參考文獻 |
[1] Akaike, H. (1974). “A new look at the statistical model identification.” IEEE Transac-
tions on Automatic Control, 19, 716-723.
[2] Bai, D.S., Kim, M.S. and Lee, S.H. (1989). “Optimum simple step-stress accelerated life
tests with censoring.” IEEE Transactions on Reliability, 38, 528-532.
[3] Balakrishnan, N., Kundu, D., Ng, H.K.T., and Kannan, N. (2007). “Point and interval
estimation for a simple step-stress model with Type-II censoring.” Journal of Quality
Technology, 39, 35-47.
[4] Berger, J.O. (1985). Statistical Decision Theory and Bayesian Analysis. 2nd Ed.
Springer, New York.
[5] Carlin, B.P. and Louis, T.A. (2008). Bayesian Methods in Data Analysis. 3rd Ed., Boca
Raton, FL: Chapman and Hall/CRC Press.
[6] Casella, G. and Berger R.L. (2002). Statistical Inference. 2nd Ed., Buxbury, Los Angeles.
[7] Chaloner, K. and Larntz, K. (1992). “Bayesian design for accelerated life testing.” Jour-
nal of Statistical Planning and Inference, 33, 245-259.
[8] Cohen, A.C. (1963). “Progressively censored samples in life testing.” Technome-
tries, 5, 327-329.
[9] Cox, C., Chu, H., Schneider, F. and Munoz, A. (2007). “Parametric survival analysis
and taxonomy of hazard functions for the generalized gamma distribution.” Statistics in
Medicine, 26, 4352-4374.
[10] Efron, B. (1979). “Bootstrap method:another look at the jacknife.” Annals of Statis-
tics, 17, 1-26.
[11] Fan T.H., Wang W.L. and Balakrishnan, N. (2008). “Exponential progressive step-stress
life-testing with link function based on Box-Cox transformation.” Journal of Statistical
Planning and Inference, 138, 2340-2354.
[12] Fan, T.H., Balakrishnan, N. and Chang, C.C. (2009). “The Bayesian approach for highly
reliable electro-explosive devices using one-shot device testing.” Journal of Statistical
Computation and Simulation, 79, 1143-1154.
[13] Fan, T.H. and Yu, C.H. (2012). “Statistical inference on constant stress accelerated
life tests under generalized gamma lifetime distribution.” To appear in Quality and
Reliability Engineering International. .
[14] Gomes, O., Combes, C. and Dussauchoy, A. (2008). “Parameter estimation of the generalized
gamma distribution.” Mathematics and Computers in Simulation, 79, 955-963.
[15] Hager, H.W. and Bain, L.J. (1970). “Inference procedures for the gerneralized gamma
distribution.” Journal of the American Statistical Association, 65, 1601-1609.
[16] Hastings, W.K. (1970). “Monte Carlo sampling methods using Markov chains and their
application.” Biometrika, 57, 97-109.
[17] Intajag, S. and Sukkasem, N. (2009). “Speckle filtering by generalized gamma distribution.”
NCM ’09 Proceedings of the 2009 Fifth International Joint Conference on INC,
IMS and IDC. 1335-1338.
[18] Kateri, M. and Balakrishnan, N. (2008). “Inference for a Simple Step-Stress Model
With Type-II Censoring, and Weibull Distributed Lifetimes.” IEEE Transactions on
Reliability, 57, 616-626.
[19] Lawless, J.F. (1980). “Inference in the generalized gamma and log-gamma distribution.”
Technometrics, 22, 409-419.
[20] Lawless, J.F. (2003). Statistical Models and Methods for Lifetime Data. 2nd Ed. Wiley
Sons, New York.
[21] Lee, J. and Pan, R. (2008). “Bayesian inference models for step-stress accelerated life
testing with type-II censoring.”Proceedings Annual Reliability and Maintainability Sym-
posium. 91-96.
[22] Miller, R. and Nelson, W. (1983). “Optimum simple step stress plans for accelerated life
testing.” IEEE Transactions on Reliability, 32, 59-65.
[23] Nadarajah, S. and Gupta, A.K. (2007). “A generalized gamma distribution with application
to drought data.” Mathematics and computers in simulation, 74, 1-7.
[24] Nelson,W. (1980). “Accelerated life testing - step-stress models and data analysis.” IEEE
Transactions on Reliability, 29, 103-108.
[25] Newton, M.A. and Raftery, A.E. (1994). “Approximate Bayesian inference with the
weighted likelihood bootstrap.” Journal of the Royal Statistical Society, Series B, 56, 3-
48.
[26] Noortwijk, V. and Jan, M. (2004). “Bayes estimates of flood quantiles using the
Generalised Gamma Distribution.” In System and Bayesian Reliability. 5, 351-374,
Y.Hayakawa, T.Irony and M. Xie (Eds.), World Scientific.
[27] Ortega, E.M.M., Cancho, V.G. and Paula, G.A. (2009). “Generalized log-gamma regression
models with cure fraction.” Lifetime Data Analysis, 15, 79-106.
[28] Pascoa, M.A.R., Ortega, E.M.M., Cordeiro, G.M. and Paranaiba, P.F. (2011). “The Kumaraswamy
generalized gamma distribution with application in survival analysis.” Sta-
tistical Methodology, 8, 411-433.
[29] Robert, C.P. (2001). The Bayesian Choice:From Decision-Theoretic Foundations to Com-
putational Implementation. Springer, New York.
[30] Schwarz, G. (1978). “Estimating the dimension of a model.” Annals of Statistics, 6, 461-
464.
[31] Stacy, E.W. (1962). “A generalization of the gamma distribution.” Annals of Mathemat-
ical Statistics, 33, 1187-1192.
[32] Teng, S.L. and Yeo, K.P. (2002). “A least-squares approach to analyzing lifestress relationship
instep-stress accelerated life tests.” IEEE Transactions on Reliability, 51, 177-
182.
[33] Watkins, A.J. and John, A.M. (2008). “On constant stress accelerated life tests terminated
by Type II censoring at one of the stress levels.” Journal of Statistical Planning
and Inference, 138, 768-786.
[34] Xie, X. and Liu, X. (2009). “Analytical three-moment autoconversion parameterization
based on generalized gamma distribution.” IEEE Transactions on Reliability, 37, 550-
555.
[35] Xiong, C. (1998). “Inferences on a simple step-stress model with Type-II censored exponential
data.” IEEE Transactions on Reliability, 47, 142-146.
[36] Zhao, W. and Elsayed, E. (2005). “A general accelerated life model for step-stress testing.”
IIE Transactions, 37, 1059-1069.
[37] 陳奕君(2011). ”具廣義伽瑪壽命分佈之系統在隱蔽資料加速壽命試驗下之可靠度分析.” 國立
中央大學統計研究所碩士論文.
[38] 蘇岏智(2011). ”串聯系統存在隱蔽資料之可靠度分析以廣義伽瑪分配為例.” 國立中央大學統
計研究所碩士論文.
|