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In statistics, a moving average (rolling average or running average or moving mean [1] or rolling mean) is a calculation to analyze data points by creating a series of averages of different selections of the full data set. Variations include: simple, cumulative, or weighted forms. Mathematically, a moving average is a type of convolution.
Momentum is the change in an N-day simple moving average (SMA) between yesterday and today, with a scale factor N+1, i.e. + = This is the slope or steepness of the SMA line, like a derivative. This relationship is not much discussed generally, but it's of interest in understanding the signals from the indicator.
Exponential smoothing or exponential moving average (EMA) is a rule of thumb technique for smoothing time series data using the exponential window function. Whereas in the simple moving average the past observations are weighted equally, exponential functions are used to assign exponentially decreasing weights over time. It is an easily learned ...
The simple moving average (SMA) is a literal average of prices over time. Taking the example of a 200-day simple moving average, you would add up the closing price of the stock over the past 200 ...
This name was applied by those who heard about it from him, but Keltner called it the ten-day moving average trading rule and indeed made no claim to any originality for the idea. [1] In Keltner's description the center line is a 10-day simple moving average of typical price, where typical price each day is the average of high, low and close, [2]
Moving average envelope is a technical analysis indicator, showing lines above and below a moving average. [1] The starting point is a simple or exponential N-period moving average which is calculated as the average of the stock price for each of the previous N periods (usually days). The moving average envelope consist of an upper envelope ...
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:
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