change op• 資料種類:signal → table
• 呼叫: import fullseye as fs; fs.ledger.spc_ewma(signal, target, lam=0.2, L=3.0, sigma=None)(要直接呼叫實作,import spc; spc.spc_ewma(signal, target, lam=0.2, L=3.0, sigma=None);從台帳取用則 opsspc.get("spc_ewma"))
> 該運算子的說明尚無譯文,以下照原文給出。
EWMA control chart for individual measurements (Roberts 1959).
`signal` is a 1-D series of individual measurements. With a reference value
`target (the in-control mean), a smoothing constant lam in (0, 1]` and
a control-limit width `L` (in sigmas), the exponentially weighted moving
average and its time-varying limits are::
z_i = lam * x_i + (1 - lam) * z_{i-1}, z_0 = target
var_i = sigma^2 * (lam / (2 - lam)) * (1 - (1 - lam) ** (2 (i + 1)))
UCL_i / LCL_i = target +/- L * sqrt(var_i)
`sigma is the process standard deviation; if None` it is estimated from the
series as the sample std (`ddof=1`). The limits widen from the first sample to
the asymptote `target +/- L * sigma * sqrt(lam / (2 - lam))`. EWMA, like CUSUM,
catches small sustained shifts that a single-point Shewhart chart misses; `lam`
trades memory (small = long memory, sensitive to small shifts) against speed.
Returns a dict with the `z / ucl / lcl arrays, the integer alarms`
indices (`z_i outside its limits), the first alarm index (or -1`), the
asymptotic `ucl_inf / lcl_inf, and the echoed target / lam / L`
/ `sigma / in_control`.
Ground truth (pinned in the tests): a series constant at `target` keeps
`z == target with no alarm; z is exactly the recursion above; ucl`
increases monotonically toward `ucl_inf; with lam = 1` the chart reduces to
a Shewhart individuals chart (`z == x, limits constant at `target +/- L
sigma``).
Raises `ValueError`: a non-1-D / empty *signal*, a non-finite
*target* / *lam* / *L*, `lam outside (0, 1]`, a non-positive *L*, a
non-finite or non-positive *sigma*, or (when estimating) a constant series whose
sample std is zero.
• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。
• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。
• 演算法的正典(作者・年份)與用途見上面的族使用指南。
• poc_spc — py -3.11 examples/poc_spc.py
table 作為輸入)—
change)*Provenance: spc.py — SPC 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.