Improved estimation of weibull parameters with the linear regression method

Journal of the American Ceramic Society

Volumn 87, Issue 9, 2004, Pages 1799-1802

  Wu, Dongfang ^a   Lu, Guanzhong ^a   Jiang, Hong ^b   Li, Yongdan ^c  

^a RESEARCH INSTITUTE OF INDUSTRIAL CATALYSIS   (China)

^b CHINA CONSTRUCTION BANK   (China)

^c TIANJIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; REGRESSION ANALYSIS;

ESTIMATION PRECISION; LINEAR REGRESSION METHOD; PROBABILITY ESTIMATORS; WEIBULL PARAMETERS;

WEIBULL DISTRIBUTION;

EID: 5444259350     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1551-2916.2004.01799.x     Document Type: Article

References (9)

1. G. D. Quinn, "Flexure Strength of Advanced Structural Ceramics: A Round Robin," J. Am. Ceram. Soc., 73 [8] 2374-84 (1990).
2. A. Khalili and K. Kromp, "Statistical Properties of Weibull Estimators," J. Mater. Sci., 26, 6741-52 (1991).
3. B. Bergman, "On the Estimation of the Weibull Modulus," J. Mater. Sci. Lett., 3, 689-92 (1984).
4. J. D. Sullivan and P. H. Lauzon, "Experimental Probability Estimators for Weibull Plots," J. Mater. Sci. Lett., 5, 1245-47 (1986).
5. D. F. Wu, Y. D. Li, J. P. Zhang, L. Chang, D. H. Wu, Z. P. Fang, and Y. H. Shi, "Effects of the Number of Testing Specimens and the Estimation Methods on the Weibull Parameters of Solid Catalysts," Chem. Eng. Sci., 56, 7035-44 (2001).
6. D. F. Wu and H. Jiang, "Comment on 'A New Probability Index for Estimating Weibull Modulus for Ceramics with the Least-Square Method'," J. Mater. Sci. Lett., 22, 1745-46 (2003).
7. R. Langlois, "Estimation of Weibull Parameters," J. Mater. Sci. Lett., 10, 1049-51 (1991).
8. I. J. Davies, "Empirical Correction Factor for the Best Estimate of Weibull Modulus Obtained Using Linear Least Squares Analysis," J. Mater. Sci. Lett., 20, 997-99 (2001).
9. H. Peterlik, "The Validity of Weibull Estimators," J. Mater. Sci., 30, 1972-76 (1995).