DMSD Phase 3D — Scale-Normalized Density Model
先以 normalized logarithmic-integral mass 作一階 prime-density baseline，再只看 observed − baseline residual。
Scale grammar base
Valid scale k
Baseline
每個 normalized bin 用 ∫dx/log x 的質量，再正規化到整個 scale block。
Residual
observed normalized histogram − PNT/li baseline；另顯示 standardized residual 作 diagnostic。
Raw center bias
PNT center bias
Residual bias
Bias explained
Observed vs PNT baseline
ObservedPNT/li baseline
Current metrics
畫面聚合成 10 柱；正值表示 observed 高於 baseline，負值表示低於 baseline。
High-scale bias decomposition
| Scale | raw | PNT | residual | explained |
|---|
Residual caution
Residual JS
descriptive mismatch to baseline
Std residual
(obs−expected)/√expected diagnostic
Not assumed
independent Poisson primes
Not proved
residual limiting law
| Anchor | Base | Matched k | Residual bias | Residual JS | RMS std residual |
|---|