Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Generalized q-distributions in reliability modeling
Submission Author:
João Vitor Storti Novo , BA
Co-Authors:
João Vitor Storti Novo, Silvio Alexandre B. Vieira de Melo, Edilson Assis
Presenter: João Vitor Storti Novo
doi://10.26678/ABCM.COBEM2017.COB17-1652
Abstract
A comparison of four models of life distributions is applied in a practical reliability modeling. Two are q-type distributions of their usual ones, inspired by mathematical developments that followed nonextensive statistical mechanics, namely q-Weibull and q-exponential. Bernard’s approximation of median ranks and the least squares estimation method were used to estimate the parameters. The q-Weibull model, a generalization of other three models (Weibull, q-exponential and exponential) had the outstanding ability to clearly exhibits non-monotonic failure rates (bathtub curve and unimodal), describing the entire lifetime of two practical systems analyzed with a single set of parameters, that is impossible to the other distributions.
Keywords
reliability, q-distribution, failure rate, bathtub curve, sugarcane harvester
