Field reliability modeling based on two-dimensional warranty data with censoring times

References

• Akbarov, A., and S. Wu. 2013. Warranty claims data analysis considering sales delay. Quality and Reliability Engineering International 29:113–23.
   Web of Science ®Google Scholar
• Alam, M. M., and K. Suzuki. 2009. Lifetime estimation using only failure information from warranty database. IEEE Transactions on Reliability 58 (4):573–82.
   Web of Science ®Google Scholar
• Baik, J., and D. N. P. Murthy. 2008. Reliability assessment based on two-dimensional warranty data and an accelerated failure time model. International Journal of Reliability and Safety 2 (3):190–27.
   Google Scholar
• Celeux, G., and J. Diebolt. 1985. The SEM algorithm: a probabilistic teacher algorithm derived from the EM algorithm for the mixture problem. Computational Statistics Quarter 2 (1):73–82.
   Google Scholar
• Chauveau, D. 1995. A stochastic SEM algorithm for mixtures with censored data. Journal of Statistical Planning and Inference 46:1–25.
   Web of Science ®Google Scholar
• Freeman, L. J. 2010. Statistical method for reliability data from designed experiments. PhD Dissertation, Virginia Polytechnic Institute and State University, Blackburg.
   Google Scholar
• Gertsbakh, I. B., and K. B. Kordonsky. 1998. Parallel time scales and two-dimensional manufacturer and individual customer warranties. IIE Transactions 30 (12):1181–89.
   Web of Science ®Google Scholar
• Ghosh, S. 2010. An imputation-based approach for parameter estimation in the presence of ambiguous censoring with application in industrial supply chain. The Annals of Applied Statistics 4 (4):1976–99.
   Web of Science ®Google Scholar
• Gupta, S. K., S. De, and A. Chatterjee. 2014. Warranty forecasting from incomplete two-dimensional warranty data. Reliability Engineering and System Safety 126:1–13.
   Web of Science ®Google Scholar
• Hu, X. J., J. F. Lawless, and K. Suzuki. 1998. Nonparametric estimation of a lifetime distribution when censoring times are missing. Technometrics 40 (1):3–13.
   Web of Science ®Google Scholar
• Huang, Y. S., W. Y. Gau, and J. W. Ho 2015. Cost analysis of two-dimensional warranty for products with periodic preventive maintenance. Reliability Engineering and System Safety 134:51–58.
   Web of Science ®Google Scholar
• Iskandar, B. P., and W. R. Blischke 2003. Reliability and warranty analysis of a motorcycle based on claims data. New Jersey: John Wiley & Sons.
   Google Scholar
• Iskandar, B. P., D. N. P. Murthy, and N. Jack. 2005. A new repair–replace strategy for items sold with a two-dimensional warranty. Computers and Operations Research 32:669–82.
   Web of Science ®Google Scholar
• Jack, N., and F. Van Der Duyn Schouten. 2000. Optimal repair-replace strategies for a warranted product. International Journal of Production Economics 67:95–100.
   Web of Science ®Google Scholar
• Jack, N., B. P. Iskandar, and D. N. P. Murthy. 2009. A repair–replace strategy based on usage rate for items sold with a two-dimensional warranty. Reliability Engineering and System Safety 94 (2):611–7.
   Web of Science ®Google Scholar
• Jung, M., and D. S. Bai. 2007. Analysis of field data under two-dimensional warranty. Reliability Engineering and System Safety 92:135–43.
   Web of Science ®Google Scholar
• Kalbfleisch, J. D., and J. F. Lawless. 1988. Estimation of reliability in field-performance studies. Technometrics 30 (4):365–78.
   Web of Science ®Google Scholar
• Lawless, J. F., J. Hu, and J. Cao. 1995. Methods for the estimation of failure distributions and rates from automobile warranty data. Lifetime Data Analysis 1 (3):227–40.
   PubMedGoogle Scholar
• Limon, S., O. P. Yadav, M. J. Zuo, J. Muscha, and R. Honeyman 2016. Reliability estimation considering usage rate profile and warranty claims. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, Singapore.
   Google Scholar
• Majeske, K. D. 2003. A mixture model for automobile warranty data. Reliability Engineering and System Safety 81:71–77.
   Web of Science ®Google Scholar
• Majeske, K. D. 2007. A non-homogeneous Poisson process predictive model for automobile warrant claims. Reliability Engineering and System Safety 92:243–51.
   Web of Science ®Google Scholar
• Marsschner, I. C. 2001. On stochastic versions of the EM algorithm. Biometrika 88:281–6.
   Web of Science ®Google Scholar
• Meeker, W. Q., and Y. Hong. 2014. Reliability meets big data: opportunities and challenges. Quality Engineering 26 (1):102–16.
   Web of Science ®Google Scholar
• Mondal, S., S. Pal, and D. K. Mana. 2003. Cost estimation under renewing warranty policy-An application. Quality Engineering 16 (1):93–98.
   Google Scholar
• Nielsen, S. F. 2000. The stochastic EM algorithm: Estimation and asymptotic results. Bernoulli 6 (3):457–89.
   Web of Science ®Google Scholar
• Oh, Y. S., and D. S. Bai. 2001. Field data analyses with additional after-warranty failure data. Reliability Engineering and System Safety 72 (1):1–8.
   Web of Science ®Google Scholar
• Rai, B., and N. Singh. 2003. Hazard rate estimation from incomplete and unclean warranty data. Reliability Engineering and System Safety 81:79–92.
   Web of Science ®Google Scholar
• Rai, B., and N. Singh. 2005. A modeling framework for assessing the impact of new time/mileage warranty limits on the number and cost of automotive warranty claims. Reliability Engineering and System Safety 88 (2):157–69.
   Web of Science ®Google Scholar
• Rai, B., and N. Singh. 2006. Customer-rush near warranty expiration limit, and nonparametric hazard rate estimation from known mileage accumulation rates. IEEE Transactions on Reliability 55:480–89.
   Web of Science ®Google Scholar
• Shahanaghi, K., R. Noorossana, S. G. Jalali-Naini, and M. Heydari. 2013. Failure modeling and optimizing preventive maintenance strategy during two-dimensional extended warranty contracts. Engineering Failure Analysis 28:90–102.
   Web of Science ®Google Scholar
• Suzuki, K. 1985a. Estimation of lifetime field parameters data from incomplete field data. American Society for Quality 27 (3):263–71.
   Google Scholar
• Suzuki, K. 1985b. Nonparametric estimation from of lifetime and distributions a record failures follow-ups. Journal of the American Statistical Association 80:68–72.
   Web of Science ®Google Scholar
• Wang, Y., Z. Liu, and Y. Liu. 2015. Optimal preventive maintenance strategy for repairable items under two-dimensional warranty. Reliability Engineering and System Safety 142:326–33.
   Web of Science ®Google Scholar
• Wang, Z., and J. Yang. 2012. Numerical method for Weibull generalized renewal process and its applications in reliability analysis of NC machine tools. Computers and Industrial Engineering 63:1128–34.
   Web of Science ®Google Scholar
• Wu, S. 2011. Warranty claim analysis considering human factors. Reliability Engineering and System Safety 96:131–8.
   Web of Science ®Google Scholar
• Wu, S. 2012. Warranty data analysis: A review. Quality and Reliability Engineering International 28 (8):795–805.
   Web of Science ®Google Scholar
• Wu, S. 2014. Construction of asymmetric copulas and its application in two-dimensional reliability modelling. European Journal of Operational Research 238 (2):476–85.
   Web of Science ®Google Scholar
• Yang, D., Z. He, and S. He. 2016. Warranty claims forecasting based on a general imperfect repair model considering usage rate. Reliability Engineering and System Safety 145:147–54.
   Web of Science ®Google Scholar
• Yang, S. C., and J. A. Nachlas. 2001. Bivariate reliability and availability modeling. IEEE Transactions on Reliability 50 (1):26–35.
   Web of Science ®Google Scholar
• Ye, Z., and H. K. T. Ng. 2014. On analysis of incomplete field failure data. The Annals of Applied Statistics 8 (3):1713–27.
   Web of Science ®Google Scholar