Age-based warranty data analysis without date-specific sales information

Lianhua Wang, Kazuyuki Suzuki, Wataru Yamamoto

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Age-based analysis of warranty claim data forms the basis for the estimation, prediction, and comparison of claims across different product groups or across time. The age of a product means the elapsed calendar time since the product was sold or entered service. In this article, we develop a method to deal with situations when the information on date-specific sales amounts is not available but the total sales quantity can be determined from other sources. Date-specific sales amounts, i.e. the number of products sold on different dates, are difficult to determine for many products from many wholesalers and retailers around the world. We consider the problem of maximum likelihood estimation of the expected number of claims for repairable items based on a non-homogeneous Poisson process model, and of the probability of a claim for non-repairable items based on a multinomial model. These estimators derived for the above two cases are in a closed-form expression and are the same. We carry out numerical simulation to evaluate the effectiveness of these proposed estimators by comparing them with those obtained under the assumption that date-specific sales amounts are available.

Original languageEnglish
Pages (from-to)323-337
Number of pages15
JournalApplied Stochastic Models in Business and Industry
Issue number3
Publication statusPublished - 2002 Jul
Externally publishedYes


  • Maximum likelihood estimator
  • Multinomial model
  • Non-homogeneous Poisson process
  • Realibility evaluation

ASJC Scopus subject areas

  • Modelling and Simulation
  • Business, Management and Accounting(all)
  • Management Science and Operations Research


Dive into the research topics of 'Age-based warranty data analysis without date-specific sales information'. Together they form a unique fingerprint.

Cite this