메뉴 건너뛰기




Volumn 45, Issue 3, 2011, Pages 257-279

Optimal sample size allocation for multi-level stress testing with weibull regression under type-II censoring

Author keywords

Accelerated life testing; Extreme value distribution; Lifetime data; Maximum likelihood estimators; Survival analysis; Weibull distribution

Indexed keywords


EID: 79957892957     PISSN: 02331888     EISSN: 10294910     Source Type: Journal    
DOI: 10.1080/02331880903546290     Document Type: Article
Times cited : (16)

References (28)
  • 1
    • 0000593860 scopus 로고
    • Some applications of exponential ordered scores
    • D.R. Cox, Some applications of exponential ordered scores, J. Roy. Stat. Soc. B 26 (1964), pp. 103-110.
    • (1964) J. Roy. Stat. Soc. B , vol.26 , pp. 103-110
    • Cox, D.R.1
  • 2
    • 0013824389 scopus 로고
    • Estimation of exponential survival probabilities with concomitant information
    • P. Feigl and M. Zelen, Estimation of exponential survival probabilities with concomitant information, Biometrics 21 (1965), pp. 826-838.
    • (1965) Biometrics , vol.21 , pp. 826-838
    • Feigl, P.1    Zelen, M.2
  • 3
    • 0043044642 scopus 로고
    • Exponential survival with covariance
    • M. Glasser, Exponential survival with covariance, J. Am. Stat. Assoc. 62 (1967), pp. 561-568.
    • (1967) J. Am. Stat. Assoc , vol.62 , pp. 561-568
    • Glasser, M.1
  • 4
    • 0015806615 scopus 로고
    • Exponential survival with censoring and explanatory variables
    • R.L. Prentice, Exponential survival with censoring and explanatory variables, Biometrika 60 (1973), pp. 279-288.
    • (1973) Biometrika , vol.60 , pp. 279-288
    • Prentice, R.L.1
  • 10
    • 0017972683 scopus 로고
    • Theory for optimum accelerated censored life tests for Weibull and extreme value distributions
    • W. Nelson and W.Q. Meeker, Theory for optimum accelerated censored life tests for Weibull and extreme value distributions, Technometrics 20 (1978), pp. 171-177.
    • (1978) Technometrics , vol.20 , pp. 171-177
    • Nelson, W.1    Meeker, W.Q.2
  • 11
    • 0016919169 scopus 로고
    • Theory for optimum censored accelerated life tests for normal and lognormal life distributions
    • W. Nelson and T.J. Kielpinski, Theory for optimum censored accelerated life tests for normal and lognormal life distributions, Technometrics 18 (1976), pp. 105-114.
    • (1976) Technometrics , vol.18 , pp. 105-114
    • Nelson, W.1    Kielpinski, T.J.2
  • 12
    • 34047227321 scopus 로고    scopus 로고
    • Optimal sample size allocation for tests with multiple levels of stress with extreme value regression
    • H.K.T. Ng, P.S. Chan, and N. Balakrishnan, Optimal sample size allocation for tests with multiple levels of stress with extreme value regression, Nav. Res. Log. 54 (2007), pp. 237-249.
    • (2007) Nav. Res. Log , vol.54 , pp. 237-249
    • Ng, H.K.T.1    Chan, P.S.2    Balakrishnan, N.3
  • 14
    • 0026084533 scopus 로고
    • An optimal design of accelerated life test for exponential distribution
    • D.S. Bai and S.W. Chung, An optimal design of accelerated life test for exponential distribution, Reliab. Engring. Syst. Safety 31 (1991), pp. 57-64.
    • (1991) Reliab. Engring. Syst. Safety , vol.31 , pp. 57-64
    • Bai, D.S.1    Chung, S.W.2
  • 15
    • 0026927871 scopus 로고
    • Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring
    • D.S. Bai and S.W. Chung, Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring, IEEE Trans. Reliab. 41 (1992), pp. 400-406.
    • (1992) IEEE Trans. Reliab , vol.41 , pp. 400-406
    • Bai, D.S.1    Chung, S.W.2
  • 16
    • 0027560231 scopus 로고
    • Optimum simple step-stress accelerated life tests for the Weibull distribution and type I censoring
    • D.S. Bai and M.S. Kim, Optimum simple step-stress accelerated life tests for the Weibull distribution and type I censoring, Nav. Res. Log. 40 (1993), pp. 193-210.
    • (1993) Nav. Res. Log , vol.40 , pp. 193-210
    • Bai, D.S.1    Kim, M.S.2
  • 17
    • 0347810434 scopus 로고    scopus 로고
    • Comparisons of optimal accelerated test plans for estimating quantiles of lifetime distribution at the use condition
    • J.I. Park and B.J. Yum, Comparisons of optimal accelerated test plans for estimating quantiles of lifetime distribution at the use condition, Eng. Optim. 31 (1999), pp. 301-328.
    • (1999) Eng. Optim , vol.31 , pp. 301-328
    • Park, J.I.1    Yum, B.J.2
  • 18
    • 22444440839 scopus 로고    scopus 로고
    • A bibliography of accelerated test plans, part I-overview
    • W. Nelson, A bibliography of accelerated test plans, part I-overview, IEEE Trans. Reliab. 54 (2005a), pp. 194-197.
    • (2005) IEEE Trans. Reliab , vol.54 , pp. 194-197
    • Nelson, W.1
  • 19
    • 85008060887 scopus 로고    scopus 로고
    • A bibliography of accelerated test plans, part II - references
    • W. Nelson, A bibliography of accelerated test plans, part II - references, IEEE Trans. Reliab. 54 (2005b), pp. 370-373.
    • (2005) IEEE Trans. Reliab , vol.54 , pp. 370-373
    • Nelson, W.1
  • 20
    • 34047241823 scopus 로고
    • Gertsbakh, Maximum likelihood estimation in a Weibull regression model with Type-I censoring: A Monte Carlo study
    • T. Elperin and I. Gertsbakh, Maximum likelihood estimation in a Weibull regression model with Type-I censoring: A Monte Carlo study, Commun. Stat.- Simul. Comput. 16 (1987), pp. 349-371.
    • (1987) Commun. Stat.- Simul. Comput , vol.16 , pp. 349-371
    • Elperin, T.1
  • 21
    • 0027559728 scopus 로고
    • Percentiles of pivotal ratios for the MLE of the parameters of a Weibull regression model
    • M.M. Bugaighis, Percentiles of pivotal ratios for the MLE of the parameters of a Weibull regression model, IEEE Trans. Reliab. 42 (1993), pp. 97-99.
    • (1993) IEEE Trans. Reliab , vol.42 , pp. 97-99
    • Bugaighis, M.M.1
  • 22
    • 0031180182 scopus 로고    scopus 로고
    • On restricted hypotheses in extreme value regression models
    • G.A. Paula and O.V. Rojas, On restricted hypotheses in extreme value regression models, Comput. Stat. Data Anal. 25 (1997), pp. 143-157.
    • (1997) Comput. Stat. Data Anal , vol.25 , pp. 143-157
    • Paula, G.A.1    Rojas, O.V.2
  • 23
    • 34047201365 scopus 로고    scopus 로고
    • Approximate variance covariance of maximum likelihood estimators for the parameters of extreme value regression models for censored data
    • S.R. Paul and K. Thiagarajah, Approximate variance covariance of maximum likelihood estimators for the parameters of extreme value regression models for censored data, Sankhy.a Ser. B 58 (1996), pp. 28-37.
    • (1996) Sankhy.a Ser. B , vol.58 , pp. 28-37
    • Paul, S.R.1    Thiagarajah, K.2
  • 28
    • 0009989359 scopus 로고
    • A statistical study of log-gamma distribution
    • Ph.D. thesis, McMaster University, Canada
    • P.S. Chan, A statistical study of log-gamma distribution, Ph.D. thesis, McMaster University, Canada, 1993.
    • (1993)
    • Chan, P.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.