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keisanHigh-precision calculations for everyday life and work

Calculating m and k for the Gamma-Poisson-Leisen-Schmidt Model

Author: tonagaiExecutions: 1374

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This program calculates the parameters m and k that appear in the Gamma-Poisson Recency Model—which predicts “When was the last purchase?” and “When was the last visit?”—
using the quasi-Newton method.
Calculations can be performed up to 10 periods back; please enter 0 (not a blank) for any unnecessary periods or penetration rates.
Reference: “Strategic Thinking with Probability: The Power of Mathematical Marketing, Proven at USJ” (Tsuyoshi Morioka, Seiki Imanishi)
Present–Period 1
month(s)
Penetration Rate for Period 1%
Period 2 (from Period 1)
month(s)
Penetration Rate for Period 2%
Period 3 (from Period 2)
month(s)
Penetration Rate for Period 3%
Period 4 (from Period 3)
month(s)
Penetration Rate for Period 4%
Period 5 (from Period 4)
month(s)
Penetration rate for period 5%
Period 6 (from Period 5)
month(s)
Penetration rate for period 6%
Period 7 (from Period 6)
month(s)
Penetration rate for period 7%
Period 8 (from Period 7)
month(s)
Penetration rate for period 8%
Period 9 (from Period 8)
month(s)
Penetration rate for period 9%
Period 10 (from Period 9)
month(s)
Penetration rate for a period of 10%
Parameter m 
Parameter k 

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