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The BG/BB model is to my knowledge the only one out there for Discrete Time, Non-Contractual modeling. However, a lot of people don't realize this model is for a different use case than the others in lifetimes (myself included when I first started using the library). Maybe rename the model class to DiscreteNonContractModel for clarity instead?
https://www.brucehardie.com/papers/020/fader_et_al_mksc_10.pdf
Equation (14) on page 6 of the research paper is an expression for discounted present value of all expected future transactions, which is an interesting alternative to the current customer_lifetime_value implementation.
alexwilde01, juanitorduz and larryshamalama