Package org.drip.spaces.metric
Interface R1Normed
- All Superinterfaces:
GeneralizedMetricVectorSpace
,GeneralizedVector
,R1GeneralizedVector
- All Known Implementing Classes:
R1Combinatorial
,R1CombinatorialBall
,R1Continuous
,R1ContinuousBall
public interface R1Normed extends GeneralizedMetricVectorSpace, R1GeneralizedVector
R1Normed Abstract Class implements the Normed, Bounded/Unbounded Continuous/Combinatorial
lp Rd Spaces. The Reference we've used is:
- Carl, B., and I. Stephani (1990): Entropy, Compactness, and the Approximation of Operators Cambridge University Press Cambridge UK
- 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 double
borelMeasureSpaceExpectation(R1ToR1 funcR1ToR1)
Compute the Borel Measure Expectation for the specified R^1 To R^1 Function over the full Input SpaceR1Univariate
borelSigmaMeasure()
Retrieve the Borel Sigma R^1 Probability Measuredouble
populationMode()
Retrieve the Population Modedouble
sampleMetricNorm(double dblX)
Compute the Metric Norm of the SampleMethods inherited from interface org.drip.spaces.metric.GeneralizedMetricVectorSpace
pNorm, populationMetricNorm
Methods inherited from interface org.drip.spaces.tensor.GeneralizedVector
cardinality, hyperVolume, isPredictorBounded, leftEdge, match, rightEdge, subset
Methods inherited from interface org.drip.spaces.tensor.R1GeneralizedVector
validateInstance
-
Method Details
-
borelSigmaMeasure
R1Univariate borelSigmaMeasure()Retrieve the Borel Sigma R^1 Probability Measure- Returns:
- The Borel Sigma R^1 Probability Measure
-
sampleMetricNorm
double sampleMetricNorm(double dblX) throws java.lang.ExceptionCompute the Metric Norm of the Sample- Parameters:
dblX
- The Sample- Returns:
- The Metric Norm of the Sample
- Throws:
java.lang.Exception
- Thrown if the Inputs are Invalid
-
populationMode
double populationMode() throws java.lang.ExceptionRetrieve the Population Mode- Returns:
- The Population Mode
- Throws:
java.lang.Exception
- Thrown if the Population Mode cannot be calculated
-
borelMeasureSpaceExpectation
Compute the Borel Measure Expectation for the specified R^1 To R^1 Function over the full Input Space- Parameters:
funcR1ToR1
- R^1 To R^1 Function Instance- Returns:
- The Borel Measure Expectation for the specified R^1 To R^1 Function over the full Input Space
- Throws:
java.lang.Exception
- Thrown if the Population Mode cannot be calculated
-