spc_cusum — SPC change op

• データ種: signal → table

• 呼び出し: import fullseye as fs; fs.ledger.spc_cusum(signal, target, k=0.5, h=5.0) (実装を直接呼ぶなら import spc; spc.spc_cusum(signal, target, k=0.5, h=5.0)、台帳から引くなら opsspc.get("spc_cusum"))

使い方

Tabular CUSUM chart for individual measurements.

`signal` is a 1-D series of individual measurements. With a reference value

`target, a slack k` (in the same units as the measurements — commonly half

the shift you want to catch) and a decision interval `h`::

C+_i = max(0, C+_{i-1} + (x_i - target) - k)

C-_i = max(0, C-_{i-1} - (x_i - target) - k)

starting from `C+_0 = C-_0 = 0, alarming at index i when C+_i > h` or

`C-_i > h. Returns a dict with the c_plus / c_minus` arrays, the

integer `alarms indices, the first alarm index (or -1`), and the echoed

`target / k / h`.

Ground truth (pinned in the tests): a series constant at `target` keeps

`C+ == C- == 0; after a sustained upward step of size d > k` the upper sum

grows at exactly `d - k` per sample.

Raises `ValueError`: a non-1-D / empty *signal*, a non-finite

*target* / *k* / *h*, a negative *k*, or a non-positive *h*.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。

• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• poc_spc — py -3.11 examples/poc_spc.py

型が繋がる次の op(table を入力に取れる)

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同カテゴリ(change)

spc_ewma

*Provenance: spc.py — SPC operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.