Journal of Advanced Ceramics

, Volume 6, Issue 2, pp 149–156 | Cite as

Determination of the Weibull parameters from the mean value and the coefficient of variation of the measured strength for brittle ceramics

  • Bin Deng
  • Danyu JiangEmail author
Open Access
Research Article


Accurate estimation of Weibull parameters is an important issue for the characterization of the strength variability of brittle ceramics with Weibull statistics. In this paper, a simple method was established for the determination of the Weibull parameters, Weibull modulus m and scale parameter σ0, based on Monte Carlo simulation. It was shown that an unbiased estimation for Weibull modulus can be yielded directly from the coefficient of variation of the considered strength sample. Furthermore, using the yielded Weibull estimator and the mean value of the strength in the considered sample, the scale parameter σ0 can also be estimated accurately.


Weibull distribution Weibull parameters strength variability unbiased estimation coefficient of variation 



The authors acknowledge the support of Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB06050301).


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© The Author(s) 2017

Open Access The articles published in this journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Department of the ProsthodonticsChinese PLA General HospitalBeijingChina
  2. 2.Analysis and Testing Center for Inorganic Materials, State Key Laboratory of High Performance Ceramics and Superfine MicrostructureShanghai Institute of CeramicsShanghaiChina

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