arXiv Open Access 2025

Cohort Revenue & Retention Analysis: A Bayesian Approach

Juan Camilo Orduz
Lihat Sumber

Abstrak

We present a Bayesian approach to model cohort-level retention rates and revenue over time. We use Bayesian additive regression trees (BART) to model the retention component which we couple with a linear model for the revenue component. This method is flexible enough to allow adding additional covariates to both model components. This Bayesian framework allows us to quantify uncertainty in the estimation, understand the effect of covariates on retention through partial dependence plots (PDP) and individual conditional expectation (ICE) plots, and most importantly, forecast future revenue and retention rates with well-calibrated uncertainty through highest density intervals. We also provide alternative approaches to model the retention component using neural networks and inference through stochastic variational inference.

Topik & Kata Kunci

Penulis (1)

J

Juan Camilo Orduz

Format Sitasi

Orduz, J.C. (2025). Cohort Revenue & Retention Analysis: A Bayesian Approach. https://arxiv.org/abs/2504.16216

Akses Cepat

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Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓