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Miha Kralj
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docs/indicators/averages/alma/alma.md
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## ALMA: Arnaud Legoux Moving Average
### Concept
ALMA is a moving average designed to reduce the lag of traditional moving averages while maintaining smoothness. It uses a Gaussian distribution to weight the price data, allowing for greater flexibility in balancing smoothness and responsiveness.
### Origin
ALMA was developed by *Arnaud Legoux and Dimitrios Kouzis-Loukas*, introduced in 2009. It was created to address the limitations of traditional moving averages, particularly the lag issue in trend identification and signal generation.
### Key Features
1. **Gaussian Distribution**: Uses a Gaussian (normal) distribution to weight price data, concentrating the most weight around a specific point.
2. **Offset Parameter**: Allows shifting the Gaussian distribution to the left or right, affecting the lag and responsiveness.
3. **Sigma Parameter**: Controls the width of the Gaussian distribution, affecting the smoothness of the average.
4. **Lag Reduction**: Designed to minimize lag while maintaining a smooth output.
### Usage
1. **Trend Identification**: ALMA can identify trends more quickly than traditional moving averages due to its reduced lag.
2. **Signal Generation**: Crossovers between ALMA and price, or between different ALMA settings, can generate trading signals.
3. **Support and Resistance**: ALMA can act as dynamic support and resistance levels.
4. **Smoothing Price Action**: Useful for smoothing noisy price data while preserving important trend information.
### Advantages
- Reduces lag compared to simple and exponential moving averages.
- Highly customizable through its offset and sigma parameters.
- Can be tuned to be more responsive or more smooth based on trading preferences.
- Potentially more effective in capturing short-term price movements.
### Considerations
- **Offset Parameter**: Ranges from 0 to 1, determining the distribution's center of weight.
- 0 results in a simple moving average (more lag, very smooth).
- 1 creates a weighted average focused on the most recent prices (less lag, less smooth).
- 0.85 is often used as a default, balancing lag reduction and smoothness.
- **Sigma Parameter**: Controls the Gaussian distribution's width.
- Lower values create a narrower distribution, focusing on fewer price bars.
- Higher values create a wider distribution, incorporating more price bars.
- 6 is often used as a default value.
- **Period**: As with other moving averages, determines how many price bars are included in the calculation.
- **Balancing Responsiveness and Stability**:
- Adjusting offset and sigma allows fine-tuning between quick response to price changes and stability in noisy markets.
- Higher offset and lower sigma increase responsiveness but may lead to more false signals in volatile markets.
- Lower offset and higher sigma increase smoothness but may introduce more lag.
- **Computational Complexity**: More complex to calculate than simple moving averages, which may be a consideration in high-frequency trading systems.
- **Interpretation**: Due to its unique weighting system, ALMA may behave differently from traditional moving averages in certain market conditions, requiring careful interpretation.
docs/indicators/averages/alma/charts.dib
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@@ -43,7 +43,9 @@ Dictionary<string, double[]> Data = new Dictionary<string, double[]>
String Name = "ALMA";
int p = 10;
Func<int, AbstractBase> Indicator = period => new Alma(period);
double offset = 0.85;
double sigma = 6.0;
Func<int, AbstractBase> Indicator = period => new Alma(period, offset: offset, sigma: sigma);
foreach (var item in Data) {
string Signal = item.Key;
@@ -54,7 +56,7 @@ foreach (var item in Data) {
Plot plt = new();
var p1a = plt.Add.Signal(Input[24..]); p1a.Color = ScottPlot.Colors.Red; p1a.LineWidth = 2;
var p1b = plt.Add.Signal(Output.v.ToArray()[24..]); p1b.Color = ScottPlot.Colors.Blue; p1b.LineWidth = 4;
plt.Title($"{Signal} - {Name}({p})");
plt.Title($"{Signal} - {Name}({p}, {offset:F2}, {sigma:F2})");
plt.Display();
plt.SaveSvg($"img/{Name}{p}_{Signal}.svg", 450, 300);
}
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B - ALMA(10)
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