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Volumn 49, Issue 3, 2008, Pages 513-529

A family of shrinkage estimators for Weibull shape parameter in censored sampling

Author keywords

Bias; Guessed value; Mean squared error; Percent relative efficiency; Progressive type II censoring; Shape parameter; Weibull distribution

Indexed keywords


EID: 42449087752     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00362-006-0030-7     Document Type: Article
Times cited : (6)

References (56)
  • 1
    • 42449106961 scopus 로고
    • Approximate Bayesian estimates for the Weibull reliability function and hazard rate from censored data
    • Abdel-Wahid AR, Winterbottom A (1987) Approximate Bayesian estimates for the Weibull reliability function and hazard rate from censored data. J Stat Plann Infer 16:277-283
    • (1987) J Stat Plann Infer , vol.16 , pp. 277-283
    • Abdel-Wahid, A.R.1    Winterbottom, A.2
  • 2
    • 0015379482 scopus 로고
    • Inferences based in censored sampling from Weibull or extreme-value distribution
    • Bain LJ (1972) Inferences based in censored sampling from Weibull or extreme-value distribution. Technometrics 14:693-703
    • (1972) Technometrics , vol.14 , pp. 693-703
    • Bain, L.J.1
  • 4
    • 0020826276 scopus 로고
    • A performance comparison of empirical Bayes and Bayes estimators of the Weibull and gamma scale parameters
    • Canavos GC (1983) A performance comparison of empirical Bayes and Bayes estimators of the Weibull and gamma scale parameters. Naval Res Logist Quart 30:465-470
    • (1983) Naval Res Logist Quart , vol.30 , pp. 465-470
    • Canavos, G.C.1
  • 5
  • 6
    • 42449144339 scopus 로고
    • A new empirical Bayes estimator with Type-II censored data
    • Dey DK, Kuo L (1991) A new empirical Bayes estimator with Type-II censored data. Comput Stat & Data Anal 12:271-279
    • (1991) Comput Stat & Data Anal , vol.12 , pp. 271-279
    • Dey, D.K.1    Kuo, L.2
  • 7
    • 0016540949 scopus 로고
    • On simple estimation of the parameters of the Weibull or extreme-value distribution
    • 3
    • Engelhardt M (1975) On simple estimation of the parameters of the Weibull or extreme-value distribution. Technometrics 17(3):369-374
    • (1975) Technometrics , vol.17 , pp. 369-374
    • Engelhardt, M.1
  • 8
    • 0002980512 scopus 로고
    • Some complete and censored sampling results for the Weibull or extreme-value distribution
    • Engelhardt M, Bain LJ (1973) Some complete and censored sampling results for the Weibull or extreme-value distribution. Technometrics 15:541-549
    • (1973) Technometrics , vol.15 , pp. 541-549
    • Engelhardt, M.1    Bain, L.J.2
  • 9
    • 0016030593 scopus 로고
    • Some results on point estimation for the two-parameter Weibull or extreme-value distribution
    • Engelhardt M, Bain LJ (1974) Some results on point estimation for the two-parameter Weibull or extreme-value distribution. Technometrics 16:49-56
    • (1974) Technometrics , vol.16 , pp. 49-56
    • Engelhardt, M.1    Bain, L.J.2
  • 10
    • 0020140241 scopus 로고
    • New practical Bayes estimators for the 2-parameter Weibull distribution
    • Erto P (1982) New practical Bayes estimators for the 2-parameter Weibull distribution. IEEE Trans Reliab 31:194-197
    • (1982) IEEE Trans Reliab , vol.31 , pp. 194-197
    • Erto, P.1
  • 11
    • 14544304457 scopus 로고    scopus 로고
    • Discussion on application of the Weibull distribution to electrical breakdown of insulating materials
    • 1
    • Fabiani D, Simoni L (2005) Discussion on application of the Weibull distribution to electrical breakdown of insulating materials. IEEE Trans Dielect Elect Insulation 12(1):11-16
    • (2005) IEEE Trans Dielect Elect Insulation , vol.12 , pp. 11-16
    • Fabiani, D.1    Simoni, L.2
  • 12
    • 0036736276 scopus 로고    scopus 로고
    • Reliability tests for Weibull distribution with varying shape parameter based on complete data
    • 3
    • Hisada K, Arizino I (2002) Reliability tests for Weibull distribution with varying shape parameter based on complete data. IEEE Trans Reliab 51(3):331-336
    • (2002) IEEE Trans Reliab , vol.51 , pp. 331-336
    • Hisada, K.1    Arizino, I.2
  • 13
    • 0026138462 scopus 로고
    • A class of shrinkage estimators for the scale parameter of the exponential distribution
    • Jani PN (1991) A class of shrinkage estimators for the scale parameter of the exponential distribution. IEEE Trans Reliab 40:68-70
    • (1991) IEEE Trans Reliab , vol.40 , pp. 68-70
    • Jani, P.N.1
  • 16
    • 29344444787 scopus 로고    scopus 로고
    • A simple procedure for Bayesian estimation of the Weibull distribution
    • 4
    • Kaminskiy MP, Krivtsov VV (2005) A simple procedure for Bayesian estimation of the Weibull distribution. IEEE Trans Reliab 54(4):612-616
    • (2005) IEEE Trans Reliab , vol.54 , pp. 612-616
    • Kaminskiy, M.P.1    Krivtsov, V.V.2
  • 17
    • 0028509788 scopus 로고
    • Estimation in the 2-parameter exponential distribution with prior information
    • 3
    • Kourouklis S (1994) Estimation in the 2-parameter exponential distribution with prior information. IEEE Trans Reliab 43(3):446-450
    • (1994) IEEE Trans Reliab , vol.43 , pp. 446-450
    • Kourouklis, S.1
  • 18
    • 84980142262 scopus 로고
    • Bayesian approach to prediction in complete and censored samples from the weibull population
    • Lingappaiah GS (1977) Bayesian approach to prediction in complete and censored samples from the weibull population. Metron 35:167-180
    • (1977) Metron , vol.35 , pp. 167-180
    • Lingappaiah, G.S.1
  • 20
    • 0036687990 scopus 로고    scopus 로고
    • How to estimate the parameters of a Weibull distribution
    • 8
    • Locks MO (2002) How to estimate the parameters of a Weibull distribution. Quality Prog 35(8): 59-64
    • (2002) Quality Prog , vol.35 , pp. 59-64
    • Locks, M.O.1
  • 21
    • 0016540549 scopus 로고
    • Simplified efficient point and interval estimators for Weibull parameters
    • 3
    • Mann NR, Fertig KW (1975) Simplified efficient point and interval estimators for Weibull parameters. Technometrics 17(3):361-368
    • (1975) Technometrics , vol.17 , pp. 361-368
    • Mann, N.R.1    Fertig, K.W.2
  • 24
    • 0031206988 scopus 로고    scopus 로고
    • Optimum estimators for the Weibull distribution of censored data
    • 4
    • Montanari GC, Cacciari M (1997) Optimum estimators for the Weibull distribution of censored data. IEEE Trans Dielect Elect Insulation 4(4):462-469
    • (1997) IEEE Trans Dielect Elect Insulation , vol.4 , pp. 462-469
    • Montanari, G.C.1    Cacciari, M.2
  • 25
    • 0041856459 scopus 로고    scopus 로고
    • A generalization of the Weibull distribution with application to the analysis of survival data
    • 436
    • Mudholkar GS, Srivastava DK (1996) A generalization of the Weibull distribution with application to the analysis of survival data. J Am Stat Assoc 91(436):1575-1583
    • (1996) J Am Stat Assoc , vol.91 , pp. 1575-1583
    • Mudholkar, G.S.1    Srivastava, D.K.2
  • 26
    • 0020772029 scopus 로고
    • Shrunken estimators of Weibull shape parameters in censored samples
    • Pandey M (1983) Shrunken estimators of Weibull shape parameters in censored samples. IEEE Trans Reliab R-32:200-203
    • (1983) IEEE Trans Reliab R , vol.32 , pp. 200-203
    • Pandey, M.1
  • 27
    • 84989938178 scopus 로고
    • A Bayesian approach to shrinkage estimation of the scale parameter of a Weibull distribution
    • Pandey M (1988) A Bayesian approach to shrinkage estimation of the scale parameter of a Weibull distribution. South Af Stat J 22:1-13
    • (1988) South Af Stat J , vol.22 , pp. 1-13
    • Pandey, M.1
  • 28
    • 42449114900 scopus 로고
    • Estimating the shape parameter of the Weibull distribution by shrinkage towards an interval
    • Pandey BN, Singh KN (1984) Estimating the shape parameter of the Weibull distribution by shrinkage towards an interval. South Af Stat J 18:1-11
    • (1984) South Af Stat J , vol.18 , pp. 1-11
    • Pandey, B.N.1    Singh, K.N.2
  • 29
    • 0027557667 scopus 로고
    • Shrunken estimators of Weibull shape parameter from Type-II censored samples
    • Pandey M, Singh US (1993) Shrunken estimators of Weibull shape parameter from Type-II censored samples. IEEE Trans Reliab 42:81-86
    • (1993) IEEE Trans Reliab , vol.42 , pp. 81-86
    • Pandey, M.1    Singh, U.S.2
  • 30
    • 0022221714 scopus 로고
    • Bayesian shrinkage estimation of Weibull parameters
    • Pandey M, Upadhyay SK (1985) Bayesian shrinkage estimation of Weibull parameters. IEEE Trans Reliab R-34:491-494
    • (1985) IEEE Trans Reliab R , vol.34 , pp. 491-494
    • Pandey, M.1    Upadhyay, S.K.2
  • 31
    • 42449143478 scopus 로고
    • Selection based on modified likelihood ratio and adaptive estimation from a censored sample
    • Pandey M, Upadhyay SK (1986) Selection based on modified likelihood ratio and adaptive estimation from a censored sample. J Ind Stat Assoc 24:43-52
    • (1986) J Ind Stat Assoc , vol.24 , pp. 43-52
    • Pandey, M.1    Upadhyay, S.K.2
  • 32
    • 0347664738 scopus 로고
    • Shrinkage testimators for the shape parameter of Weibull distribution under Type II censoring
    • Pandey BN, Malik HJ, Srivastava R (1989) Shrinkage testimators for the shape parameter of Weibull distribution under Type II censoring. Commun Stat-Theory Meth 18:1175-1199
    • (1989) Commun Stat-Theory Meth , vol.18 , pp. 1175-1199
    • Pandey, B.N.1    Malik, H.J.2    Srivastava, R.3
  • 33
    • 0016494685 scopus 로고
    • Bayesian confidence bounds for the Weibull failure model
    • Papadopoulos AS, Tsokos CP (1975) Bayesian confidence bounds for the Weibull failure model. IEEE Trans Reliab 24:21-26
    • (1975) IEEE Trans Reliab , vol.24 , pp. 21-26
    • Papadopoulos, A.S.1    Tsokos, C.P.2
  • 34
    • 42449134493 scopus 로고
    • Shrunken estimation in Weibull distribution
    • Singh J, Bhatkulikar SG (1978) Shrunken estimation in Weibull distribution. Sankhya 39:382-393
    • (1978) Sankhya , vol.39 , pp. 382-393
    • Singh, J.1    Bhatkulikar, S.G.2
  • 35
    • 10144248743 scopus 로고    scopus 로고
    • Estimation in the two-parameter Weibull distribution with prior information
    • 2
    • Singh HP, Shukla SK (2000) Estimation in the two-parameter Weibull distribution with prior information. IAPQR Trans 25(2):107-118
    • (2000) IAPQR Trans , vol.25 , pp. 107-118
    • Singh, H.P.1    Shukla, S.K.2
  • 36
    • 10144252881 scopus 로고    scopus 로고
    • Improved estimation of Weibull shape parameter with prior information in censored sampling
    • 1
    • Singh HP, Saxena S (2002) Improved estimation of Weibull shape parameter with prior information in censored sampling. IAPQR Trans 27(1):51-62
    • (2002) IAPQR Trans , vol.27 , pp. 51-62
    • Singh, H.P.1    Saxena, S.2
  • 37
    • 84988555918 scopus 로고    scopus 로고
    • A class of shrinkage estimators for variance of a normal population
    • Singh HP, Saxena S (2003) A class of shrinkage estimators for variance of a normal population. Braz J Probab Stat 17:41-56
    • (2003) Braz J Probab Stat , vol.17 , pp. 41-56
    • Singh, H.P.1    Saxena, S.2
  • 39
    • 0001889741 scopus 로고
    • An interactive PC-based procedure for reliability assessment incorporating expert opinion and survival data
    • Singpurwalla ND (1988) An interactive PC-based procedure for reliability assessment incorporating expert opinion and survival data. J Am Stat Assoc 83:43-51
    • (1988) J Am Stat Assoc , vol.83 , pp. 43-51
    • Singpurwalla, N.D.1
  • 40
    • 0024055911 scopus 로고
    • Reliability analysis using Weibull life-time data and expert opinion
    • Singpurwalla ND, Song MS (1988) Reliability analysis using Weibull life-time data and expert opinion. IEEE Trans Reliab 37:340-347
    • (1988) IEEE Trans Reliab , vol.37 , pp. 340-347
    • Singpurwalla, N.D.1    Song, M.S.2
  • 41
    • 42449092480 scopus 로고
    • Reliability estimation with Type-I censoring of a mixture of Weibull distributions, vol IV
    • 2
    • Sinha SK (1982) Reliability estimation with Type-I censoring of a mixture of Weibull distributions, vol IV. Publications of Institute of Statistics, University of Paris 27(2):75-92
    • (1982) Publications of Institute of Statistics, University of Paris , vol.27 , pp. 75-92
    • Sinha, S.K.1
  • 42
    • 42449105336 scopus 로고
    • Bayes estimation of the reliability function and hazard rate of a Weibull failure time distribution
    • Sinha SK (1986) Bayes estimation of the reliability function and hazard rate of a Weibull failure time distribution. Trabajos de Estadistica 37:47-56
    • (1986) Trabajos de Estadistica , vol.37 , pp. 47-56
    • Sinha, S.K.1
  • 43
    • 38149144709 scopus 로고
    • Bayesian estimation of the parameters and reliability function of a mixture of Weibull life distributions
    • Sinha SK (1987) Bayesian estimation of the parameters and reliability function of a mixture of Weibull life distributions. J Stat Plan Infer 16:377-387
    • (1987) J Stat Plan Infer , vol.16 , pp. 377-387
    • Sinha, S.K.1
  • 44
    • 0001433639 scopus 로고
    • Bayesian analysis of life-testing problems involving the Weibull distribution
    • Sinha SK, Guttman I (1988) Bayesian analysis of life-testing problems involving the Weibull distribution. Commun Stat Theory Meth 17:356-343
    • (1988) Commun Stat Theory Meth , vol.17 , pp. 356-343
    • Sinha, S.K.1    Guttman, I.2
  • 45
    • 0024092321 scopus 로고
    • Bayes estimation of the parameters and reliability function of the 3-parameter Weibull distribution
    • Sinha SK, Sloan JA (1988) Bayes estimation of the parameters and reliability function of the 3-parameter Weibull distribution. IEEE Trans Reliab 37:364-356
    • (1988) IEEE Trans Reliab , vol.37 , pp. 364-356
    • Sinha, S.K.1    Sloan, J.A.2
  • 46
    • 34548157419 scopus 로고
    • Prediction interval for a mixture of Weibull failure-time distributions: A Bayesian approach
    • Sinha SK, Sloan JA (1989) Prediction interval for a mixture of Weibull failure-time distributions: a Bayesian approach. South Af Stat J 23:119-130
    • (1989) South Af Stat J , vol.23 , pp. 119-130
    • Sinha, S.K.1    Sloan, J.A.2
  • 47
    • 0023532708 scopus 로고
    • A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution
    • Smith RL, Naylor JC (1987) A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution. Appl Stat 36:358-369
    • (1987) Appl Stat , vol.36 , pp. 358-369
    • Smith, R.L.1    Naylor, J.C.2
  • 49
    • 0013371541 scopus 로고
    • Bayesian analysis of the Weibull process with unknown scale parameter
    • Soland RM (1967) Bayesian analysis of the Weibull process with unknown scale parameter. IEEE Trans Reliab 17:84-90
    • (1967) IEEE Trans Reliab , vol.17 , pp. 84-90
    • Soland, R.M.1
  • 50
    • 49049101795 scopus 로고
    • Some shrinkage techniques for estimating the mean
    • Thompson JR (1968) Some shrinkage techniques for estimating the mean. J Am Stat Assoc 63: 113-123
    • (1968) J Am Stat Assoc , vol.63 , pp. 113-123
    • Thompson, J.R.1
  • 51
    • 26944455378 scopus 로고
    • Bayesian analysis of the Weibull failure model under stochastic variation of the shape and scale parameters
    • Tsokos CP, Rao ANV (1976) Bayesian analysis of the Weibull failure model under stochastic variation of the shape and scale parameters. Metron. 34:201-218
    • (1976) Metron. , vol.34 , pp. 201-218
    • Tsokos, C.P.1    Rao, A.N.V.2
  • 54
    • 84987266075 scopus 로고
    • A statistical distribution function of wide applicability
    • Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18:293-297
    • (1951) J Appl Mech , vol.18 , pp. 293-297
    • Weibull, W.1
  • 55
    • 42449160208 scopus 로고
    • General Motors Research Publications, GMR-717 General Motors Corporation, Warren
    • White JS (1967) The moments of Log-Weibull order statistics, General Motors Research Publications, GMR-717 General Motors Corporation, Warren
    • (1967) The Moments of Log-Weibull Order Statistics
    • White, J.S.1
  • 56
    • 0037091896 scopus 로고    scopus 로고
    • EOQ inventory model for items with Weibull distribution deterioration, time-varying demand and partial backlogging
    • 5
    • Wu Kun-Shan (2002) EOQ inventory model for items with Weibull distribution deterioration, time-varying demand and partial backlogging. Int J Syst Sci 33(5):323-329
    • (2002) Int J Syst Sci , vol.33 , pp. 323-329
    • Kun-Shan, W.1


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