A Simplified and Numerically Stable Approach to the BG/NBD Churn Prediction model

Fuente: arXiv
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Autori principali: Zammit, Dylan, Zerafa, Christopher
Natura: Preprint
Pubblicazione: 2025
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author Zammit, Dylan
Zerafa, Christopher
author_facet Zammit, Dylan
Zerafa, Christopher
contents This study extends the BG/NBD churn probability model, addressing its limitations in industries where customer behaviour is often influenced by seasonal events and possibly high purchase counts. We propose a modified definition of churn, considering a customer to have churned if they make no purchases within M days. Our contribution is twofold: First, we simplify the general equation for the specific case of zero purchases within M days. Second, we derive an alternative expression using numerical techniques to mitigate numerical overflow or underflow issues. This approach provides a more practical and robust method for predicting customer churn in industries with irregular purchase patterns.
format Preprint
id arxiv_https___arxiv_org_abs_2502_12912
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Simplified and Numerically Stable Approach to the BG/NBD Churn Prediction model
Zammit, Dylan
Zerafa, Christopher
Other Statistics
Machine Learning
Statistics Theory
This study extends the BG/NBD churn probability model, addressing its limitations in industries where customer behaviour is often influenced by seasonal events and possibly high purchase counts. We propose a modified definition of churn, considering a customer to have churned if they make no purchases within M days. Our contribution is twofold: First, we simplify the general equation for the specific case of zero purchases within M days. Second, we derive an alternative expression using numerical techniques to mitigate numerical overflow or underflow issues. This approach provides a more practical and robust method for predicting customer churn in industries with irregular purchase patterns.
title A Simplified and Numerically Stable Approach to the BG/NBD Churn Prediction model
topic Other Statistics
Machine Learning
Statistics Theory
url https://arxiv.org/abs/2502.12912