Case Study 2: Analysis of Automobile Components Warranty Claims Data

  • Wallace R. Blischke
  • M. Rezaul Karim
  • D. N. Prabhakar Murthy
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


This chapter presents an analysis of 2-D warranty claims data on a component of an automobile. The objectives of the study are to (i) present a preliminary analysis of the claims data, (ii) investigate the relationship between age and usage, (iii) select suitable probability models for age conditional on usage rate, (iv) model two variables, age and usage, using a single (composite scale) variable, and (v) discuss the managerial implications that focus on the practical use of the information regarding component reliability and warranty for cost-benefit analysis.


Failure Mode Weibull Distribution Usage Rate Claim Data Empirical Distribution Function 
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  1. 1.
    Baik J, Murthy DNP, Jack N (2004) Two-dimensional failure modelling and minimal repair. Nav Res Logist 51:345ᾢ362MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    Blischke WR, Murthy DNP (eds) (1996) Product warranty handbook. Marcel dekker, Inc., New yorkGoogle Scholar
  3. 3.
    Iskandar BP, Blischke WR (2003) Reliability and warranty analysis of a motorcycle based on claims data. In: Blischke WR, Murthy DNP (eds) Case studies in reliability and maintenance. wiley, New york, pp 623ᾢ656Google Scholar
  4. 4.
    Jiang R, Jardine AKS (2006) Composite scale modeling in the presence of censored data. Reliab Eng Sys Saf 91:756ᾢ764CrossRefGoogle Scholar
  5. 5.
    Karim MR (2008) Modelling sales lag and reliability of an automobile component from warranty database. Int J Reliab Saf 2:234ᾢ247CrossRefGoogle Scholar
  6. 6.
    Karim MR, Suzuki K (2004) Analysis of field failure warranty data with sales lag. Pakistan J Statist 20:93ᾢ102MathSciNetMATHGoogle Scholar
  7. 7.
    Kim HG, Rao BM (2000) Expected warranty cost of a two-attribute free-replacement warranties based on a bi-variate exponential distribution. Comput Ind Eng 38:425ᾢ434CrossRefGoogle Scholar
  8. 8.
    Lawless JF, Hu XJ, Cao J (1995) Methods for the estimation of failure distributions and rates from automobile warranty data. Lifetime Data Anal 1:227ᾢ240MATHCrossRefGoogle Scholar
  9. 9.
    Lu MW (1998) Automotive reliability prediction based on early field failure warranty data. Qual Reliab Eng Int 14:103ᾢ108CrossRefGoogle Scholar
  10. 10.
    Majeske KD (2003) A mixture model for automobile warranty data. Reliab Eng Sys Saf 81:71ᾢ77CrossRefGoogle Scholar
  11. 11.
    Manna DK, Pal S, Sinha S (2006) Optimal determination of warranty region for 2D policy: A customers’ perspective. Comput Ind Eng 50:161ᾢ174CrossRefGoogle Scholar
  12. 12.
    Manna DK, Pal S, Sinha S (2007) A use-rate based failure model for two-dimensional warranty. Comput Ind Eng 52:229ᾢ240CrossRefGoogle Scholar
  13. 13.
    Manna DK, Pal S, Sinha S (2008) A note on calculating cost of two-dimensional warranty policy. Comput Ind Eng 54:1071ᾢ1077CrossRefGoogle Scholar
  14. 14.
    Moskowitz H, Chun YH (1994) A Poisson regression model for two-attribute warranty policies. Nav Res Logist 41:355ᾢ376MATHCrossRefGoogle Scholar
  15. 15.
    Murthy DNP, Iskandar BP, Wilson RJ (1995) two-dimensional failure free warranties: Two-dimensional point process models. Oper Res 43:356ᾢ366MATHCrossRefGoogle Scholar
  16. 16.
    Pal S, Murthy GSR (2003) An application of Gumbel’s bivariate exponential distribution in estimation of warranty cost of motorcycles. Int J Qual Reliab Manag 20:488ᾢ502CrossRefGoogle Scholar
  17. 17.
    Rai B, Singh N (2003) Hazard rate estimation from incomplete and unclean warranty data. Reliab Eng Sys Saf 81:79ᾢ92CrossRefGoogle Scholar
  18. 18.
    Rai B, Singh N (2004) Modeling and analysis of automobile warranty data in presence of bias due to customer-rush near warranty expiration limit. Reliab Eng Sys Saf 86:83ᾢ94CrossRefGoogle Scholar
  19. 19.
    Rai B, Singh N (2005) A modeling framework for assessing the impact of new time/mileage warranty limits on the number and cost of automotive warranty claims. Reliab Eng Sys Saf 88:157ᾢ169CrossRefGoogle Scholar
  20. 20.
    Rai B, Singh N (2006) Customer-rush near warranty expiration limit and nonparametric hazard rate estimation from the known mileage accumulation rates. IEEE Trans Reliab 55:480ᾢ489CrossRefGoogle Scholar
  21. 21.
    Suzuki K, Karim MR, Wang L (2001) Statistical analysis of reliability warranty data. In: Balakrishnan N, Rao CR (eds) Handbook of statistics: advances in reliabilityᾢVolume 20. Elsevier Science, New York, pp 585ᾢ609Google Scholar
  22. 22.
    Yang G, Zaghati Z (2002) Two-dimensional reliability modeling from warranty data. Proc Annu Reliab Maintainab Symp 272-278Google Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Wallace R. Blischke
    • 1
  • M. Rezaul Karim
    • 2
  • D. N. Prabhakar Murthy
    • 3
  1. 1.Sherman Oaks, Los AngelesUSA
  2. 2.Department of StatisticsRajshahi UniversityRajshahiBangladesh
  3. 3.School of Mechanical and Mining EngineeringThe University of QueenslandBrisbaneAustralia

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