Back to Course Overview
Module 1 · Chapter 2

Types of Means and Averages

Part of Foundations of Mean Reversion

1
Simple Moving Average (SMA): Construction and Interpretation
The Simple Moving Average (SMA) calculates the arithmetic mean of a security's prices over a specified period. It smooths price data. It reduces noise. Traders use SMAs to identify trends and potentia
5 min
2
Exponential Moving Average (EMA): Weighting Recent Data
The Exponential Moving Average (EMA) assigns greater weight to recent data points. It reacts faster to price changes than a Simple Moving Average (SMA). This responsiveness makes it useful for identif
5 min
3
Volume-Weighted Average Price (VWAP): The Institutional Benchmark
Volume-Weighted Average Price (VWAP) shows a security's average price over time. It factors in both price and traded volume. Institutions use VWAP to measure execution quality. Big orders move market
5 min
4
Time-Weighted Average Price (TWAP): Execution Benchmarks
Time-Weighted Average Price (TWAP) orders execute a large order over a specified time. The algorithm aims to match the average price of the asset during that period. Traders use TWAP to minimize marke
5 min
5
Bollinger Band Midline vs. SMA: Subtle but Important Differences
The Bollinger Band midline and the Simple Moving Average (SMA) often look the same. Both calculate an average price over a set period. Their uses and implications for mean reversion strategies differ.
5 min
6
Adaptive Moving Averages: Kaufman, KAMA, and FRAMA
Traditional moving averages lag price. They use a fixed lookback period. Adaptive moving averages (AMAs) adjust their sensitivity. They react faster to trending markets and slower to choppy markets. T
5 min
7
Kernel-Weighted Averages and Gaussian Smoothing
Kernel-weighted averages assign distinct weights to data points. This differs from simple moving averages. Simple averages assign equal weight. It also differs from exponential moving averages. Expone
5 min
8
Median vs. Mean: When Robustness Matters More Than Precision
The arithmetic mean calculates a dataset's average. Sum all values. Divide by the count of values. It shows a central tendency. For example, five daily returns for AAPL: 1.0%, 0.5%, 1.2%, -0.8%, 1.1%.
5 min
9
Trimmed and Winsorized Means for Outlier-Heavy Markets
Mean reversion strategies use an asset's average price. A simple arithmetic mean is highly sensitive to outliers. Extreme price movements skew the average. This distortion causes incorrect entry and e
5 min
10
Choosing the Right Mean for Your Strategy
Mean reversion posits asset prices return to an average over time. This average acts as a gravitational pull. Traders profit by identifying deviations from this mean. They buy undervalued assets and s
5 min