• Thumbnail for Autocorrelation
    Autocorrelation, sometimes known as serial correlation in the discrete time case, measures the correlation of a signal with a delayed copy of itself....
    40 KB (5,833 words) - 00:42, 20 June 2025
  • 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 (1,161 words) - 09:37, 28 February 2025
  • 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) - 22:32, 21 March 2025
  • 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) - 01:22, 26 May 2025
  • 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) - 22:29, 15 April 2025
  • 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
  • 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) - 08:30, 10 February 2025
  • 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 (9,958 words) - 05:19, 30 June 2025
  • 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...
    14 KB (1,803 words) - 06:35, 14 April 2025
  • 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 (1,805 words) - 17:05, 29 May 2025
  • 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
  • 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) - 13:41, 9 February 2025
  • 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) - 01:06, 30 January 2025
  • Thumbnail for Colors of noise
    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 (3,597 words) - 17:25, 25 April 2025
  • Zero AutoCorrelation waveform (CAZAC) is a periodic complex-valued signal with modulus one and out-of-phase periodic (cyclic) autocorrelations equal...
    2 KB (275 words) - 10:29, 24 June 2025
  • Thumbnail for Modifiable temporal unit problem
    However, the daily data in the example may have too much noise, temporal autocorrelation, or be inconsistent with other datasets. With only daily data, conducting...
    10 KB (1,154 words) - 02:53, 9 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...
    35 KB (4,342 words) - 19:42, 22 May 2025
  • sequences with the useful property that their out-of-phase aperiodic autocorrelation coefficients sum to zero. Binary complementary sequences were first...
    9 KB (1,223 words) - 07:46, 29 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 (3,589 words) - 15:43, 7 April 2025
  • 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
  • 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
  • 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 (1,345 words) - 05:25, 12 January 2025
  • _{k=1}^{\infty }\rho _{k}} , is often called the integrated autocorrelation. When the chain has no autocorrelation ( ρ k = 0 {\displaystyle \rho _{k}=0} for all k...
    63 KB (8,540 words) - 04:04, 30 June 2025
  • 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 (397 words) - 00:00, 2 February 2025
  • instantly popular. Hildebrand's method for detecting pitch involved autocorrelation and proved superior to attempts based on feature extraction that had...
    45 KB (4,175 words) - 02:31, 11 June 2025
  • Geary's C is a measure of spatial autocorrelation that attempts to determine if observations of the same variable are spatially autocorrelated globally...
    5 KB (609 words) - 12:22, 4 September 2024
  • P. Box) is a type of statistical test of whether any of a group of autocorrelations of a time series are different from zero. Instead of testing randomness...
    7 KB (870 words) - 01:03, 26 May 2025
  • 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) - 21:02, 28 May 2025
  • determined using the sample autocorrelation function (ACF), partial autocorrelation function (PACF), and/or extended autocorrelation function (EACF) method...
    24 KB (3,362 words) - 00:07, 20 April 2025
  • 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) - 21:32, 19 June 2025