单词 | moving average |
释义 | moving average A time series obtained from the original series by averaging the figures for a number of consecutive periods. For example, suppose that xt is the original series for years t = 1, 2,…, N. A moving average yt can be calculated by averaging xt for a number of periods centred on t, say t - 2, t - 1, t, t + 1 and t + 2. When the original series fluctuates either cyclically or randomly, yt fluctuates less, which makes it easier to follow what has happened. Moving averages do have some disadvantages, however. First, it is not possible to construct a moving average for the most recent periods: in the example above, for the two most recent periods for which xt is available. Also, suppose that nothing much has happened to xt except at time t* suppose xt * = 1 and all other xt are approximately zero. yt will be approximately zero except at times t* - 2 to t* + 2; for these yt is approximately 0.2. Thus yt rises by approximately 0.2 from t* - 3 to t* - 2, and falls by approximately 0.2 from t* + 2 to t* + 3, though nothing much actually changed at these times, while from t* - 1 to t* and from t* to t* + 1, yt hardly moves when the only major change in xt was taking place. In this case use of a moving average actually obscures what was happening. |
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