NumericalIntegrationMethod (FSharp.Stats)

NumericalIntegrationMethod Type

Namespace: FSharp.Stats.Integration
Assembly: FSharp.Stats.dll
Base Type: obj
All Interfaces: IEquatable<NumericalIntegrationMethod> , IStructuralEquatable , IComparable<NumericalIntegrationMethod> , IComparable , IStructuralComparable

Approximation methods for definitive integral estimation

Union cases

Union case	Description
`LeftEndpoint` Full Usage: `LeftEndpoint`	Left Riemann sum or left endpoint rule - approximation via partition intervals using the function values of the left partition boundary
`Midpoint` Full Usage: `Midpoint`	Midpoint rule - approximation via partition intervals using the function values of the mid points of the partition boundaries Note: when estimating definite integrals for observations, the best guess for midpoints is at xMid = (x2-x1)/2 , yMid = (y2-y1)/2 which will lead to the same results as the trapezoidal rule.
`RightEndpoint` Full Usage: `RightEndpoint`	Right Riemann sum or right endpoint rule - approximation via partition intervals using the function values of the right partition boundary
`Simpson` Full Usage: `Simpson`	Simpson's 1/3 rule or 'Kepplersche Fa�regel' (barrel rule) - approximation via parabolas
`Trapezoidal` Full Usage: `Trapezoidal`	Trapezoidal rule - approximation via partition intervals using trapezoids in the partition boundaries

Static members

Static member	Description
`NumericalIntegrationMethod.calculateDefiniteFunctionIntegral` Full Usage: `NumericalIntegrationMethod.calculateDefiniteFunctionIntegral` Returns: `NumericalIntegrationMethod -> (float -> float) -> seq<float> -> float -> float`	returns a function that estimates the definite integral of a function with the given method Returns: `NumericalIntegrationMethod -> (float -> float) -> seq<float> -> float -> float`
`NumericalIntegrationMethod.calculateDefiniteFunctionIntegralParallel` Full Usage: `NumericalIntegrationMethod.calculateDefiniteFunctionIntegralParallel` Returns: `NumericalIntegrationMethod -> (float -> float) -> seq<float> -> float -> float`	returns a function that estimates the definite integral of a function with the given method in parallel Returns: `NumericalIntegrationMethod -> (float -> float) -> seq<float> -> float -> float`
`NumericalIntegrationMethod.calculateDefiniteObservationIntegral` Full Usage: `NumericalIntegrationMethod.calculateDefiniteObservationIntegral` Returns: `NumericalIntegrationMethod -> (float * float)[] -> float`	returns a function that estimates the definite integral of observations with the given method Returns: `NumericalIntegrationMethod -> (float * float)[] -> float`
`NumericalIntegrationMethod.getObservationPartitionIntegrals` Full Usage: `NumericalIntegrationMethod.getObservationPartitionIntegrals` Returns: `NumericalIntegrationMethod -> (float * float)[] -> float[]`	returns a function that returns the estimated partition integrals of observations with the given method Returns: `NumericalIntegrationMethod -> (float * float)[] -> float[]`
`NumericalIntegrationMethod.getPartitionIntegrals` Full Usage: `NumericalIntegrationMethod.getPartitionIntegrals` Returns: `NumericalIntegrationMethod -> (float -> float) -> seq<float> -> float -> seq<float>`	returns a function that returns the estimated partition integrals of a function with the given method Returns: `NumericalIntegrationMethod -> (float -> float) -> seq<float> -> float -> seq<float>`