Package org.drip.spaces.metric

Interface GeneralizedMetricVectorSpace

All Superinterfaces:

GeneralizedVector

All Known Subinterfaces:

R1Normed, RdNormed

All Known Implementing Classes:

R1Combinatorial, R1CombinatorialBall, R1Continuous, R1ContinuousBall, RdCombinatorialBall, RdCombinatorialBanach, RdCombinatorialHilbert, RdContinuousBall, RdContinuousBanach, RdContinuousHilbert

public interface GeneralizedMetricVectorSpace
extends GeneralizedVector

GeneralizedMetricVectorSpace exposes the basic Properties of the General Normed Metric Vector Space. It provides the following Functionality:

• Retrieve the P-Norm Index of the Metric Space
• Retrieve the Population Metric Norm

Module	Computational Core Module
Library	Statistical Learning Library
Project	R1 and Rd Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
Package	Hilbert/Banach Normed Metric Spaces

Author:

Lakshmi Krishnamurthy

Method Summary

Modifier and Type	Method	Description
int	pNorm()	Retrieve the P-Norm Index of the Metric Space
double	populationMetricNorm()	Retrieve the Population Metric Norm

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

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

Method Details

pNorm

int pNorm()

Retrieve the P-Norm Index of the Metric Space

Returns:

The P-Norm Index of the Metric Space

populationMetricNorm

double populationMetricNorm()
                     throws java.lang.Exception

Retrieve the Population Metric Norm

Returns:

The Population Metric Norm

Throws:

java.lang.Exception - The Population Metric Norm cannot be computed