Journal of Korean Society for Quality Management (품질경영학회지)

Korean Society for Quality Management (한국품질경영학회)
권호 표지

Two­Dimensional Warranty Data Modelling

2차원 품질보증데이터 모델링

  • Jai Wook Baik (Department of Information Statistics, Korea National Open University) ;
  • Jin Nam Jo (Department of Data ＆ Information Science, Dongduk Women′s University)
  • Published : 2003.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

Two­dimensional warranty data can be modelled using two different approaches： two­dimensional point process and one­dimensional point process with usage as a function of age. The first approach has three different models. First of all, bivariate model is appealing but is not appropriate for explaining warranty claims. Next, the rest of the two models (marked point process, and counting and matching on both directions independently) are more appropriate for explaining warranty claims. However, the second one (counting and matching on both directions independently) assumes that the two variables (variables representing the two­dimensions) are independent. Last of all, one­dimensional point process with usage as a function of age is also promising to explain the two­dimensional warranty claims. But the models or variations of them need more investigation to be applicable to real warranty claim data.

Keywords

References

  1. Blischke, W.R., and Murthy, D.N.P.(1994),Warranty Cost Analysis, Marcel Dekker, Inc., NewYork
  2. Blischke, W.R. and Murthy, D.N.P.[Eds.](1996), Product Warranty Handbook, MarcelDekker, Inc., New York
  3. Iskandar, B.P.(1993), "Modelling and Analysisof Two Dimensional Warranties Policies," DoctoralDissertation, The University of Queensland,Australia
  4. Johnson, N.L. and Kotz, S.(1972), Distributionsin Statistics: Continuous Multivariate Distributions,John Wiley & Sons, Inc
  5. Kalbfleisch, J.D., Lawless, J.F. and Robinson,J.A.(1991), "Methods for the analysis andprediction of warranty claims," Technometrics, 33,273-28 https://doi.org/10.2307/1268780
  6. Kalbfleisch, J.D. and Lawless, J.F.(1998),"Estimation of Reliability in Field-PerformanceStudies(with Discussion) ," Technometrics, 30,365-388 https://doi.org/10.2307/1269797
  7. Kim, H.G. and Rao, B.M.(2000), "Expectedwarranty cost of a two-attribute free-replacementwarranties based on a bivariate exponentialdistribution," Computers and IndustrialEngineering, 38, 425-434 https://doi.org/10.1016/S0360-8352(00)00055-3
  8. Lawless, J.F.(1998), "Statistical analysis of product warranty data," International StatisticalReview, 66, 41-60
  9. Lawless, J.F. and Kalbfleisch, J.D.(1992),"Some issues in the collection and analysis of fieldreliability data," in Survival Analysis: State of theArt (J.P. Klein and P.K. Goel eds.), Kluwer,Amsterdam, 141-152
  10. Lu, J.C. and Bhattacharyya, G.K.(1990),"Some new constmctions of bivariate Weibullmodels," Ann. Inst. Statist. Math, 42, 543-549 https://doi.org/10.1007/BF00049307
  11. Murthy, D.N.R, Iskandar, B.P and Wilson,R.J.(1995), "Two dimensional failure freewarranties: Two-dimensional point processmodels," Operations Research, 43, 356-366 https://doi.org/10.1287/opre.43.2.356
  12. Singpurwalla, N.D. and Wilson, S.P.(1998),"Failure models indexed by two scales," Advancesin Applied Probability, 30, 1058-1072 https://doi.org/10.1239/aap/1035228207
  13. Yang, S-C and Nachlas, J.A.(2001), "Bivariatereliability and availability modelling," IEEETransactions on Reliability, 50, 26-35 https://doi.org/10.1109/24.935013