In statistics, autoregressive fractionally integrated moving average models are time series models that generalize ARIMA (autoregressive integrated moving average) models by allowing non-integer values of the differencing parameter. These models are useful in modeling time series with long memory—that is, in which deviations from the long-run mean decay more slowly than an exponential decay. The acronyms "ARFIMA" or "FARIMA" are often used, although it is also conventional to simply extend the "ARIMA(p,d,q)" notation for models, by simply allowing the order of differencing, d, to take fractional values.
Read more about Autoregressive Fractionally Integrated Moving Average: Basics, ARFIMA(0,d,0), General Form: ARFIMA(p,d,q)
Famous quotes containing the words integrated, moving and/or average:
“Science is intimately integrated with the whole social structure and cultural tradition. They mutually support one other—only in certain types of society can science flourish, and conversely without a continuous and healthy development and application of science such a society cannot function properly.”
—Talcott Parsons (1902–1979)
“Belief forages, moving from pasture to pasture.”
—Mason Cooley (b. 1927)
“Great ladies are no more spiteful than the average rich woman; but one acquires in their society a greater susceptibility, and feels more profoundly and ... more irremediably, their unpleasant remarks.”
—Stendhal [Marie Henri Beyle] (1783–1842)