• Thumbnail for Autocorrelation
    Autocorrelation, sometimes known as serial correlation in the discrete time case, is the correlation of a signal with a delayed copy of itself as a function...
    39 KB (5,807 words) - 01:47, 17 September 2024
  • Thumbnail for Optical autocorrelation
    In optics, various autocorrelation functions can be experimentally realized. The field autocorrelation may be used to calculate the spectrum of a source...
    10 KB (1,151 words) - 09:04, 19 February 2024
  • Phylogenetic autocorrelation also known as Galton's problem, after Sir Francis Galton who described it, is the problem of drawing inferences from cross-cultural...
    18 KB (2,271 words) - 04:00, 26 June 2024
  • Thumbnail for Partial autocorrelation function
    In time series analysis, the partial autocorrelation function (PACF) gives the partial correlation of a stationary time series with its own lagged values...
    9 KB (1,129 words) - 10:23, 1 August 2024
  • The autocorrelation technique is a method for estimating the dominating frequency in a complex signal, as well as its variance. Specifically, it calculates...
    3 KB (412 words) - 17:11, 4 September 2024
  • In combinatorics, a branch of mathematics, the autocorrelation of a word is the set of periods of this word. More precisely, it is a sequence of values...
    7 KB (1,228 words) - 22:13, 18 August 2023
  • Thumbnail for Moran's I
    Moran's I is a measure of spatial autocorrelation developed by Patrick Alfred Pierce Moran. Spatial autocorrelation is characterized by a correlation...
    11 KB (1,510 words) - 23:16, 24 August 2024
  • differencing it if necessary), and using plots of the autocorrelation (ACF) and partial autocorrelation (PACF) functions of the dependent time series to decide...
    12 KB (1,543 words) - 16:17, 18 September 2024
  • Thumbnail for Correlogram
    statistics. For example, in time series analysis, a plot of the sample autocorrelations r h {\displaystyle r_{h}\,} versus h {\displaystyle h\,} (the time...
    10 KB (1,389 words) - 14:59, 31 March 2023
  • Thumbnail for Spatial analysis
    Spatial dependency leads to the spatial autocorrelation problem in statistics since, like temporal autocorrelation, this violates standard statistical techniques...
    62 KB (9,992 words) - 07:30, 6 July 2024
  • Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition...
    13 KB (1,811 words) - 15:30, 9 April 2024
  • analysis and market forecasting. There are two algorithms based on autocorrelation functions that can identify the dominant noise type in a data set provided...
    29 KB (3,586 words) - 19:13, 25 October 2024
  • Autoregressive model (category Autocorrelation)
    The autocorrelation function of an AR(p) process is a sum of decaying exponentials. Each real root contributes a component to the autocorrelation function...
    34 KB (5,415 words) - 19:28, 16 October 2024
  • Thumbnail for Dynamic light scattering
    temporal fluctuations are usually analyzed using the intensity or photon autocorrelation function (also known as photon correlation spectroscopy – PCS or quasi-elastic...
    33 KB (4,237 words) - 17:55, 23 September 2024
  • Thumbnail for Boolean function
    ones in the truth table. Bent: its derivatives are all balanced (the autocorrelation spectrum is zero) Correlation immune to mth order: if the output is...
    23 KB (2,887 words) - 19:44, 25 October 2024
  • Thumbnail for Pitch (music)
    of a true autocorrelation—has not been found. At least one model shows that a temporal delay is unnecessary to produce an autocorrelation model of pitch...
    30 KB (3,583 words) - 12:42, 29 October 2024
  • Thumbnail for Standard deviation
    Q-statistic (Ljung–Box) Durbin–Watson Breusch–Godfrey Time domain Autocorrelation (ACF) partial (PACF) Cross-correlation (XCF) ARMA model ARIMA model...
    55 KB (7,609 words) - 08:46, 29 September 2024
  • Thumbnail for Cross-correlation
    cross-correlation is similar in nature to the convolution of two functions. In an autocorrelation, which is the cross-correlation of a signal with itself, there will...
    26 KB (4,084 words) - 08:01, 24 April 2024
  • chemical reactions, aggregation, etc.) are analyzed using the temporal autocorrelation. Because the measured property is essentially related to the magnitude...
    63 KB (7,969 words) - 14:18, 17 October 2024
  • Decorrelation is a general term for any process that is used to reduce autocorrelation within a signal, or cross-correlation within a set of signals, while...
    3 KB (393 words) - 21:36, 29 March 2024
  • variable as X, the above expressions are called the autocovariance and autocorrelation: autocovariance σ X X ( m ) = E [ ( X n − μ X ) ( X n + m − μ X ) ]...
    4 KB (638 words) - 20:58, 15 March 2023
  • Durbin–Watson statistic (category Autocorrelation)
    Durbin–Watson statistic is a test statistic used to detect the presence of autocorrelation at lag 1 in the residuals (prediction errors) from a regression analysis...
    14 KB (1,780 words) - 16:35, 20 September 2024
  • determined using the sample autocorrelation function (ACF), partial autocorrelation function (PACF), and/or extended autocorrelation function (EACF) method...
    24 KB (3,433 words) - 05:56, 9 October 2024
  • Autocovariance (category Autocorrelation)
    at pairs of time points. Autocovariance is closely related to the autocorrelation of the process in question. With the usual notation E {\displaystyle...
    8 KB (1,342 words) - 10:26, 15 May 2024
  • Barker sequence is a finite sequence of digital values with the ideal autocorrelation property. It is used as a synchronising pattern between the sender...
    16 KB (1,831 words) - 19:14, 30 August 2024
  • number of later variants. The estimator is used to try to overcome autocorrelation (also called serial correlation), and heteroskedasticity in the error...
    10 KB (1,074 words) - 05:06, 26 September 2024
  • Thumbnail for Correlation function
    points, then this is often referred to as an autocorrelation function, which is made up of autocorrelations. Correlation functions of different random variables...
    6 KB (913 words) - 18:38, 27 April 2024
  • Thumbnail for Correlation function (astronomy)
    "correlation function" refers to the two-point autocorrelation function. The two-point autocorrelation function is a function of one variable (distance);...
    4 KB (493 words) - 18:39, 2 August 2024
  • Thumbnail for Cluster analysis
    Q-statistic (Ljung–Box) Durbin–Watson Breusch–Godfrey Time domain Autocorrelation (ACF) partial (PACF) Cross-correlation (XCF) ARMA model ARIMA model...
    69 KB (8,833 words) - 02:05, 23 October 2024
  • Thumbnail for Missing fundamental
    of a true autocorrelation) have not been found. At least one model shows a temporal delay to be unnecessary to produce an autocorrelation model of pitch...
    19 KB (2,098 words) - 18:22, 3 August 2024