NormalLevenbergMarquardtKDEEstimator (ELKI: Environment for DeveLoping KDD-Applications Supported by Index-Structures)

java.lang.Object
- elki.math.statistics.distribution.estimator.NormalLevenbergMarquardtKDEEstimator

All Implemented Interfaces:

DistributionEstimator<NormalDistribution>
```
public class NormalLevenbergMarquardtKDEEstimator
extends java.lang.Object
implements DistributionEstimator<NormalDistribution>
```
Distribution parameter estimation using Levenberg-Marquardt iterative optimization and a kernel density estimation.
Note: this estimator is rather expensive, and needs optimization in the KDE phase, which currently is O(n²)!
This estimator is primarily attractive when only part of the distribution was observed.

Since:

0.6.0

Author:

Erich Schubert

Nested Class Summary

Nested Classes
Modifier and Type Class Description

static class NormalLevenbergMarquardtKDEEstimator.Par
Parameterization class.

Field Summary

Fields
Modifier and Type Field Description

static NormalLevenbergMarquardtKDEEstimator STATIC
Static estimator for small sample sizes and partial data.

Constructor Summary

Constructors
Modifier Constructor Description

private NormalLevenbergMarquardtKDEEstimator()
Constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`<A> NormalDistribution`	`estimate(A data, NumberArrayAdapter<?,A> adapter)`	General form of the parameter estimation
`java.lang.Class<? super NormalDistribution>`	`getDistributionClass()`	Get the class that is produced by the estimator.
`java.lang.String`	`toString()`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface elki.math.statistics.distribution.estimator.DistributionEstimator
estimate

- Field Detail
  - STATIC
```
public static final NormalLevenbergMarquardtKDEEstimator STATIC
```
    Static estimator for small sample sizes and partial data.
- Constructor Detail
  - NormalLevenbergMarquardtKDEEstimator
```
private NormalLevenbergMarquardtKDEEstimator()
```
    Constructor. Private: use static instance.
- Method Detail
  - estimate
```
public <A> NormalDistribution estimate(A data,
                                       NumberArrayAdapter<?,A> adapter)
```
    Description copied from interface: DistributionEstimator
    
    General form of the parameter estimation
    
    Specified by:
    
    estimate in interface DistributionEstimator<NormalDistribution>
    
    Parameters:
    
    data - Data set
    
    adapter - Number array adapter
    
    Returns:
    
    Estimated distribution
  - getDistributionClass
```
public java.lang.Class<? super NormalDistribution> getDistributionClass()
```
    Description copied from interface: DistributionEstimator
    
    Get the class that is produced by the estimator.
    
    Specified by:
    
    getDistributionClass in interface DistributionEstimator<NormalDistribution>
    
    Returns:
    
    Distribution class
  - toString
```
public java.lang.String toString()
```
    Overrides:
    
    toString in class java.lang.Object