參考文獻 |
[1] Burden, R. L., Faires, J. D., and Burden, A. M. (2016). Numerical Analysis, 10th
ed. Cengage Learning, United Kingdom.
[2] Cheng, Y. S. and Peng, C. Y. (2012). Integrated Degradation Models in R Using
iDEMO, Journal of Statistical Software, 49, 1–22.
[3] Di Nardo, E., Nobile, A. G., Pirozzi, E., and Ricciardi, L. M. (2001). A Computational Approach to First-Passage-Time Problems for Gauss-Markov Processes,
Advances in Applied Probability, 33, 453–482.
[4] Ding, Y., Yang, Q., King, C. B., and Hong, Y. (2019). A General Accelerated
Destructive Degradation Testing Model for Reliability Analysis, IEEE Transactions
on Reliability, 68, 1272–1282.
[5] Escobar, L. A., Meeker, W. Q., Kugler, D. L., and Kramer, L. L. (2003). Acceler-
ated Destructive Degradation Tests: Data, Models, and Analysis, Mathematical and
Statistical Methods in Reliability, 7, 319–335.
[6] Gertbsbakh, I. B. and Kordonskiy, K. B. (1969). Models of Failure, Springer-Verlag,
New York.
[7] Gradshteyn, I. S. and Ryzhik, I. M. (2014). Table of Integrals, Series, and Products, 8th ed. Academic Press, Waltham.
[8] Jeng, S. L., Huang, B. Y., and Meeker, W. Q. (2011). Accelerated Destructive
Degradation Tests Robust to Distribution Misspecification, IEEE Transactions on
Reliability, 60, 701–711.
[9] Lange, K. L., Little, R. J. A., and Taylor, J. M. G. (1989). Robust Statistical
Modeling Using the t Distribution, Journal of the American Statistical Association,
84, 881–896.
[10] Li, M. and Doganaksoy, N. (2014). Batch Variability in Accelerated-Degradation
Testing, Journal of Quality Technology, 46, 171–180.
[11] Lu, C. J. and Meeker, W. Q. (1993). Using Degradation Measures to Estimate a
Time-to-Failure Distribution, Technometrics, 35, 161–174.
[12] Meeker, W. Q. and Escobar, L. A. (1998). Statistical Methods for Reliability Data,
John Wiley and Sons, New York.
[13] Nelson, W. (1981). Analysis of Performance-Degradation Data From Accelerated
Tests, IEEE Transactions on Reliability, 30, 149–155.
[14] Nelson, W. B. (1990). Accelerated Testing: Statistical Models, Test Plans, and Data
Analysis, John Wiley and Sons, New York.
[15] Peng, C. Y. and Tseng, S. T. (2009). Mis-Specification Analysis of Linear Degrada-
tion Models, IEEE Transactions on Reliability, 58, 444–455.
[16] Peng, C. Y. (2015). Inverse Gaussian Processes With Random Effects and Explana-
tory Variables for Degradation Data, Technometrics, 57, 100–111.
[17] Peng, C. Y. and Cheng, Y. S. (2016). Threshold Degradation in R Using iDEMO,
Computational Network Analysis with R: Applications in Biology, Medicine and
Chemistry, 83–103.
[18] Peng, C. Y. and Cheng, Y. S. (2020). Student-t Processes for Degradation Analysis,
Technometrics, 62, 223–235.
[19] ReliaSoft Corporation (2015). Destructive Degradation Analysis in Weibull++, Re-
trieved from http://www.weibull.com/hotwire/issue178/hottopics178.htm.
[20] Schrödinger, E. (1915). Zur Theorie der Fall und Steigversuche an Teilchen mit
Brownscher Bewegung, Physikalische Zeitschrift, 16, 289–295.
[21] Shi, Y. and Meeker, W. Q. (2012). Bayesian Methods for Accelerated Destructive
Degradation Test Planning, IEEE Transactions on Reliability, 61, 245–253.
[22] Tweedie, M. C. K. (1957). Statistical Properties of Inverse Gaussian Distributions.
I, Annals of Mathematical Statistics, 28, 362–377.
[23] Tsai, C. C. and Lin, C. T. (2015). Lifetime Inference for Highly Reliable Products Based on Skew-Normal Accelerated Destructive Degradation Test Model, IEEE
Transactions on Reliability, 64, 1340–1355.
[24] Xiao, X. and Ye, Z. (2016). Optimal Design for Destructive Degradation Tests With
Random Initial Degradation Values Using the Wiener Process, IEEE Transactions
on Reliability, 65, 1327–1342.
[25] Xie, Y., King, C. B., Hong, Y., and Yang, Q. (2018). Semi-Parametric Models
for Accelerated Destructive Degradation Test Data Analysis, Technometrics, 60,
222–234.
[26] Zhang, Y. and Liao, H. (2015). Analysis of Destructive Degradation Tests for a Prod-
uct With Random Degradation Initiation Time, IEEE Transactions on Reliability,
64, 516–527.
[27] 童昱翔 (2017)
。
破壞性加速衰變試驗之適合度檢定 , 國立中央大學統計研究所 , 碩士論
文
。
[28] 藍啟豪 (2018)
。
加速破壞性衰變模型之最佳實驗配置 , 國立中央大學統計研究所 , 碩士論文
。 |