Gabriel's Weibull Stdv. SuperTrend

📈 Gabriel's Weibull Stdv. SuperTrend
Description:
Gabriel’s Weibull Stdv. SuperTrend is a custom trend-following indicator that blends the statistical rigor of the Weibull Moving Average with the adaptive nature of the Standard Deviation-based SuperTrend.

This hybrid system dynamically adjusts its trend bands using a Weibull-weighted average, emphasizing more recent price action while allowing the curve to flexibly adapt based on two key Weibull parameters: Shape (k) and Scale (λ). The bands themselves are shifted by a multiple of standard deviation, offering a volatility-sensitive approach to trend detection.

🔧 Key Components:
Weibull Moving Average (WMA):
A smoothing function that assigns weights to historical prices using the Weibull distribution, controlled via Shape and Scale parameters.

SuperTrend Logic with Adaptive Bands:
Standard deviation is calculated over a user-defined length and scaled with a factor to set upper and lower thresholds around the WMA.

Trend Direction Detection:
The algorithm identifies bullish or bearish states based on crossover logic relative to the dynamic bands.

Visual Enhancements:

Bright green/red lines for SuperTrend direction.

Midpoint overlay and color-coded candles for clarity.

Filled zones between price and trend for visual emphasis.

⚙️ User Inputs:
Source: Price data to analyze (default: close).

Stdv. Length: Period for calculating standard deviation.

Factor: Multiplier to widen or narrow the SuperTrend bands.

Window Length: Lookback period for the Weibull MA.

Shape (k): Controls the skewness of the Weibull distribution.

Scale (λ): Stretches or compresses the weighting curve.

🔔 Alerts:
Long Entry Alert: Triggered when the trend flips bullish.

Short Entry Alert: Triggered when the trend flips bearish.

🧠 Use Cases:
Catch early reversals using custom-tailored smoothing.

Identify high-confidence trend shifts with dynamic volatility.

Combine with other confirmation indicators for enhanced entries.