The Moving Average smooths price data to create a powerful measure of trend direction. Simple, weighted and exponential moving averages are most popular.
Weighted moving averages eliminate the distortion common to simple moving averages, but are more difficult to construct than exponential moving averages.
Wilder moving averages are used mainly in indicators developed by J. Welles Wilder. Essentially the same as an exponential moving average, they use different weightings, for which users need to make allowance.
Displaced Moving Averages are useful for trend-following purposes, reducing the number of whipsaws compared to an equivalent Exponential or Simple Moving Average.