Predicting Purchase Rates in Stationary Markets.
NBD Program
Predicting purchase rates in stationary markets
(b): 0.2
(w): 2.1
(t): 12 weeks
Penetration (b)
1 day 1 week 4 weeks 12 weeks 24 weeks 48 weeks 365 days
0.005 0.032 0.1 0.2 0.277 0.355 0.364
Purchase frequency (w)
1 day 1 week 4 weeks 12 weeks 24 weeks 48 weeks 365 days
1.015 1.106 1.401 2.1 3.036 4.729 5.007
Repat purchase (%)
1 day 1 week 4 weeks 12 weeks 24 weeks 48 weeks 365 days
2.966 16.82 40.99 61.646 71.615 78.885 79.597
Purchase frequency of buyers
1 day 1 week 4 weeks 12 weeks 24 weeks 48 weeks 365 days
1.028 1.184 1.634 2.548 3.666 5.596 5.908
Purchase frequency of new buyers
1 day 1 week 4 weeks 12 weeks 24 weeks 48 weeks 365 days
0.005 0.032 0.113 0.304 0.581 1.128 1.222
Proportion -
1 day 1 week 4 weeks 12 weeks 24 weeks 48 weeks 365 days
not buying 0.995 0.968 0.900 0.800 0.723 0.645 0.636
buying once 0.005 0.029 0.073 0.106 0.114 0.112 0.111
twice 0.000 0.003 0.018 0.043 0.055 0.060 0.060
3 times 0.000 0.000 0.006 0.022 0.033 0.039 0.040
4 times 0.000 0.000 0.002 0.012 0.021 0.028 0.029
5 times 0.000 0.000 0.001 0.007 0.014 0.021 0.022
Proportion of sales due to those buying -
1 day 1 week 4 weeks 12 weeks 24 weeks 48 weeks 365 days
buying once 0.970 0.820 0.522 0.252 0.135 0.067 0.061
twice 0.029 0.150 0.262 0.206 0.131 0.071 0.066
3 times 0.001 0.025 0.121 0.155 0.117 0.070 0.065
4 times 0.000 0.004 0.054 0.113 0.101 0.067 0.063
5 times 0.000 0.001 0.024 0.081 0.086 0.063 0.059
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East, R. and Wright, M. and Vanhuele, M. (2013). Consumer Behaviour: Applications in Marketing. SAGE Publications, pp. 72-85.
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Repeat-Buying: Facts,Theory and Applications, 2nd edn. A.S.C. Ehrenberg, 1988, London, Charles Griffin, ISBN 0 85264 287 3 Book Review: Repeat-Buying:Facts,Theory and Applications by A.S.C. Ehrenberg. Norman Pigden. The Statistician, Vol. 40, No. 3, Special Issue (1991), pp. 349-350.
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Brasini, S., Tassinari, F., & Tassinari, G. (1999). Marketing e pubblicità: metodi di analisi statistica. Il mulino, pp. 207-215.