Journal of Quality Technology · 1969 · 528 citations · 8 references
Public HealthSystems EngineeringRisk AnalysisStochastic ModelingSurvival AnalysisHazard AnalysisHazard FunctionsReliability ModelingSurvival FunctionsSurvival ModelingTime-to-event AnalysisCensored Data ModelingExtreme Value AnalysisExtreme Value DistributionsExtreme Value EstimationSurvival DistributionsWeibull Model
Incomplete failure data, such as times to failure on failed units and running times on unfailed units, are called multiply censored and are common in field operations. The paper proposes a method for plotting multiply censored data on hazard paper to extract engineering information about the time‑to‑failure distribution. The authors provide step‑by‑step instructions, illustrative examples, and theoretical background for constructing and interpreting hazard paper plots. Hazard paper representations are supplied for exponential, Weibull, normal, log‑normal, and extreme‑value distributions.
Incomplete failure data consisting of times to failure on failed units and differing running times on unfailed units are called multiply censored. Data on units operating in the field, for example, are usually multiply censored. Presented in this paper is a method of plotting multiply censored data on hazard paper to obtain engineering information on the distribution of time to failure. Step-by-step instructions on how to plot and interpret data on hazard paper are given with the aid of examples based on real and simulated data. Hazard paper is presented here for the exponential, Weibull, normal, log normal, and extreme value distributions. The theory underlying hazard paper and plotting is presented in an appendix.
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Statistical Models in Engineering
K. A. Brownlee, Geo Hahn, S. S. Shapiro · Technometrics · 1968 · 1.2K citations
Natural Sciences, Systems Engineering, Statistical Modeling +11
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