Four-Parameter Weibull Distribution with Lower and Upper Limits Applicable in Reliability Studies and Materials Testing
Jan Kohout
Abstract
A simply curved Weibull plot means that the studied data set has a three-parameter Weibull distribution with a non-zero location parameter representing the lower or the upper limit of the data set. This paper introduces a four-parameter Weibull distribution with both of these limits that can be applied in both reliability and materials engineering. A very reliable indicator of this distribution is the double-curved Weibull plot. The great advantage of this distribution is the fact that the corresponding hazard rate curve can be bathtub-shaped with a great ability to fit the measured data.
Topics & Concepts
Weibull distributionWeibull modulusExponentiated Weibull distributionReliability (semiconductor)Plot (graphics)StatisticsFailure rateMathematicsShape parameterBathtubWeibull fadingDistribution fittingLimit (mathematics)Distribution (mathematics)Reliability engineeringProbability distributionEngineeringMathematical analysisPhysicsMaterials sciencePower (physics)Composite materialRayleigh fadingFadingQuantum mechanicsDecoding methodsFatigue and fracture mechanicsProbabilistic and Robust Engineering DesignStatistical Distribution Estimation and Applications