On comparing the shape parameters of two Weibull distributions

► Estimating Weibull modulus by using linear regression and unbiased probability estimators. ► Hypothesis testing on two estimated Weibull moduli. ► Percentile tables are generated for this hypothesis test. Probability estimators developed previously by the authors have been used to compare unbiased...

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Bibliographic Details
Published in:Materials science & engineering. A, Structural materials : properties, microstructure and processing Structural materials : properties, microstructure and processing, 2011, Vol.528 (27), p.8028-8030
Main Authors: Hudak, David, Tiryakioğlu, Murat
Format: Article
Language:English
Subjects:
Castings
Ceramics
Confidence intervals
Cross-disciplinary physics: materials science
rheology
Defects
Estimates
Estimators
Exact sciences and technology
Flaws
Materials science
Microstructure
Phase diagrams and microstructures developed by solidification and solid-solid phase transformations
Physics
Regression
Solidification
Structural materials
Weakest link
Weibull distribution
Weibull modulus
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Summary:► Estimating Weibull modulus by using linear regression and unbiased probability estimators. ► Hypothesis testing on two estimated Weibull moduli. ► Percentile tables are generated for this hypothesis test. Probability estimators developed previously by the authors have been used to compare unbiased estimates of the shape parameters (Weibull modulus) from two distributions by the linear regression method for thirteen sample sizes ranging from 10 to 100. Percentiles of the ratio of two estimated Weibull moduli for various confidence levels have been developed. The use of these percentiles for hypothesis testing, i.e., comparison of the two Weibull moduli is demonstrated by using datasets from the literature.
ISSN:0921-5093
1873-4936
DOI:10.1016/j.msea.2011.07.013