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Volumn 91, Issue 8, 2006, Pages 930-939

Bias correction for the least squares estimator of Weibull shape parameter with complete and censored data

Author keywords

Bias correction; Censored data; Shape parameter; Weibull distribution

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; FUNCTION EVALUATION; LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION; PROBABILITY;

EID: 33646078342     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2005.09.010     Document Type: Article
Times cited : (70)

References (21)
  • 1
    • 0037319436 scopus 로고    scopus 로고
    • Comparison of estimation methods for Weibull parameters: complete and censored samples
    • Hossain A.M., and Zimmer W.J. Comparison of estimation methods for Weibull parameters: complete and censored samples. J Stat Comput Simul 73 2 (2003) 145-153
    • (2003) J Stat Comput Simul , vol.73 , Issue.2 , pp. 145-153
    • Hossain, A.M.1    Zimmer, W.J.2
  • 2
    • 0036736276 scopus 로고    scopus 로고
    • Reliability tests for Weibull distribution with varying shape-parameter, based on complete data
    • Hisada K., and Arizino I. Reliability tests for Weibull distribution with varying shape-parameter, based on complete data. IEEE Trans Reliab 51 3 (2002) 331-336
    • (2002) IEEE Trans Reliab , vol.51 , Issue.3 , pp. 331-336
    • Hisada, K.1    Arizino, I.2
  • 3
    • 0033735988 scopus 로고    scopus 로고
    • A study of the effects of mis-specification of the Weibull shape parameter on confidence bounds based on the Weibull-to-exponential transformation
    • Keats J.B., Nahar P.C., and Korbel K.M. A study of the effects of mis-specification of the Weibull shape parameter on confidence bounds based on the Weibull-to-exponential transformation. Qual Reliab Eng Int 16 1 (2000) 27-31
    • (2000) Qual Reliab Eng Int , vol.16 , Issue.1 , pp. 27-31
    • Keats, J.B.1    Nahar, P.C.2    Korbel, K.M.3
  • 4
    • 0034229610 scopus 로고    scopus 로고
    • More on the mis-specification of the shape parameter with Weibull-to-exponential transformation
    • Xie M., Yang Z.L., and Gaudoin O. More on the mis-specification of the shape parameter with Weibull-to-exponential transformation. Qual Reliab Eng Int 16 4 (2000) 281-290
    • (2000) Qual Reliab Eng Int , vol.16 , Issue.4 , pp. 281-290
    • Xie, M.1    Yang, Z.L.2    Gaudoin, O.3
  • 5
    • 0031168571 scopus 로고    scopus 로고
    • In search of convenient techniques for reducing bias in the estimation of Weibull parameter for uncensored tests
    • Montanari G.C., Mazzanti G., Cacciari M., and Fothergill J.C. In search of convenient techniques for reducing bias in the estimation of Weibull parameter for uncensored tests. IEEE Trans Dielect Electr Insul 4 3 (1997) 306-313
    • (1997) IEEE Trans Dielect Electr Insul , vol.4 , Issue.3 , pp. 306-313
    • Montanari, G.C.1    Mazzanti, G.2    Cacciari, M.3    Fothergill, J.C.4
  • 6
    • 0027539636 scopus 로고
    • Generalization of the method of maximum likelihood
    • Jacquelin J. Generalization of the method of maximum likelihood. IEEE Trans Dielect Electr Insul 28 1 (1993) 65-72
    • (1993) IEEE Trans Dielect Electr Insul , vol.28 , Issue.1 , pp. 65-72
    • Jacquelin, J.1
  • 7
    • 0028409849 scopus 로고
    • Formulas to describe the bias and standard deviation of the ML estimated weibull shape parameter
    • Ross R. Formulas to describe the bias and standard deviation of the ML estimated weibull shape parameter. IEEE Trans Dielect Electr Insul 1 2 (1994) 247-253
    • (1994) IEEE Trans Dielect Electr Insul , vol.1 , Issue.2 , pp. 247-253
    • Ross, R.1
  • 8
    • 0030084378 scopus 로고    scopus 로고
    • Bias and standard deviation due to Weibull parameter estimation for small date sets
    • Ross R. Bias and standard deviation due to Weibull parameter estimation for small date sets. IEEE Trans Dielect Electr Insul 3 1 (1996) 28-42
    • (1996) IEEE Trans Dielect Electr Insul , vol.3 , Issue.1 , pp. 28-42
    • Ross, R.1
  • 9
    • 0033077904 scopus 로고    scopus 로고
    • Bias correction for the maximum likelihood estimates in the two parameter Weibull distribution
    • Hirose H. Bias correction for the maximum likelihood estimates in the two parameter Weibull distribution. IEEE Trans Dielect Electr Insul 6 1 (1999) 66-68
    • (1999) IEEE Trans Dielect Electr Insul , vol.6 , Issue.1 , pp. 66-68
    • Hirose, H.1
  • 10
    • 0030086191 scopus 로고    scopus 로고
    • Comparison of maximum likelihood unbiasing methods for the estimation of the Weibull parameters
    • Cacciari M., Mazzanti G., and Montanari G.C. Comparison of maximum likelihood unbiasing methods for the estimation of the Weibull parameters. IEEE Trans Dielect Electr Insul 3 1 (1996) 18-27
    • (1996) IEEE Trans Dielect Electr Insul , vol.3 , Issue.1 , pp. 18-27
    • Cacciari, M.1    Mazzanti, G.2    Montanari, G.C.3
  • 11
  • 12
    • 1642459801 scopus 로고
    • Simplified statistical procedures for the Weibull or extreme-value distribution
    • Engelhardt M., and Bain L.J. Simplified statistical procedures for the Weibull or extreme-value distribution. Technometrics 19 3 (1977) 323-331
    • (1977) Technometrics , vol.19 , Issue.3 , pp. 323-331
    • Engelhardt, M.1    Bain, L.J.2
  • 13
    • 0000197496 scopus 로고
    • The moments of log-Weibull order statistics
    • White J.S. The moments of log-Weibull order statistics. Technometrics 11 2 (1969) 65-72
    • (1969) Technometrics , vol.11 , Issue.2 , pp. 65-72
    • White, J.S.1
  • 14
    • 0035518709 scopus 로고    scopus 로고
    • Weighted least squares estimation of the shape parameter of the Weibull distribution
    • Hung W.L. Weighted least squares estimation of the shape parameter of the Weibull distribution. Qual Reliab Eng Int 17 6 (2001) 467-469
    • (2001) Qual Reliab Eng Int , vol.17 , Issue.6 , pp. 467-469
    • Hung, W.L.1
  • 15
    • 6444225172 scopus 로고    scopus 로고
    • A note on weighted least-squares estimation of the shape parameter of the Weibull distribution
    • Lu H.L., Chen C.H., and Wu J.W. A note on weighted least-squares estimation of the shape parameter of the Weibull distribution. Qual Reliab Eng Int 20 6 (2004) 579-586
    • (2004) Qual Reliab Eng Int , vol.20 , Issue.6 , pp. 579-586
    • Lu, H.L.1    Chen, C.H.2    Wu, J.W.3
  • 16
    • 0037319409 scopus 로고    scopus 로고
    • Efficient estimation of the Weibull shape parameter based on a modified profile likelihood
    • Yang Z.L., and Xie M. Efficient estimation of the Weibull shape parameter based on a modified profile likelihood. J Stat Comput Simul 73 2 (2002) 115-123
    • (2002) J Stat Comput Simul , vol.73 , Issue.2 , pp. 115-123
    • Yang, Z.L.1    Xie, M.2
  • 17
    • 0025442738 scopus 로고
    • Estimating the cumulative probability of failure data points to be plotted on weibull and other probability paper
    • Fothergill J.C. Estimating the cumulative probability of failure data points to be plotted on weibull and other probability paper. IEEE Trans Electr Insul 25 3 (1990) 489-492
    • (1990) IEEE Trans Electr Insul , vol.25 , Issue.3 , pp. 489-492
    • Fothergill, J.C.1
  • 18
    • 0007263661 scopus 로고
    • The plotting of observations on probability paper
    • Bernard A., and Bosi-Levenbach E.C. The plotting of observations on probability paper. Stat Neerl 7 (1953) 163-173
    • (1953) Stat Neerl , vol.7 , pp. 163-173
    • Bernard, A.1    Bosi-Levenbach, E.C.2
  • 19
    • 33646084315 scopus 로고    scopus 로고
    • Herd GR. Estimation of reliability from incomplete data. Proceedings of the sixth international symposium on reliability and quality control; 1960.
  • 21
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • Nelder J.A., and Mead R. A simplex method for function minimization. Comput J 7 (1965) 308-313
    • (1965) Comput J , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.