On the statistical modeling and analysis of repairable systems

DOI10.1214/088342306000000448zbMath1129.62092arXiv0708.0362OpenAlexW2109993473MaRDI QIDQ2381751

Bo Henry Lindqvist

Publication date: 18 September 2007

Published in: Statistical Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0362

zbMATH Keywords

trendheterogeneitymarked point processnonhomogeneous Poisson processrenewal processcompeting riskspreventive maintenancevirtual age processtrend-renewal process

Mathematics Subject Classification ID

Reliability and life testing (62N05)

Related Items (32)

Sojourning With the Homogeneous Poisson Process ⋮ The semiparametric accelerated trend-renewal process for recurrent event data ⋮ A Bayesian semiparametric regression model for reliability data using effective age ⋮ Optimal loading of system with random repair time ⋮ Operator-based intensity functions for the nonhomogeneous Poisson process ⋮ Minimal repair under a step-stress test ⋮ Nonparametric Estimation of Time Trend for Repairable Systems Data ⋮ Selection of the best minimal repair systems for Weibull lifetime distribution: A Bayesian approach ⋮ Nonparametric Bayes estimation of gap-time distribution with recurrent event data ⋮ The repair alert models with fixed and random effects ⋮ Bayesian prior information fusion for power law process via evidence theory ⋮ Modeling bivariate geyser eruption system with covariate-adjusted recurrent event process ⋮ Connectivity modeling and optimization of linear consecutively connected systems with repairable connecting elements ⋮ Steady-state imperfect repair models ⋮ Prediction in trend-renewal processes for repairable systems ⋮ Comparison of monotonic trend tests for some counting processes ⋮ Assessing transient carryover effects in recurrent event processes, with application to chronic health conditions ⋮ Data-driven preventive maintenance for a heterogeneous machine portfolio ⋮ Bayesian estimation versus maximum likelihood estimation in the Weibull-power law process ⋮ Generalized Inv-Log-Gamma-G processes ⋮ Maximum likelihood estimation for an inhomogeneous gamma process with a log-linear rate function ⋮ Nonparametric estimation with recurrent competing risks data ⋮ Analytical properties of an imperfect repair model and application in preventive maintenance scheduling ⋮ Consistent semiparametric estimators for recurrent event times models with application to virtual age models ⋮ Pricing service maintenance contracts using predictive analytics ⋮ Stochastic comparisons and multivariate dependence for the epoch times of trend renewal processes ⋮ Reliability modelling and assessment of a heterogeneously repaired system with partially relevant recurrence data ⋮ Estimation of parameters for trend-renewal processes ⋮ Generalized random sign and alert delay models for imperfect maintenance ⋮ Modelling failures times with dependent renewal type models via exchangeability ⋮ Non-homogeneous Poisson process intensity modeling and estimation using measure transport ⋮ Semiparametric estimation with recurrent event data under informative monitoring

Uses Software

• SPLIDA

Cites Work

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