Vector autoregression (VAR) is a statistical model used to capture the relationship between multiple quantities as they change over time. VAR is a type...
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statistics and econometrics, Bayesian vector autoregression (BVAR) uses Bayesian methods to estimate a vector autoregression (VAR) model. BVAR differs with standard...
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a vector space as a codomain Vectorization (mathematics), a linear transformation that converts a matrix into a column vector Vector autoregression, an...
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Multivariate random variable (redirect from Random vector)
The evolution of a k×1 random vector X {\displaystyle \mathbf {X} } through time can be modelled as a vector autoregression (VAR) as follows: X t = c +...
21 KB (3,426 words) - 01:02, 31 July 2024
Autoregressive model (redirect from Autoregression)
model is a special case of the vector autoregressive model, the computation of the impulse response in vector autoregression#impulse response applies here...
34 KB (5,421 words) - 21:34, 14 November 2024
Multivariate normal distribution (redirect from Normal random vector)
normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination...
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expectations. A similar test involving more variables can be applied with vector autoregression. The validity of the Granger causality test has been challenged...
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mean and the covariance matrix of the random vector X {\displaystyle \textstyle \mathbf {X} } , a vector whose jth element ( j = 1 , … , K ) {\displaystyle...
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time series analysis, autoregressive–moving-average model (ARMA), vector autoregression (VAR), non-parametric statistics, ANOVA) Statistical Lab – R-based...
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Bayesian statistics Bayesian tool for methylation analysis Bayesian vector autoregression BCMP network – queueing theory Bean machine Behrens–Fisher distribution...
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is a vector norm: C = ‖ V − 1 m ‖ = ( m T V − 1 V − 1 m ) 1 / 2 {\displaystyle C=\|V^{-1}m\|=(m^{\mathsf {T}}V^{-1}V^{-1}m)^{1/2}} and the vector m, m...
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decomposition (FEVD) is used to aid in the interpretation of a vector autoregression (VAR) model once it has been fitted. The variance decomposition...
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average model (ARIMA). With multiple interrelated data series, vector autoregression (VAR) or its extensions are used. In ordinary least squares (OLS)...
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equation, with different dependent variables, estimated together. Vector autoregression involves simultaneous regressions of various time series variables...
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usually call shocks, and are often modeled in the context of a vector autoregression. Impulses that are often treated as exogenous from a macroeconomic...
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{\displaystyle \mathbf {y} \sim f(\mathbf {x} ,{\boldsymbol {\beta }})} relates a vector of independent variables, x {\displaystyle \mathbf {x} } , and its associated...
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of causality known as Granger causality can be tested for, and vector autoregression can be performed to examine the intertemporal linkages between the...
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known as a vector error correction model (VECM), as it adds error correction features to a multi-factor model known as vector autoregression (VAR). The...
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Principal component analysis (redirect from Characteristic vector analysis)
space are a sequence of p {\displaystyle p} unit vectors, where the i {\displaystyle i} -th vector is the direction of a line that best fits the data...
114 KB (14,372 words) - 15:05, 6 November 2024
entries of two random vectors X {\displaystyle \mathbf {X} } and Y {\displaystyle \mathbf {Y} } , while the correlations of a random vector X {\displaystyle...
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(Box–Jenkins) Autoregressive conditional heteroskedasticity (ARCH) Vector autoregression (VAR) Frequency domain Spectral density estimation Fourier analysis...
20 KB (2,691 words) - 13:49, 13 October 2024
(Box–Jenkins) Autoregressive conditional heteroskedasticity (ARCH) Vector autoregression (VAR) Frequency domain Spectral density estimation Fourier analysis...
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classification are: Decision trees Random forests Bayesian networks Support vector machines Neural networks Logistic regression Probit model Genetic Programming...
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data set X, thought of as a vector x = (x1,…,xn), the dispersion about a point c is the "distance" from x to the constant vector c = (c,…,c) in the p-norm...
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(Box–Jenkins) Autoregressive conditional heteroskedasticity (ARCH) Vector autoregression (VAR) Frequency domain Spectral density estimation Fourier analysis...
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any random variable assuming values from a vector space, including the real numbers (a one-dimensional vector space) and the integers (which can be considered...
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Spacek, Libor. "Rstats - Rust Implementation of Statistical Measures, Vector Algebra, Geometric Median, Data Analysis and Machine Learning". crates.io...
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as a scalar or vector β {\displaystyle \beta } . The independent variables, which are observed in data and are often denoted as a vector X i {\displaystyle...
37 KB (5,116 words) - 10:21, 21 November 2024
(Box–Jenkins) Autoregressive conditional heteroskedasticity (ARCH) Vector autoregression (VAR) Frequency domain Spectral density estimation Fourier analysis...
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Covariance matrix (section Complex random vectors)
matrix giving the covariance between each pair of elements of a given random vector. Intuitively, the covariance matrix generalizes the notion of variance to...
35 KB (5,447 words) - 21:10, 19 November 2024