeneous Poisson Processes in Software Reliability
• Bayes inference for a non-homogeneous Poisson process with power intensity law (reliability)
• Confidence Interval Procedures for the Weibull Process with Applications to Reliability Growth
• Inferences on the Parameters and Current System Reliability for a Time Truncated Weibull Process
• Some Results on Inference for the Weibull Process
• Prediction Intervals for the Weibull Process
• Time-Dependent Error-Detection Rate Model for Software Reliability and Other Performance Measures
• ON THE PREDICTION OF FUTURE FAILURES FOR A REPAIRABLE EQUIPMENT SUBJECT TO OVERHAULS
• Parameter Estimation of Some NHPP Software Reliability Models with Change-Point
• ESTIMATION OF PARAMETERS FOR NONHOMOGENEOUS POISSON PROCESS: SOFTWARE RELIABILITY WITH CHANGE-POINT MODEL
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