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The MACD series is the difference between a "fast" (short period) exponential moving average (EMA), and a "slow" (longer period) EMA of the price series. The average series is an EMA of the MACD series itself. The MACD indicator thus depends on three time parameters, namely the time constants of the three EMAs.
The relationship between different moving average trading rules is explained in the paper "Anatomy of Market Timing with Moving Averages". [4] Specifically, in this paper the author demonstrates that every trading rule can be presented as a weighted average of the momentum rules computed using different averaging periods.
-DI = 100 times the smoothed moving average of (-DM) divided by average true range. The smoothed moving average is calculated over the number of periods selected, and the average true range is a smoothed average of the true ranges. Then: ADX = 100 times the smoothed moving average of the absolute value of (+DI − -DI) divided by (+DI + -DI)
Some commercial packages, like AIQ, use a standard exponential moving average (EMA) as the average instead of Wilder's SMMA. The smoothed moving averages should be appropriately initialized with a simple moving average using the first n values in the price series. The ratio of these averages is the relative strength or relative strength factor:
The zero lag exponential moving average (ZLEMA) is a technical indicator within technical analysis that aims is to eliminate the inherent lag associated to all trend following indicators which average a price over time.
Williams used a 10 trading day period and considered values below −80 as oversold and above −20 as overbought. But they were not to be traded directly, instead his rule to buy an oversold was %R reaches −100%. Five trading days pass since −100% was last reached %R rises above −95% or −85%. or conversely to sell an overbought condition
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