# Original reference inputs

All example values were constructed for this publication on 2026-10-16.
They are not observed market series, actual allocations or provider records.
Returns/weights/volatility are decimals; covariance entries are squared decimal
return units at a shared frequency. Aligned arrays are already ordered; no
calendar, currency conversion, deletion or missing-value filling is inferred.

`node reproduce.mjs` prints all sixteen envelopes. `node reproduce.mjs beta`
prints one. Supply a third argument pointing to a JSON input object to calculate
a different example. Unknown keys and invalid types are rejected.

Original code and synthetic inputs: MIT, see LICENSE.txt. Vendored
simple-statistics 7.12.1 retains its ISC licence. Decimal.js 10.6.0 retains its
upstream MIT licence. Both files are included, not fetched at runtime.
JSON numbers first become binary64 values. Decimal.js uses 80 significant
digits for covariance, EWMA and wealth intermediates without recovering digits
lost before parsing. Unrepresentable numerical outputs are rejected.
Original documentation is part of the reference kit. Third-party referenced
research and market data are not included or relicensed by this publication.