BTYDplus (version 1.2.0)

mbgcnbd.Expectation: (M)BG/CNBD-k Expectation

Description

Returns the number of repeat transactions that a randomly chosen customer (for whom we have no prior information) is expected to make in a given time period, i.e. \(E(X(t) | k, r, alpha, a, b)\).

Usage

mbgcnbd.Expectation(params, t)
bgcnbd.Expectation(params, t)

Arguments

params

A vector with model parameters k, r, alpha, a and b, in that order.

t

Length of time for which we are calculating the expected number of repeat transactions.

Value

Number of repeat transactions a customer is expected to make in a time period of length t.

Details

Note: Computational time increases with the number of unique values of t.

References

(M)BG/CNBD-k: Reutterer, T., Platzer, M., & Schroeder, N. (2020). Leveraging purchase regularity for predicting customer behavior the easy way. International Journal of Research in Marketing. 10.1016/j.ijresmar.2020.09.002

Examples

# NOT RUN {
data("groceryElog")
cbs <- elog2cbs(groceryElog)
params <- mbgcnbd.EstimateParameters(cbs)
mbgcnbd.Expectation(params, t = c(26, 52))
# }