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  2. Autocorrelation - Wikipedia

    en.wikipedia.org/wiki/Autocorrelation

    In statistics, the autocorrelation of a real or complex random process is the Pearson correlation between values of the process at different times, as a function of the two times or of the time lag.

  3. Box–Jenkins method - Wikipedia

    en.wikipedia.org/wiki/Box–Jenkins_method

    The partial autocorrelation of an AR(p) process becomes zero at lag p + 1 and greater, so we examine the sample partial autocorrelation function to see if there is evidence of a departure from zero. This is usually determined by placing a 95% confidence interval on the sample partial autocorrelation plot (most software programs that generate ...

  4. Barker code - Wikipedia

    en.wikipedia.org/wiki/Barker_code

    In the 802.11 standard, an 11-chip Barker sequence is used for the 1 and 2 Mbit/s rates. The value of the autocorrelation function for the Barker sequence is 0 or −1 at all offsets except zero, where it is +11. This makes for a more uniform spectrum, and better performance in the receivers. [16]

  5. Moving-average model - Wikipedia

    en.wikipedia.org/wiki/Moving-average_model

    The autocorrelation function (ACF) of an MA(q) process is zero at lag q + 1 and greater. Therefore, we determine the appropriate maximum lag for the estimation by examining the sample autocorrelation function to see where it becomes insignificantly different from zero for all lags beyond a certain lag, which is designated as the maximum lag q.

  6. Wiener–Khinchin theorem - Wikipedia

    en.wikipedia.org/wiki/Wiener–Khinchin_theorem

    For continuous time, the Wiener–Khinchin theorem says that if is a wide-sense-stationary random process whose autocorrelation function (sometimes called autocovariance) defined in terms of statistical expected value = [() ()] <,,, where the asterisk denotes complex conjugate, then there exists a monotone function in the frequency domain < <, or equivalently a non negative Radon measure on ...

  7. Autoregressive moving-average model - Wikipedia

    en.wikipedia.org/wiki/Autoregressive_moving...

    Similarly, q can be estimated by using the autocorrelation functions. Both p and q can be determined simultaneously using extended autocorrelation functions (EACF). [9] Further information can be gleaned by considering the same functions for the residuals of a model fitted with an initial selection of p and q.

  8. Ljung–Box test - Wikipedia

    en.wikipedia.org/wiki/Ljung–Box_test

    R: the Box.test function in the stats package [6] Python: the acorr_ljungbox function in the statsmodels package [7] Julia: the Ljung–Box tests and the Box–Pierce tests in the HypothesisTests package [8] SPSS: the Box-Ljung statistic is included by default in output produced by the IBM SPSS Statistics Forecasting module.

  9. Correlogram - Wikipedia

    en.wikipedia.org/wiki/Correlogram

    For example, in time series analysis, a plot of the sample autocorrelations versus (the time lags) is an autocorrelogram. If cross-correlation is plotted, the result is called a cross-correlogram . The correlogram is a commonly used tool for checking randomness in a data set .