Confidence Intervals for the Scale Parameter of the Power-Law Process

DOI10.1080/03610920600637412zbMath1105.62098OpenAlexW2076173359MaRDI QIDQ3424177

Olivier Gaudoin, Bo Yang, Min Xie

Publication date: 15 February 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920600637412

zbMATH Keywords

information matrixmaximum likelihood estimationnonhomogeneous Poisson processasymptotic confidence intervalspower-law processrepairable system reliability

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Signal detection and filtering (aspects of stochastic processes) (60G35) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (7)

Some large sample tests based on conditional distribution for the shape parameter in power law process ⋮ Generalized Confidence Interval for the Scale Parameter of the Power-Law Process ⋮ Random sets and exact confidence regions ⋮ A Khmaladze-transformed test of fit with ML estimation in the presence of recurrent events ⋮ Generalized confidence interval for the scale parameter of the power-law process with incomplete failure data ⋮ On a First-Passage-Time Problem for the Compound Power-Law Process ⋮ Modified signed log-likelihood ratio test for the scale parameter of the power-law process with applications to repairable systems

Cites Work

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• Statistical inference for spatial Poisson processes
• Stochastic processes and reliability of systems
• Confidence Bounds on the Parameters of the Weibull Process
• Bayesian reliability analysis of complex repairable systems
• A New Goodness-of-Fit Test Based on the Laplace Statistic for a Large Class of NHPP Models

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