Autoregressive Integrated Moving Average Arima Model

English-born American-based statistician George E. P. Box (1919- ) and the English statistician Gwilym M. Jenkins (1933-1982) developed the autoregressive integrated moving average model, or ARMA (also called Box-Jenkins models), a class of statistical models used frequently in time-series analyses (i.e., a procedure in which any series of values of a variable are taken or sampled in a fixed order or at successive times), and where the acronym ARIMA refers to the three coefficient components of the model: autoregression (a time-series property in which each score is a linear function of the preceding score, and where each score is correlated with all preceding scores); integration (differencing), and moving average (a sequence of numbers consisting of the averages of successive sub-sequences of a sequence of numbers calculated in order to smooth out short-term fluctuations and to clarify underlying or hidden trends in the data). See also STIMULUS SAMPLING THEORY. REFERENCE

Time-series analysis: Forecasting and control. San Francisco: Holden-Day. [Also published in 1994 with a third author: G. C. Reinsell].

AUTOTELIC THEORY. See PLAY, THEORIES OF.

AVALANCHE LAW. See NEURON/NEURAL, AND NERVE THEORY.

AVERAGES, LAW OF. See PROBABILITY THEORY/LAWS.

AVOIDANCE HYPOTHESIS. See PUNISHMENT, THEORIES OF.

AWARENESS, LAW OF. See CONDUCT, LAWS OF.

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