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| − | + | <p>The classical Weibull distribution lacks flexibility for nonlinear or early- life failure behaviors. We present a new three- parameter generalized Weibull (NGW) distribution using a probability- based generator. The NGW preserves the monotonic Weibull hazard structure by adding a parameter that controls for early- life hazard and cumulative curvature. We derive its key properties (density, survival, hazard, quantiles, moments), estímate the parameters using maximum likelihood and Bayesian methods, and perform simulations. Application to engineering failure data shows that the NGW offers a competitive fit compared to several Weibull- type extensions, with a parsimonious and analytically tractable structure.</p> | |
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== Document == | == Document == | ||
<pdf>Media:Draft_content_129493380-5090-document.pdf</pdf> | <pdf>Media:Draft_content_129493380-5090-document.pdf</pdf> | ||
Latest revision as of 09:31, 11 June 2026
Abstract
The classical Weibull distribution lacks flexibility for nonlinear or early- life failure behaviors. We present a new three- parameter generalized Weibull (NGW) distribution using a probability- based generator. The NGW preserves the monotonic Weibull hazard structure by adding a parameter that controls for early- life hazard and cumulative curvature. We derive its key properties (density, survival, hazard, quantiles, moments), estímate the parameters using maximum likelihood and Bayesian methods, and perform simulations. Application to engineering failure data shows that the NGW offers a competitive fit compared to several Weibull- type extensions, with a parsimonious and analytically tractable structure.
Document
Document information
Published on 11/06/26
Accepted on 11/06/26
Submitted on 10/06/26
Volume Online First, 2026
DOI: 10.23967/j.rimni.2026.10.82546
Licence: CC BY-NC-SA license
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