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Dash · Sigma Moves

Closed-period price moves, measured against their own history. One engine. Five markets. No forecasts.

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Latest closed period

Dash's latest move against its own history.

7 October 2026 · Daily Updated 15:06 UTC
DASH Below threshold -3.30% -0.54σ Common move: this size or larger in 51% of observations 932 comparable moves / 1,826 observations

What happened afterwards

All history-qualified moves of at least 2.5σ. Results after the event are descriptive statistics, not trading instructions.

+1 d

Median return +1.36%

Completed observations: 44

Middle 50%
-2.21% … +4.10%
Positive returns
64%

+7 d

Median return +1.40%

Completed observations: 44

Middle 50%
-7.29% … +7.35%
Positive returns
52%

+30 d

Median return +2.10%

Completed observations: 44

Middle 50%
-12.91% … +18.03%
Positive returns
52%

Every rare move, in context

Instrument: binance:spot:DASHUSDT

DateσMoveObserved rarity+1 d+7 d+30 d
4 Sep 2026 +5.22σ +31.91% About once every 304 days6 comparable moves / 1,826 observations +4.68% -9.00% -4.51%
21 Aug 2026 +6.29σ +18.38% 3 times in 5 years3 comparable moves / 1,826 observations +5.94% -0.59% +48.80%
19 Aug 2026 +2.86σ +6.60% About once every 48 days38 comparable moves / 1,826 observations +2.80% +23.42% +99.87%
20 May 2026 +3.50σ +20.29% About once every 107 days17 comparable moves / 1,826 observations -3.51% -16.18% -26.25%
4 May 2026 +3.73σ +21.02% About once every 152 days12 comparable moves / 1,826 observations +3.39% -1.45% -17.50%
10 Apr 2026 +4.74σ +27.15% About once every 304 days6 comparable moves / 1,826 observations +1.07% -19.45% +4.07%
9 Apr 2026 +2.57σ +11.91% About once every 34 days54 comparable moves / 1,826 observations +27.15% +2.70% +36.27%
7 Apr 2026 +3.15σ +11.78% About once every 65 days28 comparable moves / 1,826 observations -4.32% +13.78% +55.15%
14 Jan 2026 +2.75σ +35.59% About once every 41 days45 comparable moves / 1,826 observations +0.97% -15.92% -53.72%
13 Jan 2026 +7.71σ +49.59% 2 times in 5 years2 comparable moves / 1,826 observations +35.59% +18.38% -41.78%
1 Nov 2025 +3.58σ +39.34% About once every 107 days17 comparable moves / 1,826 observations +21.64% +10.62% -34.36%
12 Oct 2025 +3.63σ +34.50% About once every 114 days16 comparable moves / 1,826 observations -4.62% -18.06% +26.08%
1 Oct 2025 +9.65σ +39.42% Not previously observed in 5 years0 comparable moves / 1,826 observations +4.51% +6.08% +69.39%
22 Sep 2025 -2.86σ -8.15% About once every 46 days40 comparable moves / 1,826 observations -0.19% +7.64% +97.44%
23 Jul 2025 -3.43σ -8.46% About once every 87 days21 comparable moves / 1,826 observations -2.11% -8.29% -0.26%
23 Jun 2025 +2.71σ +7.87% About once every 37 days49 comparable moves / 1,826 observations +1.93% +1.47% +17.88%
28 Apr 2025 +3.05σ +10.40% About once every 52 days35 comparable moves / 1,826 observations -1.91% -7.59% +1.06%
9 Apr 2025 +2.52σ +9.43% About once every 29 days62 comparable moves / 1,826 observations -4.04% -2.94% +15.31%
3 Mar 2025 -2.77σ -12.00% About once every 43 days42 comparable moves / 1,801 observations +0.50% -12.76% -10.76%
24 Feb 2025 -2.88σ -10.96% About once every 46 days39 comparable moves / 1,794 observations +5.01% -0.29% -0.46%

The number has a method behind it

Sigma measures the size of a log return relative to volatility estimated before the period. Rarity is counted from actual historical standardized moves, not inferred from a normal distribution.

σt = ln(Ct / Ct−1) / vtvt ← t−1, t−2, …

Volatility adapts to the market regime with EWMA (λ = 0.94 for daily and weekly observations). Current-period returns are excluded. Each historical σ uses its own prior volatility.

Both directions count toward rarity. Reference history spans up to five years. A period with no prior exceedances is labelled unprecedented in the observed sample; it is never given an invented recurrence interval.

Stock observations use split-adjusted price returns, without dividend reinvestment. Commodities are explicitly labelled ETF price proxies; they do not represent spot commodity prices.

Questions behind the sigma

What does a 3σ move mean?

The period log return is three times the volatility estimated from earlier periods. Sigma is signed: negative for declines and positive for rises.

Why not calculate rarity from a normal distribution?

Market returns have heavy tails and changing volatility. We count actual past absolute sigma exceedances for the same instrument and period.

Does “once every 200 days” predict the next event?

No. It is the number of historical observed periods divided by comparable moves. Events can cluster and the market regime can change.

How much history is required?

At least three years of valid standardized observations, after a one-year volatility warm-up. This normally requires approximately four years of source history.

Are all instruments directly comparable?

The engine is shared, but each instrument has its own prices, calendar, volatility and reference sample. Commodity cards use explicitly labelled ETF proxies.

What happens on quiet days?

The page shows the largest covered standardized move, the complete rarity scale and recent records. Missing data is reported separately from market calm.

For information only. Historical observations are not investment advice and do not predict future moves. A rare move can be followed by another rare move.