THE RESULT
What the data shows
The largest computed metric is 366 for maximum; the smallest is 0 for minimum. Metric: days (Days).
Only repeat purchasers contribute observed intervals. Right-censored intervals after the final purchase are absent.

| statistic | days |
|---|---|
| minimum | 0 |
| p10 | 0.01181 |
| p25 | 6.845 |
| median | 21.92 |
| p75 | 51.04 |
| p90 | 103 |
| p99 | 252 |
| maximum | 366 |
THE METHOD
From source to answer
Distinct invoices, within-customer chronological differences and interval buckets.
The Python source exposes this study’s transformations. The complete project download includes shared preparation and evaluation routines.
THE NEXT DECISION
What follows from the finding
Use purchase cadence to propose a reminder experiment with a fixed observation window.
Where the conclusion stops
Historical invoice lines; credits are not reliably matched to original sales. Gross purchases are not profit. Unidentified customers cannot support customer-level conclusions. Exact repeated lines remain unless the study explicitly compares removal.
Related studies may reuse observations or holdouts. These are historical analyses; associations and backtests do not demonstrate commercial impact. Further model tuning needs new, untouched evaluation data.