Demonstration of the Robustness of Maximum Likelihood Estimation to Distinguish Mixtures of Two Weibull Populations in Failure Data of Brittle Materials

Luis Guerra Rosa; Ivone Figueiredo

doi:10.4028/www.scientific.net/MSF.636-637.1443

Paper Titles

Waste Fibre Reinforced Ecocomposites
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On the Thermal Characterization of Fibers Prepared by Cryogenic Grinding of Scrap Tires
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Characterisation of Cutting Systems on Physical Processing of Spent Batteries
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Printed Circuit Boards Recycling: Characterization of Granulometric Fractions from Shredding Process
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Demonstration of the Robustness of Maximum Likelihood Estimation to Distinguish Mixtures of Two Weibull Populations in Failure Data of Brittle Materials
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Repair Welding Effects on the Bending Fatigue Strength of AISI 4130 Aeronautical Steel Used in a Critical to the Flight-Safety Structure
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Relation between the Mechanical Behaviour of a High Strength Steel and the Microstructure in Gigacycle Fatigue
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Evaluation of the Relationship between Diamond Tool Wear Performance and the Mechanical Properties of the Individual Metallic Binders
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SANS Investigation of γ´ Precipitate Morphology Evolution in Creep Exposed Single Crystal Ni Base Superalloy
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HomeMaterials Science ForumMaterials Science Forum Vols. 636-637Demonstration of the Robustness of Maximum...

Demonstration of the Robustness of Maximum Likelihood Estimation to Distinguish Mixtures of Two Weibull Populations in Failure Data of Brittle Materials

Abstract:

In statistical analysis of failure data of brittle materials, the use of maximum likelihood estimators shows many advantages compared to other methods. The applicability and the robustness of the maximum likelihood method to analyze and to distinguish the data in several mixtures of two Weibull populations is demonstrated in this work. Estimations of percentage of data belonging to each of the populations, as well as Weibull parameters of the populations, are relatively simple to be conducted using adequate software.