메뉴 건너뛰기




Volumn 37, Issue 4, 2010, Pages 617-627

On MLEs of the parameters of a modified weibull distribution for progressively type-2 censored samples

Author keywords

Bathtub shaped failure rate; Hessian matrix; Maximum likelihood estimation; Modifiedweibull distribution; Uniqueness and existence

Indexed keywords


EID: 77949493136     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664760902803289     Document Type: Article
Times cited : (14)

References (30)
  • 1
    • 0023326910 scopus 로고
    • How to identify bathtub hazard rate
    • M.V. Aarset, How to identify bathtub hazard rate, IEEE Trans. Reliab. 36 (1987), pp. 106-108.
    • (1987) IEEE Trans. Reliab. , vol.36 , pp. 106-108
    • Aarset, M.V.1
  • 2
    • 0041881966 scopus 로고    scopus 로고
    • Existence and uniqueness of the MLEs for normal distribution based on general progressively type-2 censored samples
    • N. Balakrishnan and J. Mi, Existence and uniqueness of the MLEs for normal distribution based on general progressively type-2 censored samples, Statist. Probab. Lett. 64 (2003), pp. 407-414.
    • (2003) Statist. Probab. Lett. , vol.64 , pp. 407-414
    • Balakrishnan, N.1    Mi, J.2
  • 3
    • 0013914157 scopus 로고
    • Evaluation of the maximum-likelihood estimator where the likelihood equation has multiple roots
    • V.D. Barnett, Evaluation of the maximum-likelihood estimator where the likelihood equation has multiple roots, Biometrika 53 (1966), pp. 151-165.
    • (1966) Biometrika , vol.53 , pp. 151-165
    • Barnett, V.D.1
  • 4
    • 33847776921 scopus 로고    scopus 로고
    • Zitikis, optimum burn-in time for a bathtub-shaped failure distribution, methodol
    • M. Bebbington, C.D. Lai, and R. Zitikis, Optimum burn-in time for a bathtub-shaped failure distribution,Methodol. Comput. Appl. Probab. 9 (2007), pp. 1-20.
    • (2007) Comput. Appl. Probab. , vol.9 , pp. 1-20
    • Bebbington, M.1    Lai, C.D.2
  • 5
    • 41249094425 scopus 로고    scopus 로고
    • Log-modified Weibull regression models with censored data: Sensitivity and residual analysis
    • J.M.F. Carrasco, E.M.M. Ortega, and G.A. Paula, Log-modified Weibull regression models with censored data: sensitivity and residual analysis, Comput. Statist. Data Anal. 52 (2008), pp. 4021-4039.
    • (2008) Comput. Statist. Data Anal. , vol.52 , pp. 4021-4039
    • Carrasco, J.M.F.1    Ortega, E.M.M.2    Paula, G.A.3
  • 6
    • 33845681735 scopus 로고    scopus 로고
    • Generalization of the Weibull distribution: The odd Weibull family
    • K. Cooray, Generalization of the Weibull distribution: The odd Weibull family, Statist. Model. 6 (2006), pp. 265-277.
    • (2006) Statist. Model. , vol.6 , pp. 265-277
    • Cooray, K.1
  • 7
    • 34250376002 scopus 로고    scopus 로고
    • A lifetime distribution with an upside-down bathtub-shaped hazard function
    • T.D. Dimitrakopoulou, K. Adamidis, and S. Loukas, A lifetime distribution with an upside-down bathtub-shaped hazard function, IEEE Trans. Reliab. 56 (2007), pp. 308-311.
    • (2007) IEEE Trans. Reliab. , vol.56 , pp. 308-311
    • Dimitrakopoulou, T.D.1    Adamidis, K.2    Loukas, S.3
  • 8
    • 0031382496 scopus 로고    scopus 로고
    • Uniqueness of maximum likelihood estimators of the 2-parameter Weibull distribution
    • N.R. Farnum and P. Booth, Uniqueness of maximum likelihood estimators of the 2-parameter Weibull distribution, IEEE Trans. Reliab. 46 (1997), pp. 523-525.
    • (1997) IEEE Trans. Reliab. , vol.46 , pp. 523-525
    • Farnum, N.R.1    Booth, P.2
  • 9
    • 0031140951 scopus 로고    scopus 로고
    • A new statistical distribution for characterizing random strength of brittle materials
    • M.R. Gurvich, A.T. Dibenedetto, and S.V. Ranade, A new statistical distribution for characterizing random strength of brittle materials, J. Mater. Sci. 32 (1997), pp. 2559-2564.
    • (1997) J. Mater. Sci. , vol.32 , pp. 2559-2564
    • Gurvich, M.R.1    Dibenedetto, A.T.2    Ranade, S.V.3
  • 10
    • 0031144309 scopus 로고    scopus 로고
    • Inference from grouped data in three-parameter Weibull models with applications to breakdown-voltage experiments
    • H. Hirose and T.L. Lai, Inference from grouped data in three-parameter Weibull models with applications to breakdown-voltage experiments, Technometrics 39 (1997), pp. 199-210.
    • (1997) Technometrics , vol.39 , pp. 199-210
    • Hirose, H.1    Lai, T.L.2
  • 11
    • 46249125310 scopus 로고    scopus 로고
    • Markov chain Monte Carlo methods for parameter estimation of the modified Weibull distribution
    • H. Jiang, M. Xie, and L.C. Tang, Markov chain Monte Carlo methods for parameter estimation of the modified Weibull distribution, J. Appl. Statist. 35 (2008), pp. 647-658.
    • (2008) J. Appl. Statist. , vol.35 , pp. 647-658
    • Jiang, H.1    Xie, M.2    Tang, L.C.3
  • 12
    • 0031097979 scopus 로고    scopus 로고
    • Two sectional models involving three Weibull distributions
    • R. Jiang and D.N.P. Murthy, Two sectional models involving three Weibull distributions, Qual. Reliab. Eng. Int. 13 (1997), pp. 83-96.
    • (1997) Qual. Reliab. Eng. Int. , vol.13 , pp. 83-96
    • Jiang, R.1    Murthy, D.N.P.2
  • 13
    • 0344735887 scopus 로고    scopus 로고
    • Study of n-fold Weibull competing risk model
    • R. Jiang and D.N.P. Murthy, Study of n-fold Weibull competing risk model, Math. Comput. Model. 38 (2003), pp. 1259-1273.
    • (2003) Math. Comput. Model. , vol.38 , pp. 1259-1273
    • Jiang, R.1    Murthy, D.N.P.2
  • 14
    • 0026881076 scopus 로고
    • Graphical representation of two mixed-Weibull distributions
    • S. Jiang and D. Kececioglu, Graphical representation of two mixed-Weibull distributions, IEEE Trans. Reliab. 41 (1992), pp. 241-247.
    • (1992) IEEE Trans. Reliab. , vol.41 , pp. 241-247
    • Jiang, S.1    Kececioglu, D.2
  • 16
    • 3242779265 scopus 로고    scopus 로고
    • Mean residual life and other properties of Weibull related bathtub shape failure rate distributions
    • C.D. Lai, L.Y. Zhang, and M. Xie, Mean residual life and other properties of Weibull related bathtub shape failure rate distributions, Int. J. Reliab. Qual. Saf. Eng. 11 (2004), pp. 113-132.
    • (2004) Int. J. Reliab. Qual. Saf. Eng. , vol.11 , pp. 113-132
    • Lai, C.D.1    Zhang, L.Y.2    Xie, M.3
  • 17
    • 0001143341 scopus 로고
    • On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples
    • T. Makelainen, K. Schmidt, and G.P.H. Styan, On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples, Ann. Statist. 9 (1981), pp. 758-767.
    • (1981) Ann. Statist. , vol.9 , pp. 758-767
    • Makelainen, T.1    Schmidt, K.2    Styan, G.P.H.3
  • 18
    • 0001324423 scopus 로고    scopus 로고
    • A new method for adding a parameter to a family of distribution with application to the exponential and Weibull families
    • A.W. Marshall and I. Olkin, A new method for adding a parameter to a family of distribution with application to the exponential and Weibull families, Biometrika 84 (1997), pp. 641-652.
    • (1997) Biometrika , vol.84 , pp. 641-652
    • Marshall, A.W.1    Olkin, I.2
  • 19
    • 33745005526 scopus 로고    scopus 로고
    • MLE of parameters of location-scale distribution for complete and partially grouped data
    • J. Mi, MLE of parameters of location-scale distribution for complete and partially grouped data. J. Statist. Plann. Inference 136 (2006), pp. 3565-3582.
    • (2006) J. Statist. Plann. Inference , vol.136 , pp. 3565-3582
    • Mi, J.1
  • 20
    • 0027608675 scopus 로고
    • Exponentiated Weibull family for analyzing bathtub failure-rate data
    • G.S. Mudholkar and D.K. Srivastava, Exponentiated Weibull family for analyzing bathtub failure-rate data, IEEE Trans. Reliab. 42 (1993), pp. 299-302.
    • (1993) IEEE Trans. Reliab. , vol.42 , pp. 299-302
    • Mudholkar, G.S.1    Srivastava, D.K.2
  • 21
    • 0029404196 scopus 로고
    • The exponentiatedWeibull family: A reanalysis of the bus-motorfailure data
    • G.S. Mudholkar, D.K. Srivastava, and M. Freimer, The exponentiatedWeibull family: A reanalysis of the bus-motorfailure data, Technometrics 37 (1995), pp. 436-445.
    • (1995) Technometrics , vol.37 , pp. 436-445
    • Mudholkar, G.S.1    Srivastava, D.K.2    Freimer, M.3
  • 22
    • 27844474258 scopus 로고    scopus 로고
    • Parameter estimation for a modified Weibull distribution, for progressively type-2 censored samples
    • H.K.T. Ng, Parameter estimation for a modified Weibull distribution, for progressively type-2 censored samples, IEEE Trans. Reliab. 54 (2005), pp. 374-380.
    • (2005) IEEE Trans. Reliab. , vol.54 , pp. 374-380
    • Ng, H.K.T.1
  • 23
    • 0007202043 scopus 로고
    • Maximum likelihood estimation with the Weibull model
    • H. Rockette, C. Antle, and L.A. Klimko, Maximum likelihood estimation with the Weibull model, J. Amer. Statist. Assoc. 69 (1974), pp. 246-249.
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 246-249
    • Rockette, H.1    Antle, C.2    Klimko, L.A.3
  • 24
    • 10044240573 scopus 로고    scopus 로고
    • Estimation of parameters for exponentiated-Weibull family under type-2 censoring scheme
    • U. Singh, P.K. Gupta, and S.K. Upadhyay, Estimation of parameters for exponentiated-Weibull family under type-2 censoring scheme, Comput. Statist. Data Anal. 48 (2005), pp. 509-523.
    • (2005) Comput. Statist. Data Anal. , vol.48 , pp. 509-523
    • Singh, U.1    Gupta, P.K.2    Upadhyay, S.K.3
  • 25
    • 0038516719 scopus 로고    scopus 로고
    • Statistical analysis of a Weibull extension model
    • Y. Tang, M. Xie, and T.N. Goh, Statistical analysis of a Weibull extension model, Comm. Statist. Theory Methods 32 (2003), pp. 913-928.
    • (2003) Comm. Statist. Theory Methods , vol.32 , pp. 913-928
    • Tang, Y.1    Xie, M.2    Goh, T.N.3
  • 26
    • 0344119556 scopus 로고    scopus 로고
    • Uniqueness of the maximum likelihood estimate of theWeibull distribution tampered failure rate model
    • R. H. Wang and H. L. Fei, Uniqueness of the maximum likelihood estimate of theWeibull distribution tampered failure rate model, Comm. Statist. Theory Methods 32 (2003), pp. 2321-2338.
    • (2003) Comm. Statist. Theory Methods , vol.32 , pp. 2321-2338
    • Wang, R.H.1    Fei, H.L.2
  • 27
    • 2142825691 scopus 로고    scopus 로고
    • On changing points of mean residual life and failure rate function for some generalized Weibull distribution
    • M. Xie, T. N. Goh, and Y. Tang, On changing points of mean residual life and failure rate function for some generalized Weibull distribution, Reliab. Eng. Syst. Saf. 84 (2004), pp. 293-299.
    • (2004) Reliab. Eng. Syst. Saf. , vol.84 , pp. 293-299
    • Xie, M.1    Goh, T.N.2    Tang, Y.3
  • 28
    • 0030122796 scopus 로고    scopus 로고
    • Reliability analysis using an additiveWeibull model with bathtub-shaped failure rate function
    • M. Xie and C.D. Lai, Reliability analysis using an additiveWeibull model with bathtub-shaped failure rate function, Reliab. Eng. Syst. Saf. 52 (1996), pp. 87-93.
    • (1996) Reliab. Eng. Syst. Saf. , vol.52 , pp. 87-93
    • Xie, M.1    Lai, C.D.2
  • 29
    • 0036604308 scopus 로고    scopus 로고
    • A modifiedWeibull extension with bathtub-shaped failure rate function
    • M. Xie, Y. Tang, and T. N. Goh, A modifiedWeibull extension with bathtub-shaped failure rate function, Reliab. Eng. Syst. Saf. 76 (2002), pp. 279-285.
    • (2002) Reliab. Eng. Syst. Saf. , vol.76 , pp. 279-285
    • Xie, M.1    Tang, Y.2    Goh, T.N.3
  • 30
    • 34249697551 scopus 로고    scopus 로고
    • Failure data analysis with extended Weibull distribution
    • T.L. Zhang and M. Xie, Failure data analysis with extended Weibull distribution, Comm. Statist. Simulation Comput. 36 (2007), pp. 579-592.
    • (2007) Comm. Statist. Simulation Comput. , vol.36 , pp. 579-592
    • Zhang, T.L.1    Xie, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.