The Bitcoin Momentum Index (BMI) is a sophisticated technical analysis tool designed to capture the nuanced price dynamics of Bitcoin by tracking its underlying momentum through a multi-layered statistical approach.
The BMI leverages a robust statistical framework to compute momentum, ensuring an adaptive and dynamic representation of Bitcoin's price action.
- Dynamic Statistical Analysis
- Utilizes an expanding window calculation technique
- Computes cumulative statistical measures that evolve with each new data point
- Dynamically adjusts based on historical price behavior
- Key Calculation Steps
- Cumulative sum of price-related values
- Cumulative sum of squared values
- Expanding mean calculation
- Variance estimation using a rolling computational method
- Standard deviation derivation
- Momentum Bands
- Upper Band: Expanding mean + (1.4 * expanding standard deviation)
- Mid Band: Average of upper and lower threshold lines
- Lower Band: Expanding mean - (1.2 * expanding standard deviation)
The Bitcoin Momentum Index helps traders and analysts interpret market conditions through its segmented momentum zones.