SMI Ergodic¶
| Name | Type | Prerequisite | Use Cases |
|---|---|---|---|
| SMI Ergodic Indicator (SMI) | Momentum | EMA | Providing smoother, more reliable signals than standard Stochastics. |
Definition¶
The SMI Ergodic Indicator (Stochastic Momentum Index) is a double-smoothed variation of the True Strength Index (TSI). It is used to spot trend direction and reversals. It includes a signal line for crossovers.
Mathematical Equation¶
Derived from the Stochastic Momentum Index (SMI):
\[
SMI = \frac{\text{DoubleSmooth}(Close - \frac{High+Low}{2})}{\text{DoubleSmooth}(\frac{High-Low}{2})}
\]
The Ergodic version typically uses specific smoothing periods suitable for trend following.
Special cases¶
- Maximum possible value: Unbounded
- Minimum possible value: Unbounded
- Behavior: Oscillates around zero, smoothing momentum to clarify overbought and oversold readings.
Visualization¶

Trading Significance¶
-
Crossovers:
-
Buy: SMI (Main) crosses above Signal line.
-
Sell: SMI (Main) crosses below Signal line.
-
-
Zero Line: Crossing zero confirms trend direction.