Communications in Statistics · 1975 · 153 citations · 12 references
Public HealthBiostatisticsEconometricsRisk AnalysisSurvival AnalysisExtreme Value TheoryHazard FunctionsParametric Survival ModelsSurvival FunctionsSurvival ModelingExtreme Value DistributionsExtreme Value EstimationHazard Rate EstimationInterval EstimationInterval Parameter EstimationSurvival Distributions
An extreme‑value type life‑testing distribution with a U‑shaped hazard that increases exponentially on the right is examined. Least‑squares estimators for location‑scale parameters are applied to the model, and Monte‑Carlo simulations, interval estimation, hypothesis testing procedures, and a numerical example are developed. Simulation results confirm desirable properties of the estimators and support the proposed interval estimation and hypothesis testing procedures.
An extreme-value type life-testing distribution is studied which has the property that the hazard function say assume a U-shaped form. Also the hazard function is exponentially increasing on the right. Some general properties of least squares type estimators are discussed for the case of location-scale parameter distributions, and these estimators are applied to the proposed model. Properties of the estimators are studied by Monta Carlo simulation, and procedures for interval estimation and tests of hypotheses for the parameters and reliability are provided. A numerical example is also considered.
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The Distribution of Chi-Square
Edwin B. Wilson, Margaret M. Hilferty · Proceedings of the National Academy of Sciences · 1931 · 827 citations · Full text
Analysis for the Linear Failure-Rate Life-Testing Distribution
Lee J. Bain · Technometrics · 1974 · 165 citations