Campus Units

Statistics

Document Type

Article

Publication Version

Published Version

Publication Date

6-2020

Journal or Book Title

The Annals of Applied Statistics

Volume

14

Issue

2

First Page

929

Last Page

955

DOI

10.1214/20-AOAS1333

Abstract

Warranty return data from repairable systems, such as home appliances, lawn mowers, computers and automobiles, result in recurrent event data. The nonhomogeneous Poisson process (NHPP) model is used widely to describe such data. Seasonality in the repair frequencies and other variabilities, however, complicate the modeling of recurrent event data. Not much work has been done to address the seasonality, and this paper provides a general approach for the application of NHPP models with dynamic covariates to predict seasonal warranty returns. The methods presented here, however, can be applied to other applications that result in seasonal recurrent event data. A hierarchical clustering method is used to stratify the population into groups that are more homogeneous than the overall population. The stratification facilitates modeling the recurrent event data with both time-varying and time-constant covariates. We demonstrate and validate the models using warranty claims data for two different types of products. The results show that our approach provides important improvements in the predictive power of monthly events compared with models that do not take the seasonality and covariates into account.

Comments

This article is published as Shan, Qianqian, Yili Hong, and William Q. Meeker. "Seasonal warranty prediction based on recurrent event data." Annals of Applied Statistics 14, no. 2 (2020): 929-955. doi:10.1214/20-AOAS1333. Posted with permission.

Copyright Owner

Institute of Mathematical Statistics

Language

en

File Format

application/pdf

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