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ADFTest Class

Allows to perform the augmented Dickey-Fuller test for an unit root.

References:

1. Dickey, D. A., and W. A. Fuller. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root." Econometrica. Vol. 49, 1981, pp. 1057-1072.2.Dickey, D. A., and W. A. Fuller. "Distribution of the Estimators for Autoregressive Time Series with a Unit Root." Journal of the American Statistical Association. Vol. 74, 1979, pp. 427-431.3.Hamilton, J. D. Time Series Analysis. Princeton, NJ: Princeton University Press, 1994.

Inheritance Hierarchy
SystemObject
  FinMath.Statistics.HypothesisTestingHypothesisTest
    FinMath.Statistics.HypothesisTestingOneSampleTest
      FinMath.Statistics.HypothesisTestingADFTest

Namespace:  FinMath.Statistics.HypothesisTesting
Assembly:  FinMath (in FinMath.dll) Version: 2.4.7-0a995bd0ea1854c2c868ec3f8dae606c5777e170
Syntax
C#
[SerializableAttribute]
public class ADFTest : OneSampleTest

The ADFTest type exposes the following members.

Constructors
  NameDescription
Public methodADFTest
Initializes an instance of ADFTest class.
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Properties
  NameDescription
Public propertyAcceptanceRegionLeft
Region of acceptance left border. We fail to reject null hypothesis if test statistics is between left and right borders of region of acceptance. http://en.wikipedia.org/wiki/Statistical_hypothesis_testing#Definition_of_terms
(Overrides HypothesisTestAcceptanceRegionLeft.)
Public propertyAcceptanceRegionRight
Region of acceptance right border. We fail to reject null hypothesis if test statistics is between left and right borders of region of acceptance. http://en.wikipedia.org/wiki/Statistical_hypothesis_testing#Definition_of_terms
(Overrides HypothesisTestAcceptanceRegionRight.)
Public propertyAlpha
The intercept constant or drift.
Public propertyBeta
The coefficient on a time trend.
Public propertyCValue
The c-value of the test statistic.
Public propertyDecision
The decision for the test:
trueif the null hypothesis is accepted (unit root).
falseif the null hypothesis is rejected (stationary).
Public propertyDecisionPrinciple
Marks whether decision should be made comparing P-value with Significance level or test statistics with critical value.
(Inherited from HypothesisTest.)
Public propertyDelta
The vector of coefficients of lagged derivatives.
Public propertyGamma
The coefficient presenting the process' root, i.e. the focus of testing.
Public propertyPValue
The probability of obtaining a test statistic at least as extreme as the one that was actually observed, assuming that the null hypothesis is true. http://en.wikipedia.org/wiki/P-value
(Overrides HypothesisTestPValue.)
Public propertySignificanceLevel
Significance level. http://en.wikipedia.org/wiki/Statistical_significance
(Inherited from HypothesisTest.)
Public propertySSE
The sum of squared errors.
Public propertyStatistic
The statistic of KPSS test.
Public propertyStatistics
Test statistics. http://en.wikipedia.org/wiki/Test_statistic
(Inherited from HypothesisTest.)
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Methods
  NameDescription
Public methodEquals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Public methodGetHashCode
Serves as the default hash function.
(Inherited from Object.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
Public methodUpdate(Double)
Updates test statistic using provided sample.
(Inherited from OneSampleTest.)
Public methodUpdate(Vector)
Updates test statistic using provided sample.
(Inherited from OneSampleTest.)
Public methodUpdate(Double, Int32, Int32)
Updates test statistic using provided sample.
(Inherited from OneSampleTest.)
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See Also