UCL Discovery (University College London) · 1986 · 27 citations · 3 references
EngineeringCivil EngineeringPavement EngineeringStatistical ModelingUncertainty QuantificationFailure AnalysisFailure TheoriesPavement DesignPavement DistressesPavement FatigueReliability ModelingDistress AssessmentMaximum Likelihood EstimatorPavement Distress AnalysisPavement Distress AssessmentPavement Distress EvaluationPavement Distress QuantificationStatistical Bias CorrectionWeibull Model
A statistical procedure that overcomes common difficulties in the development of distress models from empirical data is described and applied in an example. The method applies failure-time theory, using maximum likelihood methods so that censored data can be included to prevent statistical bias in the predictions. The variability of failure times is represented by a Weibull distribution because that is considered the most appropriate for the concurrent mechanisms of fatigue and weathering and is flexible in shape. An example application of the procedure to a major analysis of Brazilian condition data shows that it permitted the use of a much wider data base than would otherwise be possible and produced important results that quantify strong effects of weathering and variability.
3
Continuous Univariate Distributions.
Yasuhiro Omori, Norman L. Johnson, S. Kotz et al. · Journal of the American Statistical Association · 1995 · 9.3K citations
E. J. Hannan, Henri Theil · Technometrics · 1973 · 3.2K citations
E J Dickinson · 1984 · 12 citations