Estimates parameters for the BG/NBD model.
calibration period CBS (customer by sufficient statistic). It must contain columns for frequency ("x"), recency ("t.x"), and total time observed ("T.cal"). Note that recency must be the time between the start of the calibration period and the customer's last transaction, not the time between the customer's last transaction and the end of the calibration period.
initial BG/NBD parameters - a vector with r, alpha, a, and b, in that order. r and alpha are unobserved parameters for the NBD transaction process. a and b are unobserved parameters for the Beta geometric dropout process.
the upper bound on parameters.
The best-fitting parameters are determined using the
function. The sum of the log-likelihood for each customer (for a
set of parameters) is maximized in order to estimate parameters.
A set of starting parameters must be provided for this method. If
no parameters are provided, (1,3,1,3) is used as a default. These
values are used because they provide good convergence across data sets. It may
be useful to use starting values for r and alpha that represent your
best guess of the heterogeneity in the buy and die rate of
customers. It may be necessary to run the estimation from multiple
starting points to ensure that it converges. To compare the
log-likelihoods of different parameters, use
The lower bound on the parameters to be estimated is always zero, since BG/NBD parameters cannot be negative. The upper bound can be set with the max.param.value parameter.
This function may take some time to run.
Vector of estimated parameters.
Fader, Peter S.; Hardie, and Bruce G.S.. “Overcoming the BG/NBD Model's #NUM! Error Problem.” December. 2013. Web. http://brucehardie.com/notes/027/bgnbd_num_error.pdf
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data(cdnowSummary) cal.cbs <- cdnowSummary$cbs # cal.cbs already has column names required by method # starting-point parameters startingparams <- c(1.0, 3, 1.0, 3) # estimated parameters est.params <- bgnbd.EstimateParameters(cal.cbs, startingparams) # log-likelihood of estimated parameters bgnbd.cbs.LL(est.params, cal.cbs)