Paper Title:
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.

  Info
Periodical
Materials Science Forum (Volumes 636-637)
Edited by
Luís Guerra ROSA and Fernanda MARGARIDO
Pages
1443-1450
DOI
10.4028/www.scientific.net/MSF.636-637.1443
Citation
L. G. Rosa, I. Figueiredo, "Demonstration of the Robustness of Maximum Likelihood Estimation to Distinguish Mixtures of Two Weibull Populations in Failure Data of Brittle Materials", Materials Science Forum, Vols. 636-637, pp. 1443-1450, 2010
Online since
January 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Kai Duan, Xiao Zhi Hu
Abstract:A simple means of deconvoluting the size distributions of fracture-controlling flaws from Weibull strength plots for small-scale specimens is...
77
Authors: Kai Duan, Xiao Zhi Hu
Abstract:This paper describes a statistical method for evaluating the surface flaw distributions responsible for the improved strength and...
1425
Authors: Han Ok Ko, Sun Jung Kang, Yoon Suk Chang, Jae Boong Choi, Young Jin Kim, Min Chul Kim, Bong Sang Lee
Abstract:Fracture toughness data from the cleavage resistance test of structural steels often show a large scatter. Geometry dependency as well as...
513
Authors: Yong Xiang Zhao, Bing Yang, Wei Hua Zhang
Abstract:A Monte-Carlo simulation method for the reconstruction of one-dimensional probabilistic mechanical and fatigue strengths is developed to...
2493
Authors: Jorge Cruz Fernandes, Vera Pires, Pedro M. Amaral, Luís Guerra Rosa
Abstract:This paper presents a comparative study between 3- and 4-point bending tests applied to five Portuguese limestones. The study has been...
1336