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SampleKuiperTest Method
Tests whether the sample is compatible with the given distribution.

Namespace:  Meta.Numerics.Statistics
Assembly:  Meta.Numerics (in Meta.Numerics.dll) Version: 3.1.0.0 (3.1.0.0)
Syntax
public TestResult KuiperTest(
	Distribution distribution
)

Parameters

distribution
Type: Meta.Numerics.Statistics.DistributionsDistribution
The test distribution.

Return Value

Type: TestResult
The test result. The test statistic is the V statistic and the chance to obtain such a large value of V under the assumption that the sample is drawn from the given distribution.
Exceptions
ExceptionCondition
ArgumentNullExceptiondistribution is .
InsufficientDataExceptionThere is no data in the sample.
Remarks

Like the Kolmogorov-Smirnov test ((KolmogorovSmirnovTest(Distribution), Kuiper's test compares the EDF of the sample to the CDF of the given distribution.

For small sample sizes, we compute the null distribution of V exactly. For large sample sizes, we use an accurate asympototic approximation. Therefore it is safe to use this method for all sample sizes.

See Also