Browse > Article

Two­Dimensional Warranty Data Modelling  

Jai Wook Baik (Department of Information Statistics, Korea National Open University)
Jin Nam Jo (Department of Data ＆ Information Science, Dongduk Women′s University)
Publication Information
Journal of Korean Society for Quality Management / v.31, no.4, 2003 , pp. 219-225 More about this Journal
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
Two­dimensional warranty data; Bivariate model; Marked point process; One­dimensional point process;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Blischke, W.R. and Murthy, D.N.P.[Eds.](1996), Product Warranty Handbook, MarcelDekker, Inc., New York
2 Kalbfleisch, J.D., Lawless, J.F. and Robinson,J.A.(1991), "Methods for the analysis andprediction of warranty claims," Technometrics, 33,273-28   DOI   ScienceOn
3 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   DOI   ScienceOn
4 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
5 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   DOI   ScienceOn
6 Singpurwalla, N.D. and Wilson, S.P.(1998),"Failure models indexed by two scales," Advancesin Applied Probability, 30, 1058-1072   DOI   ScienceOn
7 Yang, S-C and Nachlas, J.A.(2001), "Bivariatereliability and availability modelling," IEEETransactions on Reliability, 50, 26-35   DOI   ScienceOn
8 Iskandar, B.P.(1993), "Modelling and Analysisof Two Dimensional Warranties Policies," DoctoralDissertation, The University of Queensland,Australia
9 Kalbfleisch, J.D. and Lawless, J.F.(1998),"Estimation of Reliability in Field-PerformanceStudies(with Discussion) ," Technometrics, 30,365-388   DOI   ScienceOn
10 Lawless, J.F.(1998), "Statistical analysis of product warranty data," International StatisticalReview, 66, 41-60   ScienceOn
11 Johnson, N.L. and Kotz, S.(1972), Distributionsin Statistics: Continuous Multivariate Distributions,John Wiley & Sons, Inc
12 Lu, J.C. and Bhattacharyya, G.K.(1990),"Some new constmctions of bivariate Weibullmodels," Ann. Inst. Statist. Math, 42, 543-549   DOI
13 Blischke, W.R., and Murthy, D.N.P.(1994),Warranty Cost Analysis, Marcel Dekker, Inc., NewYork