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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
Trading financial instruments, including foreign exchange on margin, carries a high level of risk and is not suitable for all investors. The high degree of leverage can work against you as well as for you. Before deciding to invest in financial instruments or foreign exchange you should carefully consider your investment objectives, level of experience, and risk appetite. The possibility exists that you could sustain a loss of some or all of your initial investment and therefore you should not invest money that you cannot afford to lose. You should be aware of all the risks associated with trading and seek advice from an independent financial advisor if you have any doubts.