Volume Weighted SkewnessThis indicator analyzes market sentiment by decomposing total
skewness (asymmetry) into two distinct, interpretable components:
"Between-Bar" (Inter-Bar) and "Within-Bar" (Intra-Bar) skewness.
Key Features:
1. **Moment-Based Skewness decomposition:** The indicator
separates skewness based on the 'Estimate Bar Statistics' option.
It leverages the additive property of the Third Central Moment
to ensure mathematical rigor:
- **Standard Mode (`Estimate Bar Statistics` = OFF):** Calculates
simple skewness of the selected `Source`.
- **Decomposition Mode (`Estimate Bar Statistics` = ON):** The
indicator uses a statistical model ('Estimator') to
calculate *within-bar* skewness.
This separates the asymmetry into:
- **Between-Bar Skewness (Gold):** Asymmetry of the price
path itself. A positive value indicates that the trend
moves more aggressively upwards than downwards.
- **Within-Bar Skewness (Blue):** Asymmetry of the
microstructure (wicks vs. tails). A positive value implies
strong buying pressure within the bars (long tails).
2. **Visual Decomposition Logic:** Total Skewness is the
primary metric displayed. Since Skewness coefficients are not
linearly additive, this indicator calculates the *exact* Total
Skewness and partitions the area/ratios based on the additive
Third Moment Decomposition (`M3Tot = M3Btw + M3Wtn`). This
ensures the displayed total skewness remains mathematically accurate.
3. **Dual Display Modes:** The indicator offers two modes to
visualize this decomposition:
- **Absolute Mode:** Displays the *Total Skewness* as the main
line, with the background filled by the stacked components.
Shows the *magnitude* and direction of the tail risk.
- **Relative Mode:** Displays the **Contribution Ratios**
of each component (-1.0 to 1.0). This isolates the
*structure/quality* of the asymmetry (e.g., "Is the skewness
driven by the trend or by the candle shapes?").
4. **Calculation Options:**
- **Normalization:** An optional 'Normalize' setting
transforms inputs into logarithmic space, analyzing the
skewness of *returns* rather than absolute prices.
(Essential for correct statistical properties).
- **Volume Weighting:** An option (`Volume weighted`) applies
volume weighting to all moment calculations, emphasizing
high-participation moves.
5. **Skewness Cycle Analysis:**
- **Pivot Detection:** Includes a built-in pivot detector
that identifies significant turning points (peaks/valleys) in
the *Total Skewness* line. (Note: This is only visible
in 'Absolute Mode').
- **Flexible Pivot Algorithms:** Supports various underlying
mathematical models for pivot detection provided by the
core library.
6. **Note on Confirmation (Lag):** Pivot signals are confirmed
using a lookback method. A pivot is only plotted *after*
the `Pivot Right Bars` input has passed, which introduces
an inherent lag.
7. **Multi-Timeframe (MTF) Capability:**
- **MTF Skewness Lines:** The skewness lines can be
calculated on a higher timeframe, with standard options
to handle gaps (`Fill Gaps`) and prevent repainting
(`Wait for...`).
- **Limitation:** The Pivot detection (`Calculate Pivots`) is
**disabled** if a Higher Timeframe (HTF) is selected.
8. **Integrated Alerts:** Includes comprehensive alerts for:
- Skewness magnitude (High Positive / High Negative).
- Character changes (Inter-Bar vs. Intra-Bar dominance).
- Total Skewness pivot (High/Low) detection.
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**DISCLAIMER**
1. **For Informational/Educational Use Only:** This indicator is
provided for informational and educational purposes only. It does
not constitute financial, investment, or trading advice, nor is
it a recommendation to buy or sell any asset.
2. **Use at Your Own Risk:** All trading decisions you make based on
the information or signals generated by this indicator are made
solely at your own risk.
3. **No Guarantee of Performance:** Past performance is not an
indicator of future results. The author makes no guarantee
regarding the accuracy of the signals or future profitability.
4. **No Liability:** The author shall not be held liable for any
financial losses or damages incurred directly or indirectly from
the use of this indicator.
5. **Signals Are Not Recommendations:** The alerts and visual signals
(e.g., crossovers) generated by this tool are not direct
recommendations to buy or sell. They are technical observations
for your own analysis and consideration.
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