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Volumn 56, Issue 3, 2007, Pages 454-458

On recent generalizations of the Weibull distribution

Author keywords

Bathtub shape; Failure rate function; Weibull distribution

Indexed keywords

FAILURE ANALYSIS; MATHEMATICAL MODELS; RELIABILITY ANALYSIS; RELIABILITY THEORY; WEIBULL DISTRIBUTION;

EID: 34548619891     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2007.903352     Document Type: Article
Times cited : (183)

References (35)
  • 2
    • 33745213787 scopus 로고    scopus 로고
    • Useful periods for lifetime distributions with bathtub shaped hazard rate functions
    • M. Bebbington, C. D. Lai, and R. Zitikis, "Useful periods for lifetime distributions with bathtub shaped hazard rate functions, " IEEE Trans. Reliability, vol. 55, no. 2, pp. 245-251, 2006.
    • (2006) IEEE Trans. Reliability , vol.55 , Issue.2 , pp. 245-251
    • Bebbington, M.1    Lai, C.D.2    Zitikis, R.3
  • 4
    • 33847630878 scopus 로고    scopus 로고
    • M. Bebbington, C. D. Lai, and R. Zitikis, Modeling human mortality using mixtures of bathtub shaped failure distributions, Journal of Theoretical Biology, 2007, 10.1016/j.jtbi.2006.11.011, to appear in.
    • M. Bebbington, C. D. Lai, and R. Zitikis, "Modeling human mortality using mixtures of bathtub shaped failure distributions," Journal of Theoretical Biology, 2007, 10.1016/j.jtbi.2006.11.011, to appear in.
  • 5
    • 0001137633 scopus 로고    scopus 로고
    • A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function
    • Z. Chen, "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics and Probability Letters, vol. 49, pp. 155-161, 2000.
    • (2000) Statistics and Probability Letters , vol.49 , pp. 155-161
    • Chen, Z.1
  • 6
    • 0029127574 scopus 로고
    • Estimating parametric survival model parameters in gerontological aging studies. Methodological problems and insights
    • T. Eakin, R. Shouman, Y. L. Qi, G. X. Liu, and M. Witten, "Estimating parametric survival model parameters in gerontological aging studies. Methodological problems and insights," Journal of Gerontology, Series. A, vol. 50, pp. B166-B176, 1995.
    • (1995) Journal of Gerontology, Series. A , vol.50
    • Eakin, T.1    Shouman, R.2    Qi, Y.L.3    Liu, G.X.4    Witten, M.5
  • 7
    • 34548632957 scopus 로고    scopus 로고
    • B. Gompertz, On the nature of the function expressive of the law of human mortality and on the new model of determining the value of life contingencies, Philosophical Trans. Royal Society of London, 115, pp. 513-585, 1825.
    • B. Gompertz, "On the nature of the function expressive of the law of human mortality and on the new model of determining the value of life contingencies," Philosophical Trans. Royal Society of London, vol. 115, pp. 513-585, 1825.
  • 8
    • 0031140951 scopus 로고    scopus 로고
    • A new statistical distribution for characterizing the random strength of brittle materials
    • M. R. Gurvich, A. T. Dibenedetto, and S. V. Rande, "A new statistical distribution for characterizing the random strength of brittle materials," Journal of Materials Science, vol. 32, pp. 2559-2564, 1997.
    • (1997) Journal of Materials Science , vol.32 , pp. 2559-2564
    • Gurvich, M.R.1    Dibenedetto, A.T.2    Rande, S.V.3
  • 9
    • 0018982982 scopus 로고
    • A reliability distribution with increasing, decreasing, constant and bathtub-shaped failure rate
    • U. Hjorth, "A reliability distribution with increasing, decreasing, constant and bathtub-shaped failure rate," Technometrics, vol. 22, pp. 99-107, 1980.
    • (1980) Technometrics , vol.22 , pp. 99-107
    • Hjorth, U.1
  • 11
    • 34548654727 scopus 로고    scopus 로고
    • J. A. Kies, The strength of glass, Washington D.C., Naval Research Lab. Report No. 5093, 1958.
    • J. A. Kies, "The strength of glass," Washington D.C., Naval Research Lab. Report No. 5093, 1958.
  • 14
    • 3242779265 scopus 로고    scopus 로고
    • Mean residual life and other properties of Weibull related bathtub-shaped failure rate distributions
    • C. Lai, L. Y. Zhang, and M. Xie, "Mean residual life and other properties of Weibull related bathtub-shaped failure rate distributions," International Journal of Reliability, Quality and Safety Engineering, vol. 11, no. 2, pp. 113-132, 2004.
    • (2004) International Journal of Reliability, Quality and Safety Engineering , vol.11 , Issue.2 , pp. 113-132
    • Lai, C.1    Zhang, L.Y.2    Xie, M.3
  • 15
    • 0001324423 scopus 로고    scopus 로고
    • A new method for adding a parameter to a family of distributions 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 distributions with application to the exponential and Weibull families," Biometrika, vol. 84, pp. 641-652, 1997.
    • (1997) Biometrika , vol.84 , pp. 641-652
    • Marshall, A.W.1    Olkin, I.2
  • 16
    • 0027608675 scopus 로고
    • Exponential Weibull family for analyzing bathtub failure-rate data
    • G. S. Mudholkar and D. K. Srivastava, "Exponential Weibull family for analyzing bathtub failure-rate data," IEEE Trans. Reliability, vol. 42, pp. 299-302, 1993.
    • (1993) IEEE Trans. Reliability , vol.42 , pp. 299-302
    • Mudholkar, G.S.1    Srivastava, D.K.2
  • 17
  • 18
    • 33750145710 scopus 로고    scopus 로고
    • Analysis of instantaneous and early failures in Weibull distribution
    • P
    • K. Muralidharan and P. Lathika, "Analysis of instantaneous and early failures in Weibull distribution," Metrika, vol. 64, pp. 305-316, 2006, P (2006).
    • (2006) Metrika , vol.64 , pp. 305-316
    • Muralidharan, K.1    Lathika, P.2
  • 20
    • 29344443512 scopus 로고    scopus 로고
    • On some recent modifications of Weibull distribution
    • S. Nadarajah and S. Kotz, "On some recent modifications of Weibull distribution," IEEE Trans. Reliability, vol. 54, no. 4, pp. 561-562, 2005.
    • (2005) IEEE Trans. Reliability , vol.54 , Issue.4 , pp. 561-562
    • Nadarajah, S.1    Kotz, S.2
  • 21
    • 20144364785 scopus 로고    scopus 로고
    • On the moments of the modified Weibull distribution
    • Oct
    • S. Nadarajah, "On the moments of the modified Weibull distribution," Reliability Engineering and System Safety, vol. 90, pp. 114-117, Oct. 2005.
    • (2005) Reliability Engineering and System Safety , vol.90 , pp. 114-117
    • Nadarajah, S.1
  • 23
    • 27844474258 scopus 로고    scopus 로고
    • Parameter estimation for a modified Weibull distribution, for progressively Type-II censored samples
    • Sept
    • H. K. T. Ng, "Parameter estimation for a modified Weibull distribution, for progressively Type-II censored samples," IEEE Trans. Reliability vol. 54, pp. 374-380, Sept. 2005.
    • (2005) IEEE Trans. Reliability , vol.54 , pp. 374-380
    • Ng, H.K.T.1
  • 24
    • 31344481896 scopus 로고    scopus 로고
    • A Chi-squared test for the generalized power Weibull family for the head-and-neck cancer censored data
    • M. Nikulin and F. Haghighi, "A Chi-squared test for the generalized power Weibull family for the head-and-neck cancer censored data," Journal of Mathematical Sciences, vol. 133, no. 3, pp. 1333-1341, 2006.
    • (2006) Journal of Mathematical Sciences , vol.133 , Issue.3 , pp. 1333-1341
    • Nikulin, M.1    Haghighi, F.2
  • 25
    • 10444273164 scopus 로고    scopus 로고
    • On interval estimation of the coefficient of variation for the three-parameter Weibull, lognormal and gamma distribution: A simulation-based approach
    • July
    • W. K. Pang, P. K. Leung, and W. K. Huang et al., "On interval estimation of the coefficient of variation for the three-parameter Weibull, lognormal and gamma distribution: A simulation-based approach," European Journal of Operational Research, vol. 164, pp. 367-377, July 2005.
    • (2005) European Journal of Operational Research , vol.164 , pp. 367-377
    • Pang, W.K.1    Leung, P.K.2    Huang, W.K.3
  • 26
    • 34548616916 scopus 로고    scopus 로고
    • A vtub-shaped hazard rate function with applications to system safety
    • March
    • H. Pham, "A vtub-shaped hazard rate function with applications to system safety," International Journal of Reliability and Applications, vol. 3, pp. 1-16, March 2002.
    • (2002) International Journal of Reliability and Applications , vol.3 , pp. 1-16
    • Pham, H.1
  • 28
    • 0008496184 scopus 로고
    • An exponential power life-testing distribution
    • R. M. Smith and L. J. Bain, "An exponential power life-testing distribution," Communications Statistics, vol. 4, pp. 469-481, 1975.
    • (1975) Communications Statistics , vol.4 , pp. 469-481
    • Smith, R.M.1    Bain, L.J.2
  • 29
    • 0002481339 scopus 로고
    • Survival distributions arising from two families and generated by transformations,
    • D. J. Slymen and P. A. Lachenbruch, "Survival distributions arising from two families and generated by transformations, " Communications in Statistics - Theory and Methods, vol. 13, pp. 1179-1201, 1984, (1984).
    • (1984) Communications in Statistics - Theory and Methods , vol.13 , pp. 1179-1201
    • Slymen, D.J.1    Lachenbruch, P.A.2
  • 30
    • 84987266075 scopus 로고
    • A statistical distribution function of wide applicability
    • W. Weibull, "A statistical distribution function of wide applicability," J. Applied Mechanics, vol. 18, pp. 293-297, 1951.
    • (1951) J. Applied Mechanics , vol.18 , pp. 293-297
    • Weibull, W.1
  • 31
    • 0000197496 scopus 로고
    • The moments of log-Weibull order statistics
    • J. S. White, "The moments of log-Weibull order statistics," Technometrics, vol. 11, pp. 373-386, 1969.
    • (1969) Technometrics , vol.11 , pp. 373-386
    • White, J.S.1
  • 32
    • 22444448284 scopus 로고    scopus 로고
    • Bathtub shaped failure rates from mixtures: A practical point of view
    • June
    • E. I. Wondmagegnehu, J. Navarro, and P. J. Hernandez, "Bathtub shaped failure rates from mixtures: A practical point of view," IEEE Trans. Reliability, vol. 54, pp. 270-275, June 2005.
    • (2005) IEEE Trans. Reliability , vol.54 , pp. 270-275
    • Wondmagegnehu, E.I.1    Navarro, J.2    Hernandez, P.J.3
  • 33
    • 0030122796 scopus 로고
    • Reliability analysis using additive Weibull model with bathtub-shaped failure rate function
    • M. Xie and C. D. Lai, "Reliability analysis using additive Weibull model with bathtub-shaped failure rate function," Reliability Engineering and System Safety, vol. 52, pp. 87-93, 1995.
    • (1995) Reliability Engineering and System Safety , vol.52 , pp. 87-93
    • Xie, M.1    Lai, C.D.2
  • 34
    • 0036604308 scopus 로고    scopus 로고
    • A modified Weibull extension with bathtub-shaped failure rate function
    • M. Xie, Y. Tang, and T. N. Goh, "A modified Weibull extension with bathtub-shaped failure rate function," Reliability Engineering & System Safety, vol. 76, pp. 279-285, 2002.
    • (2002) Reliability Engineering & System Safety , vol.76 , pp. 279-285
    • Xie, M.1    Tang, Y.2    Goh, T.N.3
  • 35
    • 33646078342 scopus 로고    scopus 로고
    • Bias correction for the least squares estimator of Weibull shape parameter with complete and censored data
    • Aug
    • L. F. Zhang, M. Xie, and L. C. Tang, "Bias correction for the least squares estimator of Weibull shape parameter with complete and censored data," Reliability Engineering & System Safety, vol. 91, pp. 930-939, Aug. 2006.
    • (2006) Reliability Engineering & System Safety , vol.91 , pp. 930-939
    • Zhang, L.F.1    Xie, M.2    Tang, L.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.