메뉴 건너뛰기




Volumn 80, Issue 3, 2010, Pages 241-254

A bayes analysis of modified Weibull distribution via Markov chain Monte Carlo simulation

Author keywords

Bathtub hazard rate; Gibbs sampler; Markov chain Monte Carlo; Metropolis algorithm; Modified Weibull distribution; Partial predictive p value; Predictive simulation

Indexed keywords


EID: 77649153251     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/00949650802600730     Document Type: Article
Times cited : (66)

References (34)
  • 6
    • 0030122796 scopus 로고
    • Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function
    • M. Xie and C.D. Lai, Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function, Reliab. Eng. Syst. Saf. 52 (1995), pp. 87-93.
    • (1995) Reliab. Eng. Syst. Saf. , vol.52 , pp. 87-93
    • Xie, M.1    Lai, C.D.2
  • 7
    • 0034563348 scopus 로고    scopus 로고
    • A new model with bathtub-shaped failure rate using an additive Burr XII distribution
    • F.K. Wang, A new model with bathtub-shaped failure rate using an additive Burr XII distribution, Reliab. Eng. Syst. Saf. 70 (2000), pp. 305-312.
    • (2000) Reliab. Eng. Syst. Saf. , vol.70 , pp. 305-312
    • Wang, F.K.1
  • 8
    • 0027608675 scopus 로고
    • Exponentiated Weibull family for analysing bathtub failure rate data
    • G.S. Mudholkar and D.K. Srivastava, Exponentiated Weibull family for analysing bathtub failure rate data, IEEE Trans. Reliab. 42(2) (1993), pp. 299-302.
    • (1993) Ieee Trans. Reliab. , vol.42 , Issue.2 , pp. 299-302
    • Mudholkar, G.S.1    Srivastava, D.K.2
  • 9
    • 0018982982 scopus 로고
    • A reliability distribution with increasing, decreasing, constant and bathtub-shaped failure rates
    • U. Hjorth, A reliability distribution with increasing, decreasing, constant and bathtub-shaped failure rates, Technometrics 22(1) (1980), pp. 99-107.
    • (1980) Technometrics , vol.22 , Issue.1 , pp. 99-107
    • Hjorth, U.1
  • 11
    • 27844474258 scopus 로고    scopus 로고
    • Parameter Estimation for a Modified Weibull Distribution for Progressively type-II Censored Samples
    • H.K.T. Ng, Parameter Estimation for a Modified Weibull Distribution for Progressively type-II Censored Samples, IEEE Trans. Reliab. 54(3) (2005), pp. 374-380.
    • (2005) IEEE Trans. Reliab. , vol.54 , Issue.3 , pp. 374-380
    • Ng, H.K.T.1
  • 16
    • 84950453304 scopus 로고
    • Sampling based approaches to calculating marginal densities
    • A.E. Gelfand and A.F.M. Smith, Sampling based approaches to calculating marginal densities, J. Am. Stat. Assoc. 85 (1990), pp. 398-409.
    • (1990) J. Am. Stat. Assoc. , vol.85 , pp. 398-409
    • Gelfand, A.E.1    Smith, A.F.M.2
  • 17
    • 0003053548 scopus 로고
    • Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods
    • A.F.M. Smith and G.O. Roberts, Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods, J. Roy. Stat. Soc. B 55 (1993), pp. 2-23.
    • (1993) J. Roy. Stat. Soc. B , vol.55 , pp. 2-23
    • Smith, A.F.M.1    Roberts, G.O.2
  • 18
    • 0028581045 scopus 로고
    • Modeling complexities in reliability, and the role of simulation in Bayesian computation
    • S.K. Upadhyay and A.F.M. Smith, Modeling complexities in reliability, and the role of simulation in Bayesian computation, Int. J. cont. Eng. 4 (1994), pp. 93-104.
    • (1994) Int. J. Cont. Eng. , vol.4 , pp. 93-104
    • Upadhyay, S.K.1    Smith, A.F.M.2
  • 19
    • 36048946244 scopus 로고    scopus 로고
    • Bayesian analysis of inverse Gaussian and non linear regression by simulation
    • S.K. Upadhyay, R. Agrawal and A.F.M. Smith, Bayesian analysis of inverse Gaussian and non linear regression by simulation, Sankhya B, 58 (1996), pp. 363-378.
    • (1996) Sankhya B , vol.58 , pp. 363-378
    • Upadhyay, S.K.1    Agrawal, R.2    Smith, A.F.M.3
  • 20
    • 36048960371 scopus 로고    scopus 로고
    • Bayes inference in life testing and reliability via Markov chain Monte Carlo simulation
    • S.K. Upadhyay, N. Vasishta, and A.F.M. Smith, Bayes inference in life testing and reliability via Markov chain Monte Carlo simulation, Sankhya A 63(1) (2001), pp. 15-40.
    • (2001) Sankhya A , vol.63 , Issue.1 , pp. 15-40
    • Upadhyay, S.K.1    Vasishta, N.2    Smith, A.F.M.3
  • 22
    • 0000439370 scopus 로고
    • Bayesianly justifiable and relevant frequency calculations for the applied statistician
    • D.B. Rubin, Bayesianly justifiable and relevant frequency calculations for the applied statistician, Ann. Stat. 12 (1984), pp. 1151-1172.
    • (1984) Ann. Stat. , vol.12 , pp. 1151-1172
    • Rubin, D.B.1
  • 23
    • 25444484077 scopus 로고    scopus 로고
    • Posterior predictive assessment of model fitness via realized discrepancies
    • A. Gelman, X.L. Meng, and H.S. Stern, Posterior predictive assessment of model fitness via realized discrepancies, Stat. Sin. 6 (1996), pp. 733-807.
    • (1996) Stat. Sin. , vol.6 , pp. 733-807
    • Gelman, A.1    Meng, X.L.2    Stern, H.S.3
  • 24
    • 0003011165 scopus 로고    scopus 로고
    • Quantifying surprise in the data and model verification
    • J.M. Bernardo, J.O. Berger, A.P. Dawid, Smith, A.F.M. eds., 6, Oxford University Press, London
    • M.J. Bayarri and J.O. Berger, Quantifying surprise in the data and model verification, J.M. Bernardo, J.O. Berger, A.P. Dawid, Smith, A.F.M. eds., in Bayesian Statistics, 6, Oxford University Press, London, pp. 53-82.
    • Bayesian Statistics
    • Bayarri, M.J.1    Berger, J.O.2
  • 26
    • 0001803816 scopus 로고    scopus 로고
    • Model determination using sampling based methods
    • W.R. Gilks, S. Richardson, and D.J. Spiegelhalter, eds., Chapman & Hall, London
    • A.E. Gelfand, Model determination using sampling based methods, in Markov chain Monte Carlo in practice, W.R. Gilks, S. Richardson, and D.J. Spiegelhalter, eds., Chapman & Hall, London, 1996, pp. 145-161.
    • (1996) Markov Chain Monte Carlo In Practice , pp. 145-161
    • Gelfand, A.E.1
  • 27
    • 0002876195 scopus 로고
    • The use of the concept of a future observation in goodness-of-fit problems
    • I. Guttman, The use of the concept of a future observation in goodness-of-fit problems, J. R. Stat. Soc. B 29 (1967), pp. 83-100.
    • (1967) J. R. Stat. Soc. B , vol.29 , pp. 83-100
    • Guttman, I.1
  • 28
    • 67949091385 scopus 로고    scopus 로고
    • A Bayes analysis of the Birnbaum-Saunders distribution using the Gibbs sampler approach
    • S.K. Upadhyay et al
    • S.K. Upadhyay and M. Peshwani, A Bayes analysis of the Birnbaum-Saunders distribution using the Gibbs sampler approach, in Bayesian Statistics and Its Applications S.K. Upadhyay et al., (2006), pp. 438-455.
    • (2006) Bayesian Statistics and Its Applications , pp. 438-455
    • Upadhyay, S.K.1    Peshwani, M.2
  • 30
    • 0000324169 scopus 로고
    • Adaptive rejection sampling for Gibbs Sampling
    • W.R. Gilks and P. Wild, Adaptive rejection sampling for Gibbs Sampling, Appl. Stat. 41 (1992), pp. 337-348.
    • (1992) Appl. Stat. , vol.41 , pp. 337-348
    • Gilks, W.R.1    Wild, P.2
  • 31
    • 0023326910 scopus 로고
    • How to identify bathtub hazard rate
    • M.V. Aarset, How to identify bathtub hazard rate, IEEE Trans. Reliab. 36(1) (1987), pp. 106-108.
    • (1987) IEEE Trans. Reliab. , vol.36 , Issue.1 , pp. 106-108
    • Aarset, M.V.1
  • 32
    • 0041856459 scopus 로고    scopus 로고
    • A generalization of the Wiebull distribution with application to the analysis of survival data
    • G.S. Mudholkar, D.K. Srivastava, and G.D. Kollia, A generalization of the Wiebull distribution with application to the analysis of survival data, J. Amer. Statist. Assoc. 91(436) (1996), pp. 1575-1583.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , Issue.436 , pp. 1575-1583
    • Mudholkar, G.S.1    Srivastava, D.K.2    Kollia, G.D.3
  • 33
    • 0036604308 scopus 로고    scopus 로고
    • A modified Wiebull extension with bathtub shaped failure rate function
    • M. Xie, Y. Tang, and T.N. Goh, A modified Wiebull extension with bathtub shaped failure rate function, Reliab. Engng. Syst. Safety 76 (2002), pp. 279-285.
    • (2002) Reliab. Engng. Syst. Safety , vol.76 , pp. 279-285
    • Xie, M.1    Tang, Y.2    Goh, T.N.3
  • 34


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.