Calculating the parameter K for the negative binomial distribution (NBD) model
Author: tonagaiExecutions: 5339
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Pen: Penetration rate (in %)
M: Average number of purchases per unit period (number of votes per person for the company’s brand within a given period)
M: Average number of purchases per unit period (number of votes per person for the company’s brand within a given period)

| K |

There isn’t a solution for all values of Pen and M. See the graph above.
- Related links
Negative Binomial Distribution Model (NBD Model) for the Probability of Purchase Frequency
I’ve uploaded a calculation using the NBD model (negative binomial distribution) to determine the probability of purchase frequency to Casio’s high-precision calculation site, keisan.casio.jp! (After watching Professor Hayashi’s interview with Takeshi Morioka, I became interested in “mathematical marketing,” so I bought and read *Strategic Thinking Based on Probabilistic Thinking*.)
I uploaded the calculation for parameter K—which determines the probability distribution of the NBD model (negative binomial distribution) used to estimate the probability of purchase frequency—to Casio’s high-precision calculation site, keisan.casio.jp! (After watching Professor Hayashi’s interview with Takeshi Morioka, I became interested in “mathematical marketing,” so I bought and read *Strategic Thinking Based on Probabilistic Thinking*.)
Delishley NBD Model: Probability of Purchasing the Company’s Own Brand Within a Category
Delischlé NBD Model: Own-Brand Purchase Rate: Probability of Purchase
I uploaded the calculation for parameter K—which determines the probability distribution of the NBD model (negative binomial distribution) used to estimate the probability of purchase frequency—to Casio’s high-precision calculation site, keisan.casio.jp! (After watching Professor Hayashi’s interview with Takeshi Morioka, I became interested in “mathematical marketing,” so I bought and read *Strategic Thinking Based on Probabilistic Thinking*.)
No customer feedback for this calculation yet.
Reference: “Strategic Thinking Based on Probability: The Power of Mathematical Marketing, Proven at USJ” (Tsuyoshi Morioka, Seiki Imanishi)