org.drip.spaces.metric

Class RdCombinatorialHilbert

java.lang.Object

org.drip.spaces.tensor.RdAggregate

org.drip.spaces.tensor.RdCombinatorialVector

org.drip.spaces.metric.RdCombinatorialBanach

org.drip.spaces.metric.RdCombinatorialHilbert

All Implemented Interfaces:

GeneralizedMetricVectorSpace, RdNormed, GeneralizedVector, RdGeneralizedVector

public class RdCombinatorialHilbert
extends RdCombinatorialBanach

RdCombinatorialHilbert implements the Bounded/Unbounded, Combinatorial l^2 R^d Spaces. The Reference we've used is: - Carl, B., and I. Stephani (1990): Entropy, Compactness, and Approximation of Operators, Cambridge University Press, Cambridge UK.

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor and Description
RdCombinatorialHilbert(R1CombinatorialVector[] aR1CV, Rd distRd) RdCombinatorialHilbert Space Constructor

Method Summary

Modifier and Type	Method and Description
double	sampleMetricNorm(double[] adblX) Compute the Metric Norm of the Sample

Methods inherited from class org.drip.spaces.metric.RdCombinatorialBanach

borelMeasureSpaceExpectation, borelSigmaMeasure, pNorm, populationMetricNorm, populationMode, populationSupremumNorm, sampleSupremumNorm

Methods inherited from class org.drip.spaces.tensor.RdCombinatorialVector

cardinality, hyperVolume, iterator, leftDimensionEdge, leftEdge, rightDimensionEdge, rightEdge

Methods inherited from class org.drip.spaces.tensor.RdAggregate

dimension, isPredictorBounded, match, subset, validateInstance, vectorSpaces

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface org.drip.spaces.tensor.RdGeneralizedVector

dimension, leftDimensionEdge, rightDimensionEdge, validateInstance, vectorSpaces

Methods inherited from interface org.drip.spaces.tensor.GeneralizedVector

cardinality, hyperVolume, isPredictorBounded, leftEdge, match, rightEdge, subset

Constructor Detail

RdCombinatorialHilbert

public RdCombinatorialHilbert(R1CombinatorialVector[] aR1CV,
                              Rd distRd)
                       throws java.lang.Exception

RdCombinatorialHilbert Space Constructor

Parameters:

aR1CV - Array of Combinatorial R^1 Vector Spaces

distRd - The R^d Borel Sigma Measure

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

Method Detail

sampleMetricNorm

public double sampleMetricNorm(double[] adblX)
                        throws java.lang.Exception

Description copied from interface: RdNormed

Compute the Metric Norm of the Sample

Specified by:

sampleMetricNorm in interface RdNormed

Overrides:

sampleMetricNorm in class RdCombinatorialBanach

Parameters:

adblX - The Sample

Returns:

The Metric Norm of the Sample

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid