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“How to Project Customer Retention” Revisited: The Role of Duration Dependence

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  • Fader, Peter S.
  • Hardie, Bruce G.S.
  • Liu, Yuzhou
  • Davin, Joseph
  • Steenburgh, Thomas

Abstract

Cohort-level retention rates typically increase over time, and the beta-geometric (BG) distribution has proven to be a robust model for capturing and projecting these patterns into the future. According to this model, the phenomenon of increasing cohort-level retention rates is purely due to cross-sectional heterogeneity; an individual customer’s propensity to churn does not change over time. In this paper we present the beta-discrete-Weibull (BdW) distribution as an extension to the BG model, one that allows individual-level churn probabilities to increase or decrease over time. In addition to capturing the phenomenon of increasing cohort-level retention rates, this new model can also accommodate situations in which there is an initial dip in retention rates before they increase (i.e., a U-shaped cohort-level retention curve). A key finding is that even when aggregate retention rates are monotonically increasing, the individual-level churn probabilities are unlikely to be declining over time, as conventional wisdom would suggest. We carefully explore these connections between heterogeneity, duration dependence, and the shape of the retention curve, and draw some managerially relevant conclusions, e.g., that accounting for cross-sectional heterogeneity is more important than accounting for any individual-level dynamics in churn propensities.

Suggested Citation

  • Fader, Peter S. & Hardie, Bruce G.S. & Liu, Yuzhou & Davin, Joseph & Steenburgh, Thomas, 2018. "“How to Project Customer Retention” Revisited: The Role of Duration Dependence," Journal of Interactive Marketing, Elsevier, vol. 43(C), pages 1-16.
    • Handle: RePEc:eee:joinma:v:43:y:2018:i:c:p:1-16
    DOI: 10.1016/j.intmar.2018.01.002
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    References listed on IDEAS

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    1. Kiefer, Nicholas M, 1988. "Economic Duration Data and Hazard Functions," Journal of Economic Literature, American Economic Association, vol. 26(2), pages 646-679, June.
    2. Mark Israel, 2005. "Tenure Dependence in Consumer-Firm Relationships: An Empirical Analysis of Consumer Departures from Automobile Insurance Firms," RAND Journal of Economics, The RAND Corporation, vol. 36(1), pages 165-192, Spring.
    3. Gianna Giudicati & Massimo Riccaboni & Anna Romiti, 2013. "Experience, socialization and customer retention: Lessons from the dance floor," Marketing Letters, Springer, vol. 24(4), pages 409-422, December.
    4. Peter S. Fader & Bruce G. S. Hardie, 2010. "Customer-Base Valuation in a Contractual Setting: The Perils of Ignoring Heterogeneity," Marketing Science, INFORMS, vol. 29(1), pages 85-93, 01-02.
    5. Lemmens, A. & Croux, C., 2006. "Bagging and boosting classification trees to predict churn," Other publications TiSEM d5cb664d-5859-44db-a621-e, Tilburg University, School of Economics and Management.
    6. Ruth N. Bolton, 1998. "A Dynamic Model of the Duration of the Customer's Relationship with a Continuous Service Provider: The Role of Satisfaction," Marketing Science, INFORMS, vol. 17(1), pages 45-65.
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    1. Christof Naumzik & Stefan Feuerriegel & Markus Weinmann, 2022. "I Will Survive: Predicting Business Failures from Customer Ratings," Marketing Science, INFORMS, vol. 41(1), pages 188-207, January.

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