Covariance between values of the same process observed at different times or positions.
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Words that belong together
- autocovariance function
- sample autocovariance
- autocovariance at lag one
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The analysis estimated the autocovariance at each monthly lag.
Under weak stationarity, the autocovariance depends on the lag rather than the observation date.
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- Base
- autocovariance
Usage notes
Primary category: academic / formal / analytical. Lexical Type: Word. Forms: Countable singular autocovariance; plural autocovariances for values at different lags. Also uncountable as a general dependence property. Commonness: uncommon (editorial estimate; not a corpus frequency statistic). Legacy lexical fields mirror sense 1; numbered fields keep each relevant meaning separate. Research distinction: Berkeley time-series lecture directly read: autocovariance Cov(X at t+h, X at t), including time-dependent general form. In stationarity only lag matters; zero lag variance, and autocorrelation is autocovariance divided by zero-lag variance. Individually useful in research, criticism, methodology or conceptual analysis. Definitions and examples are original; no mood or intensity assigned to neutral analytical concepts. Commonness is an editorial estimate, not a frequency statistic. Writing functions: temporal dependence before normalization, describing time-series structure.
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