Standard Error Bands

Name Type Prerequisite Use Cases
Standard Error Bands (SEB) Volatility SMA Creating tighter bands that focus on the average's reliability.

Definition

Standard Error Bands are similar to Bollinger Bands but use Standard Error instead of Standard Deviation. They are plotted around a Linear Regression Curve (or sometimes a SMA).

Mathematical Equation

  • Upper Band: \(LRC + 2 \times SE\)

  • Lower Band: \(LRC - 2 \times SE\)

  • Middle: Linear Regression Curve (LRC)

(Note: Sometimes plotted around SMA, but LRC is statistically consistent).

Special cases

  • Maximum possible value: Unbounded
  • Minimum possible value: 0
  • Behavior: Follows the price, displaying the standard error of a linear regression over price.

Visualization

Standard Error Bands

Trading Significance

  1. Trend Channel: Prices tend to stay within the bands during a trend.

  2. Tightening: Tight bands indicate a strong, low-volatility trend. Expanding bands indicate increasing volatility or trend instability.