ILNumerics - Technical Application Development
SystemObject
ILNumerics.Toolboxes.DistributionsChiDistribution
Assembly: ILNumerics.Toolboxes.Statistics (in ILNumerics.Toolboxes.Statistics.dll) Version: 5.5.0.0 (5.5.7503.3146)
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Continuous Univariate Chi distribution.
This distribution is a continuous probability distribution. The distribution usually arises when a k-dimensional vector's orthogonal
components are independent and each follow a standard normal distribution. The length of the vector will
then have a chi distribution.
Wikipedia - Chi distribution.
[ILNumerics Statistics Toolbox]
Inheritance Hierarchy
ILNumerics.Toolboxes.DistributionsChiDistribution
Namespace: ILNumerics.Toolboxes.Distributions
Assembly: ILNumerics.Toolboxes.Statistics (in ILNumerics.Toolboxes.Statistics.dll) Version: 5.5.0.0 (5.5.7503.3146)
Syntax
The ChiDistribution type exposes the following members.
Constructors
| Name | Description | |
|---|---|---|
 | ChiDistribution |
Initializes a new instance of the ChiDistribution class.
[ILNumerics Statistics Toolbox] |
Properties
| Name | Description | |
|---|---|---|
 | DegreesOfFreedom |
Gets or sets the degrees of freedom (k) of the Chi distribution. Range: k > 0.
[ILNumerics Statistics Toolbox] |
| Entropy |
Gets the entropy of the distribution.
[ILNumerics Statistics Toolbox] |
| Maximum |
Gets the maximum of the distribution.
[ILNumerics Statistics Toolbox] |
| Mean |
Gets the mean of the distribution.
[ILNumerics Statistics Toolbox] |
| Median |
Gets the median of the distribution.
[ILNumerics Statistics Toolbox] |
| Minimum |
Gets the minimum of the distribution.
[ILNumerics Statistics Toolbox] |
| Mode |
Gets the mode of the distribution.
[ILNumerics Statistics Toolbox] |
| Skewness |
Gets the skewness of the distribution.
[ILNumerics Statistics Toolbox] |
| StdDev |
Gets the standard deviation of the distribution.
[ILNumerics Statistics Toolbox] |
| Variance |
Gets the variance of the distribution.
[ILNumerics Statistics Toolbox] |
Methods
| Name | Description | |
|---|---|---|
| CDF |
Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
[ILNumerics Statistics Toolbox] |
| CumulativeDistribution |
Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
[ILNumerics Statistics Toolbox] |
| Density |
Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
[ILNumerics Statistics Toolbox] |
| DensityLog |
Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
[ILNumerics Statistics Toolbox] |
|
Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
[ILNumerics Statistics Toolbox] | |
| PDFLog |
Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
[ILNumerics Statistics Toolbox] |
| Samples(InArrayInt64) |
Generates a sequence of samples from the distribution.
[ILNumerics Statistics Toolbox] |
 | Samples(InArrayInt64, Int32) |
Generates a sequence of samples from the Chi distribution.
[ILNumerics Statistics Toolbox] |
| ToString |
A string representation of the distribution.
(Overrides ObjectToString.)[ILNumerics Statistics Toolbox] |
Remarks
[ILNumerics Statistics Toolbox]
See Also