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Java Source Code / Java Documentation » Science » Apache commons math 1.1 » org.apache.commons.math.stat.descriptive.moment 
Source Cross Reference  Class Diagram Java Document (Java Doc) 


org.apache.commons.math.stat.descriptive.moment.FirstMoment
   org.apache.commons.math.stat.descriptive.moment.SecondMoment
      org.apache.commons.math.stat.descriptive.moment.ThirdMoment

All known Subclasses:   org.apache.commons.math.stat.descriptive.moment.FourthMoment,
ThirdMoment
public class ThirdMoment extends SecondMoment implements Serializable(Code)
Computes a statistic related to the Third Central Moment. Specifically, what is computed is the sum of cubed deviations from the sample mean.

The following recursive updating formula is used:

Let

  • dev = (current obs - previous mean)
  • m2 = previous value of SecondMoment
  • n = number of observations (including current obs)
Then

new value = old value - 3 * (dev/n) * m2 + (n-1) * (n -2) * (dev^3/n^2)

Returns Double.NaN if no data values have been added and returns 0 if there is just one value in the data set.

Note that this implementation is not synchronized. If multiple threads access an instance of this class concurrently, and at least one of the threads invokes the increment() or clear() method, it must be synchronized externally.
version:
   $Revision: 348519 $ $Date: 2005-11-23 12:12:18 -0700 (Wed, 23 Nov 2005) $



Field Summary
protected  doublem3
    
protected  doublenDevSq
     Square of deviation of most recently added value from previous first moment, normalized by previous sample size.

Constructor Summary
public  ThirdMoment()
    

Method Summary
public  voidclear()
    
public  doublegetResult()
    
public  voidincrement(double d)
    

Field Detail
m3
protected double m3(Code)
third moment of values that have been added



nDevSq
protected double nDevSq(Code)
Square of deviation of most recently added value from previous first moment, normalized by previous sample size. Retained to prevent repeated computation in higher order moments. nDevSq = nDev * nDev.




Constructor Detail
ThirdMoment
public ThirdMoment()(Code)
Create a FourthMoment instance




Method Detail
clear
public void clear()(Code)

See Also:   org.apache.commons.math.stat.descriptive.StorelessUnivariateStatistic.clear



getResult
public double getResult()(Code)

See Also:   org.apache.commons.math.stat.descriptive.StorelessUnivariateStatistic.getResult



increment
public void increment(double d)(Code)

See Also:   org.apache.commons.math.stat.descriptive.StorelessUnivariateStatistic.increment(double)



Fields inherited from org.apache.commons.math.stat.descriptive.moment.SecondMoment
protected double m2(Code)(Java Doc)

Methods inherited from org.apache.commons.math.stat.descriptive.moment.SecondMoment
public void clear()(Code)(Java Doc)
public double getResult()(Code)(Java Doc)
public void increment(double d)(Code)(Java Doc)

Fields inherited from org.apache.commons.math.stat.descriptive.moment.FirstMoment
protected double dev(Code)(Java Doc)
protected double m1(Code)(Java Doc)
protected long n(Code)(Java Doc)
protected double nDev(Code)(Java Doc)

Methods inherited from org.apache.commons.math.stat.descriptive.moment.FirstMoment
public void clear()(Code)(Java Doc)
public long getN()(Code)(Java Doc)
public double getResult()(Code)(Java Doc)
public void increment(double d)(Code)(Java Doc)

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