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The Wilder's Smoothing is a technical analysis indicator created by J. Welles Wilder, Jr. and is part of the Wilder's RSI indicator implementation. Like any other moving average, this indicator smoothes price movements to help you identify and spot bullish and bearish trends.
The Wilder's smoothing formula is very similar to the exponential moving average. The function gets two parameters, a time-series and a lookback period and it returns a smoothed line. When the indicator is calculated based on the price series, a stock is trending up if its close price is above the Wilder's smoothing line and it is trending down if its close price is below the Wilder's smoothing line.
Note that Wilder's smoothing is sometimes called the modified moving average