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Unit root test information


In statistics, a unit root test tests whether a time series variable is non-stationary and possesses a unit root. The null hypothesis is generally defined as the presence of a unit root and the alternative hypothesis is either stationarity, trend stationarity or explosive root depending on the test used.

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Unit root test

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In statistics, a unit root test tests whether a time series variable is non-stationary and possesses a unit root. The null hypothesis is generally defined...

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Unit root

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In probability theory and statistics, a unit root is a feature of some stochastic processes (such as random walks) that can cause problems in statistical...

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KPSS test

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trend-stationary) against the alternative of a unit root. Contrary to most unit root tests, the presence of a unit root is not the null hypothesis but the alternative...

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Johansen test

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with the first non-rejection used as an estimator for r. Just like a unit root test, there can be a constant term, a trend term, both, or neither in the...

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Rational root theorem

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In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational...

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Order of integration

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− 1 ) . {\displaystyle X_{t}\sim I(d-1).\,} ARIMA ARMA Random walk Unit root test Hamilton, James D. (1994) Time Series Analysis. Princeton University...

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List of statistics articles

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Unimodality Unistat – software Unit (statistics) Unit of observation Unit root Unit root test Unit-weighted regression Unitized risk Univariate Univariate analysis...

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Linear trend estimation

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use in model estimation. One of the alternative approaches involves unit root tests and the cointegration technique in econometric studies. The estimated...

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Comparison of statistical packages

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MGARCH Gretl package repository ARIMAProcess Mathematica documentation UnitRootTest Mathematica documentation ARProcess Mathematica documentation GARCHProcess...

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Cointegration

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Peter C. B. Phillips and Sam Ouliaris (1990) show that residual-based unit root tests applied to the estimated cointegrating residuals do not have the usual...

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Error correction model

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non-stationary in the first place. This can be done by standard unit root DF testing and ADF test (to resolve the problem of serially correlated errors). Take...

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EViews

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opened by gretl. EViews helps researchers detect unit roots in their data series. Multiple unit root tests are available in the research software, including...

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Yongcheol Shin

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econometrics include asymmetric autoregressive distributed lag model, unit root tests in ESTAR framework, and the long-run structural VAR modelling approach...

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Unit

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positive integer Unit imaginary number, square root of negative 1 ( − 1 ) {\displaystyle ({\sqrt {-1}})} Unit impulse, an impulse of height 1 Unit interval,...

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Debugging

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can involve interactive debugging, control flow analysis, unit testing, integration testing, log file analysis, monitoring at the application or system...

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Square root of 2

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The square root of 2 (approximately 1.4142) is a positive real number that, when multiplied by itself or squared, equals the number 2. It may be written...

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Nth root

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numbers, as in fourth root, twentieth root, etc. The computation of an nth root is a root extraction. For example, 3 is a square root of 9, since 32 = 9...

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Root locus analysis

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the sum of all the angles in the denominator. So to test whether a point in the s-plane is on the root locus, only the angles to all the open loop poles...

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Seasonal adjustment

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into time series data, unit root tests (such as the Phillips–Perron test) will be biased towards non-rejection of the unit root null. Use of seasonally...

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Bernd Lucke

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doi:10.1086/648305. S2CID 7585799. ———; Lütkepohl, Helmut (2004). "On Unit Root Tests in the Presence of Transitional Growth". Economics Letters. 84 (3):...

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