کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5440371 | 1398227 | 2017 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Confidence limits for Weibull parameters estimated using linear least squares analysis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی مواد
سرامیک و کامپوزیت
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چکیده انگلیسی
Confidence limits (at selected levels of 68.27%, 90%, 95% and 99%) for unbiased estimation of Weibull parameters obtained using linear least squares (LLS) analysis were investigated in this paper. A Monte Carlo procedure was used to obtain probability distributions for unbiased estimates of Weibull modulus, m, and Weibull scale parameter, So, as a function of total specimen number, N (10 â¤Â N â¤Â 200), and m (1 â¤Â m â¤Â 25). Inspection of the probability distributions indicated that confidence limits for m depended only on N whereas those for So depended on both N and m. Whilst the determination of confidence limits for m proved to be relatively straightforward, the respective values for So were obtained by fitting an empirical equation to the So probability distributions approximated by a Gaussian curve. Example values of m and So confidence limits for selected N have been presented in this work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the European Ceramic Society - Volume 37, Issue 15, December 2017, Pages 5057-5064
Journal: Journal of the European Ceramic Society - Volume 37, Issue 15, December 2017, Pages 5057-5064
نویسندگان
Ian J. Davies,