Stats.CentralMoment Method

Definition

Namespace: Numerics.NET.Statistics
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.9.0

Overload List

CentralMoment<T>(T[], Int32) Returns the specified central moment of the elements of an array.
CentralMoment<T>(Vector<T>, Int32) Returns the specified central moment of the elements of a vector.

CentralMoment<T>(T[], Int32)

Returns the specified central moment of the elements of an array.
C#
public static double CentralMoment<T>(
	this T[] values,
	int degree
)

Parameters

values  T[]
An array.
degree  Int32
The degree of the moment.

Type Parameters

T

Return Value

Double
The central moment of degree degree of the elements of values.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type T[]. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Exceptions

ArgumentNullException

values is null.

ArgumentOutOfRangeException

degree is less than one.

CentralMoment<T>(Vector<T>, Int32)

Returns the specified central moment of the elements of a vector.
C#
public static double CentralMoment<T>(
	this Vector<T> values,
	int degree
)

Parameters

values  Vector<T>
A vector.
degree  Int32
The degree of the moment.

Type Parameters

T

Return Value

Double
The central moment of degree degree of the elements of values.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Vector<T>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Remarks

The second central moment is the population variance, so one finite observed value returns zero.

No observed values or an undefined mean returns NaN.

Exceptions

ArgumentNullException

values is null.

ArgumentOutOfRangeException

degree is less than one.

See Also