java.lang.Object
- jsl.utilities.statistic.AbstractCollector
- - jsl.utilities.statistic.AbstractStatistic
  - - jsl.utilities.statistic.Histogram

All Implemented Interfaces:

java.lang.Comparable<AbstractStatistic>, GetNameIfc, IdentityIfc, ArraySaverIfc, CollectorIfc, GetCSVStatisticIfc, StatisticAccessorIfc
```
public class Histogram
extends AbstractStatistic
```
A Histogram tabulates data into bins. The user must specify the lower limit of the first bin, the width of the bins, and the number of bins. Alternatively, the user can use the static methods makeHistogram() to specify the range of the data via a lower limit and upper limit and a desired number of bins. For a histogram that automatically specifies the bins, see CachedHistogram

Nested Class Summary

Nested Classes
Modifier and Type Class Description

class Histogram.Bin

Field Summary

Fields
Modifier and Type	Field	Description
`protected double`	`myBinWidth`	Width of a bin.
`protected double[]`	`myCountData`	Histogram counts.
`protected double`	`myFirstBinLL`	Lower limit of first histogram bin.
`protected double`	`myLastBinUL`	Upper limit of last histogram bin.
`protected int`	`myNumBins`	The number of bins for the histogram
`protected double`	`myOverFlowCount`	Counts of values located above last bin.
`protected Statistic`	`myStatistic`	Collects statistical information
`protected double`	`myUnderFlowCount`	Counts of values located below first bin.

Fields inherited from class jsl.utilities.statistic.AbstractStatistic
DEFAULT_CONFIDENCE_LEVEL, myConfidenceLevel, myNumMissing

Fields inherited from interface jsl.utilities.statistic.ArraySaverIfc
DEFAULT_DATA_ARRAY_SIZE

Constructor Summary

Constructors
Modifier	Constructor	Description
`protected`	`Histogram()`
	`Histogram(double firstBinLL, int numBins, double binWidth)`	Create a histogram
	`Histogram(double firstBinLL, int numBins, double binWidth, double[] values)`	Create a histogram with based on the provided values
	`Histogram(double firstBinLL, int numBins, double binWidth, java.lang.String name)`	Create a histogram with the given name
	`Histogram(double firstBinLL, int numBins, double binWidth, java.lang.String name, double[] values)`	Create a histogram with the given name based on the provided values
	`Histogram(int numBins, double binWidth)`	Create a histogram with the lower limit of the first bin equal to 0.0

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`protected int`	`binIndex(double x)`	computes the zero based bin index for the bin that x falls within
`void`	`collect(double x)`	Collect on the supplied value
`double`	`getAverage()`	Gets the unweighted average of the observations.
`Histogram.Bin`	`getBin(double x)`	The bin that x falls in
`Histogram.Bin`	`getBin(int binNum)`	Returns an instance of a Bin for the supplied bin number The bin does not reflect changes to the histogram after this call
`double`	`getBinCount(double x)`	Returns the current bin count for the bin associated with x
`double`	`getBinCount(int binNum)`	Returns the bin count for the indicated bin
`double`	`getBinFraction(double x)`	Returns the fraction of the data relative to those tabulated in the bins for the bin number associated with the x
`double`	`getBinFraction(int binNum)`	Returns the fraction of the data relative to those tabulated in the bins for the supplied bin number
`int`	`getBinNumber(double x)`	Bins are numbered starting at 1 through the number of bins
`Histogram.Bin[]`	`getBins()`	Returns an array of Bins based on the current state of the histogram
`double`	`getConfidenceLevel()`	Gets the confidence level.
`double`	`getCount()`	Gets the count of the number of the observations.
`double`	`getCumulativeBinCount(double x)`	Returns the cumulative count of all bins up to and including the bin containing the value x
`double`	`getCumulativeBinCount(int binNum)`	Returns the cumulative count of all the bins up to and including the indicated bin number
`double`	`getCumulativeBinFraction(double x)`	Returns the cumulative fraction of the data up to and including the bin containing the value of x
`double`	`getCumulativeBinFraction(int binNum)`	Returns the cumulatiive fraction of the data up to and including the indicated bin number
`double`	`getCumulativeCount(double x)`	Returns the cumulative count of all the data (including under flow and over flow) for all bins up to and including the bin containing x
`double`	`getCumulativeCount(int binNum)`	Returns the cumulative count of all the data (including under flow and over flow) up to and including the indicated bin
`double`	`getCumulativeFraction(double x)`	Returns the cumulative fraction of all the data up to an including the bin containing the value x, (includes over and under flow)
`double`	`getCumulativeFraction(int binNum)`	Returns the cumulative fraction of all the data up to and including the supplied bin (includes over and under flow)
`double`	`getDeviationSumOfSquares()`	Gets the sum of squares of the deviations from the average This is the numerator in the classic sample variance formula
`double`	`getFirstBinLowerLimit()`	The first bin's lower limit
`double`	`getHalfWidth(double alpha)`	Gets the confidence interval half-width.
`double`	`getKurtosis()`	Gets the kurtosis of the data
`double`	`getLag1Correlation()`	Gets the lag-1 generate correlation of the unweighted observations.
`double`	`getLag1Covariance()`	Gets the lag-1 generate covariance of the unweighted observations.
`double`	`getLastBinUpperLimit()`	The last bin's upper limit
`double`	`getLastValue()`	Gets the last observed data point
`int`	`getLeadingDigitRule(double a)`	Computes the right most meaningful digit according to (int)Math.floor(Math.log10(a*getStandardError())) See doi 10.1287.opre.1080.0529 by Song and Schmeiser
`double`	`getMax()`	Gets the maximum of the observations.
`double`	`getMin()`	Gets the minimum of the observations.
`double`	`getObsWeightedSum()`	Returns the observation weighted sum of the data i.e.
`double`	`getOverFlowCount()`	The number of observations that fell past the last bin's upper limit
`double`	`getSkewness()`	Gets the skewness of the data
`double`	`getStandardDeviation()`	Gets the sample standard deviation of the observations.
`double`	`getStandardError()`	Gets the standard error of the observations.
`double`	`getSum()`	Gets the sum of the observations.
`double`	`getTotalCount()`	Total number of observations collected including overflow and underflow
`double`	`getUnderFlowCount()`	The number of observations that fell below the first bin's lower limit
`double`	`getVariance()`	Gets the sample variance of the observations.
`double`	`getVonNeumannLag1TestStatistic()`	Gets the Von Neumann Lag 1 test statistic for checking the hypothesis that the data are uncorrelated Note: See Handbook of Simulation, Jerry Banks editor, McGraw-Hill, pg 253.
`double`	`getVonNeumannLag1TestStatisticPValue()`	Returns the asymptotic p-value for the Von Nueumann Lag-1 Test Statistic:
`static void`	`main(java.lang.String[] args)`
`static Histogram`	`makeHistogram(double lowerLimit, double upperLimit, int numBins)`	Create a histogram
`static Histogram`	`makeHistogram(double lowerLimit, double upperLimit, int numBins, java.lang.String name)`	Create a histogram with the given name
`static Histogram`	`makeHistogram(double lowerLimit, double upperLimit, int numBins, java.lang.String name, double[] values)`	Create a histogram with the given name based on the provided values
`static Histogram`	`makeHistogram(double upperLimit, int numBins)`	Create a histogram with lower limit set to zero
`void`	`reset()`	Resets the collector as if no observations had been collected.
`java.lang.String`	`toString()`	Returns a String representation of the Statistic

Methods inherited from class jsl.utilities.statistic.AbstractStatistic
compareTo, getNumberMissing, setConfidenceLevel

Methods inherited from class jsl.utilities.statistic.AbstractCollector
clearSavedData, getId, getName, getSavedData, getSaveOption, save, save, setArraySizeIncrement, setName, setSaveOption

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

Methods inherited from interface jsl.utilities.statistic.CollectorIfc
collect, collect, collect

Methods inherited from interface jsl.utilities.statistic.StatisticAccessorIfc
getConfidenceInterval, getConfidenceInterval, getCSVHeader, getCSVStatistic, getCSVStatisticHeader, getCSVValues, getHalfWidth, getName, getRelativeError, getRelativeWidth, getRelativeWidth, getStatistics, getStatisticsAsMap

- Field Detail
  - myNumBins
```
protected int myNumBins
```
    The number of bins for the histogram
  - myFirstBinLL
```
protected double myFirstBinLL
```
    Lower limit of first histogram bin.
  - myLastBinUL
```
protected double myLastBinUL
```
    Upper limit of last histogram bin.
  - myBinWidth
```
protected double myBinWidth
```
    Width of a bin.
  - myCountData
```
protected double[] myCountData
```
    Histogram counts.
  - myUnderFlowCount
```
protected double myUnderFlowCount
```
    Counts of values located below first bin.
  - myOverFlowCount
```
protected double myOverFlowCount
```
    Counts of values located above last bin.
  - myStatistic
```
protected Statistic myStatistic
```
    Collects statistical information
- Constructor Detail
  - Histogram
```
protected Histogram()
```
  - Histogram
```
public Histogram(int numBins,
                 double binWidth)
```
    Create a histogram with the lower limit of the first bin equal to 0.0
    
    Parameters:
    
    numBins - number of bins
    
    binWidth - The width of each bin
  - Histogram
```
public Histogram(double firstBinLL,
                 int numBins,
                 double binWidth)
```
    Create a histogram
    
    Parameters:
    
    firstBinLL - lower limit of first bin
    
    numBins - number of bins
    
    binWidth - The width of each bin
  - Histogram
```
public Histogram(double firstBinLL,
                 int numBins,
                 double binWidth,
                 java.lang.String name)
```
    Create a histogram with the given name
    
    Parameters:
    
    firstBinLL - lower limit of first bin
    
    numBins - number of bins
    
    binWidth - The width of each bin
    
    name - the name of the histogram
  - Histogram
```
public Histogram(double firstBinLL,
                 int numBins,
                 double binWidth,
                 double[] values)
```
    Create a histogram with based on the provided values
    
    Parameters:
    
    firstBinLL - lower limit of first bin
    
    numBins - number of bins
    
    binWidth - The width of each bin
    
    values - an array of data values to collect on when creating the histogram
  - Histogram
```
public Histogram(double firstBinLL,
                 int numBins,
                 double binWidth,
                 java.lang.String name,
                 double[] values)
```
    Create a histogram with the given name based on the provided values
    
    Parameters:
    
    firstBinLL - lower limit of first bin
    
    numBins - number of bins
    
    binWidth - The width of each bin
    
    name - the name of the histogram
    
    values - an array of data values to collect on when creating the histogram
- Method Detail
  - makeHistogram
```
public static Histogram makeHistogram(double upperLimit,
                                      int numBins)
```
    Create a histogram with lower limit set to zero
    
    Parameters:
    
    upperLimit - the upper limit of the last bin
    
    numBins - the number of bins to create
    
    Returns:
    
    the histogram
  - makeHistogram
```
public static Histogram makeHistogram(double lowerLimit,
                                      double upperLimit,
                                      int numBins)
```
    Create a histogram
    
    Parameters:
    
    lowerLimit - lower limit of first bin
    
    upperLimit - the upper limit of the last bin
    
    numBins - the number of bins to create
    
    Returns:
    
    the histogram
  - makeHistogram
```
public static Histogram makeHistogram(double lowerLimit,
                                      double upperLimit,
                                      int numBins,
                                      java.lang.String name)
```
    Create a histogram with the given name
    
    Parameters:
    
    lowerLimit - lower limit of first bin
    
    upperLimit - the upper limit of the last bin
    
    numBins - the number of bins to create
    
    name - the name of the histogram
    
    Returns:
    
    the histogram
  - makeHistogram
```
public static Histogram makeHistogram(double lowerLimit,
                                      double upperLimit,
                                      int numBins,
                                      java.lang.String name,
                                      double[] values)
```
    Create a histogram with the given name based on the provided values
    
    Parameters:
    
    lowerLimit - lower limit of first bin
    
    upperLimit - the upper limit of the last bin
    
    numBins - the number of bins to create
    
    name - the name of the histogram
    
    values - an array of data values to collect on when creating the histogram
    
    Returns:
    
    the histogram
  - collect
```
public void collect(double x)
```
    Description copied from interface: CollectorIfc
    
    Collect on the supplied value
    
    Parameters:
    
    x - a double representing the observation
  - binIndex
```
protected final int binIndex(double x)
```
    computes the zero based bin index for the bin that x falls within
    
    Parameters:
    
    x - the x to find
    
    Returns:
    
    the bin index
  - reset
```
public void reset()
```
    Description copied from interface: CollectorIfc
    
    Resets the collector as if no observations had been collected.
  - getBinNumber
```
public final int getBinNumber(double x)
```
    Bins are numbered starting at 1 through the number of bins
    
    Parameters:
    
    x - double
    
    Returns:
    
    int the number of the bin where x is located
  - getUnderFlowCount
```
public final double getUnderFlowCount()
```
    The number of observations that fell below the first bin's lower limit
    
    Returns:
    
    number of observations that fell below the first bin's lower limit
  - getOverFlowCount
```
public final double getOverFlowCount()
```
    The number of observations that fell past the last bin's upper limit
    
    Returns:
    
    number of observations that fell past the last bin's upper limit
  - getBin
```
public final Histogram.Bin getBin(double x)
```
    The bin that x falls in
    
    Parameters:
    
    x - the data to check
    
    Returns:
    
    bin that x falls in
  - getBin
```
public final Histogram.Bin getBin(int binNum)
```
    Returns an instance of a Bin for the supplied bin number The bin does not reflect changes to the histogram after this call
    
    Parameters:
    
    binNum - the bin number to get
    
    Returns:
    
    the bin
  - getBins
```
public final Histogram.Bin[] getBins()
```
    Returns an array of Bins based on the current state of the histogram
    
    Returns:
    
    the array of bins
  - getBinCount
```
public final double getBinCount(double x)
```
    Returns the current bin count for the bin associated with x
    
    Parameters:
    
    x - the data to check
    
    Returns:
    
    the bin count
  - getBinCount
```
public final double getBinCount(int binNum)
```
    Returns the bin count for the indicated bin
    
    Parameters:
    
    binNum - the bin number
    
    Returns:
    
    the bin count for the indicated bin
  - getBinFraction
```
public final double getBinFraction(int binNum)
```
    Returns the fraction of the data relative to those tabulated in the bins for the supplied bin number
    
    Parameters:
    
    binNum - the bin number
    
    Returns:
    
    the fraction of the data
  - getBinFraction
```
public final double getBinFraction(double x)
```
    Returns the fraction of the data relative to those tabulated in the bins for the bin number associated with the x
    
    Parameters:
    
    x - the data point
    
    Returns:
    
    the fraction
  - getCumulativeBinCount
```
public final double getCumulativeBinCount(double x)
```
    Returns the cumulative count of all bins up to and including the bin containing the value x
    
    Parameters:
    
    x - the data point
    
    Returns:
    
    the cumulative bin count
  - getCumulativeBinCount
```
public final double getCumulativeBinCount(int binNum)
```
    Returns the cumulative count of all the bins up to and including the indicated bin number
    
    Parameters:
    
    binNum - the bin number
    
    Returns:
    
    cumulative count
  - getCumulativeBinFraction
```
public final double getCumulativeBinFraction(int binNum)
```
    Returns the cumulatiive fraction of the data up to and including the indicated bin number
    
    Parameters:
    
    binNum - the bin number
    
    Returns:
    
    the cumulatiive fraction
  - getCumulativeBinFraction
```
public final double getCumulativeBinFraction(double x)
```
    Returns the cumulative fraction of the data up to and including the bin containing the value of x
    
    Parameters:
    
    x - the datum
    
    Returns:
    
    the cumulative fraction
  - getCumulativeCount
```
public final double getCumulativeCount(int binNum)
```
    Returns the cumulative count of all the data (including under flow and over flow) up to and including the indicated bin
    
    Parameters:
    
    binNum - the bin number
    
    Returns:
    
    the cumulative count
  - getCumulativeCount
```
public final double getCumulativeCount(double x)
```
    Returns the cumulative count of all the data (including under flow and over flow) for all bins up to and including the bin containing x
    
    Parameters:
    
    x - the datum
    
    Returns:
    
    the cumulative count
  - getCumulativeFraction
```
public final double getCumulativeFraction(int binNum)
```
    Returns the cumulative fraction of all the data up to and including the supplied bin (includes over and under flow)
    
    Parameters:
    
    binNum - the bin number
    
    Returns:
    
    the cumulative fraction
  - getCumulativeFraction
```
public final double getCumulativeFraction(double x)
```
    Returns the cumulative fraction of all the data up to an including the bin containing the value x, (includes over and under flow)
    
    Parameters:
    
    x - the datum
    
    Returns:
    
    the cumulative fraction
  - getTotalCount
```
public final double getTotalCount()
```
    Total number of observations collected including overflow and underflow
    
    Returns:
    
    Total number of observations
  - getFirstBinLowerLimit
```
public final double getFirstBinLowerLimit()
```
    The first bin's lower limit
    
    Returns:
    
    first bin's lower limit
  - getLastBinUpperLimit
```
public final double getLastBinUpperLimit()
```
    The last bin's upper limit
    
    Returns:
    
    last bin's upper limit
  - toString
```
public java.lang.String toString()
```
    Description copied from interface: StatisticAccessorIfc
    
    Returns a String representation of the Statistic
    
    Specified by:
    
    toString in interface StatisticAccessorIfc
    
    Overrides:
    
    toString in class java.lang.Object
    
    Returns:
    
    A String with basic summary statistics
  - getAverage
```
public final double getAverage()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the unweighted average of the observations.
    
    Returns:
    
    A double representing the average or Double.NaN if no observations.
  - getConfidenceLevel
```
public final double getConfidenceLevel()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the confidence level. The default is given by Statistic.DEFAULT_CONFIDENCE_LEVEL = 0.95, which is a 95% confidence level
    
    Specified by:
    
    getConfidenceLevel in interface StatisticAccessorIfc
    
    Overrides:
    
    getConfidenceLevel in class AbstractStatistic
    
    Returns:
    
    A double representing the confidence level
  - getCount
```
public final double getCount()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the count of the number of the observations.
    
    Returns:
    
    A double representing the count
  - getDeviationSumOfSquares
```
public final double getDeviationSumOfSquares()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the sum of squares of the deviations from the average This is the numerator in the classic sample variance formula
    
    Returns:
    
    A double representing the sum of squares of the deviations from the average
  - getHalfWidth
```
public double getHalfWidth(double alpha)
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the confidence interval half-width. Simply the generate standard error times the confidence coefficient as determined by an appropriate sampling distribution
    
    Parameters:
    
    alpha - the confidence level
    
    Returns:
    
    A double representing the half-width or Double.NaN if < 1 observation
  - getKurtosis
```
public final double getKurtosis()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the kurtosis of the data
    
    Returns:
    
    A double representing the kurtosis
  - getLag1Correlation
```
public final double getLag1Correlation()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the lag-1 generate correlation of the unweighted observations. Note: See Box, Jenkins, Reinsel, Time Series Analysis, 3rd edition, Prentice-Hall, pg 31
    
    Returns:
    
    A double representing the generate correlation or Double.NaN if <=2 observations
  - getLag1Covariance
```
public final double getLag1Covariance()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the lag-1 generate covariance of the unweighted observations. Note: See Box, Jenkins, Reinsel, Time Series Analysis, 3rd edition, Prentice-Hall, pg 31
    
    Returns:
    
    A double representing the generate covariance or Double.NaN if <=2 observations
  - getLastValue
```
public final double getLastValue()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the last observed data point
    
    Returns:
    
    A double representing the last observations
  - getMax
```
public final double getMax()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the maximum of the observations.
    
    Returns:
    
    A double representing the maximum
  - getMin
```
public final double getMin()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the minimum of the observations.
    
    Returns:
    
    A double representing the minimum
  - getObsWeightedSum
```
public final double getObsWeightedSum()
```
    Returns the observation weighted sum of the data i.e. sum = sum + j*x where j is the observation number and x is jth observation
    
    Returns:
    
    the observation weighted sum of the data
  - getSkewness
```
public final double getSkewness()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the skewness of the data
    
    Returns:
    
    A double representing the skewness
  - getStandardDeviation
```
public final double getStandardDeviation()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the sample standard deviation of the observations. Simply the square root of getVariance()
    
    Returns:
    
    A double representing the generate standard deviation or Double.NaN if 1 or less observations.
  - getStandardError
```
public final double getStandardError()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the standard error of the observations. Simply the generate standard deviation divided by the square root of the number of observations
    
    Returns:
    
    A double representing the standard error or Double.NaN if < 1 observation
  - getSum
```
public final double getSum()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the sum of the observations.
    
    Returns:
    
    A double representing the unweighted sum
  - getVariance
```
public final double getVariance()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the sample variance of the observations.
    
    Returns:
    
    A double representing the generate variance or Double.NaN if 1 or less observations.
  - getVonNeumannLag1TestStatistic
```
public final double getVonNeumannLag1TestStatistic()
```
    Description copied from interface: StatisticAccessorIfc
    
    Gets the Von Neumann Lag 1 test statistic for checking the hypothesis that the data are uncorrelated Note: See Handbook of Simulation, Jerry Banks editor, McGraw-Hill, pg 253.
    
    Returns:
    
    A double representing the Von Neumann test statistic
  - getVonNeumannLag1TestStatisticPValue
```
public final double getVonNeumannLag1TestStatisticPValue()
```
    Description copied from interface: StatisticAccessorIfc
    
    Returns the asymptotic p-value for the Von Nueumann Lag-1 Test Statistic:
    Normal.stdNormalComplementaryCDF(getVonNeumannLag1TestStatistic());
    
    Returns:
    
    the p-value
  - getLeadingDigitRule
```
public final int getLeadingDigitRule(double a)
```
    Description copied from interface: StatisticAccessorIfc
    
    Computes the right most meaningful digit according to (int)Math.floor(Math.log10(a*getStandardError())) See doi 10.1287.opre.1080.0529 by Song and Schmeiser
    
    Parameters:
    
    a - the std error multiplier
    
    Returns:
    
    the meaningful digit
  - main
```
public static void main(java.lang.String[] args)
```

Class Histogram

Nested Class Summary

Field Summary

Fields inherited from class jsl.utilities.statistic.AbstractStatistic

Fields inherited from interface jsl.utilities.statistic.ArraySaverIfc

Constructor Summary

Method Summary

Methods inherited from class jsl.utilities.statistic.AbstractStatistic

Methods inherited from class jsl.utilities.statistic.AbstractCollector

Methods inherited from class java.lang.Object

Methods inherited from interface jsl.utilities.statistic.CollectorIfc

Methods inherited from interface jsl.utilities.statistic.StatisticAccessorIfc

Field Detail

myNumBins

myFirstBinLL

myLastBinUL

myBinWidth

myCountData

myUnderFlowCount

myOverFlowCount

myStatistic

Constructor Detail

Histogram

Histogram

Histogram

Histogram

Histogram

Histogram

Method Detail

makeHistogram

makeHistogram

makeHistogram

makeHistogram

collect

binIndex

reset

getBinNumber

getUnderFlowCount

getOverFlowCount

getBin

getBin

getBins

getBinCount

getBinCount

getBinFraction

getBinFraction

getCumulativeBinCount

getCumulativeBinCount

getCumulativeBinFraction

getCumulativeBinFraction

getCumulativeCount

getCumulativeCount

getCumulativeFraction

getCumulativeFraction

getTotalCount

getFirstBinLowerLimit

getLastBinUpperLimit

toString

getAverage

getConfidenceLevel

getCount

getDeviationSumOfSquares

getHalfWidth

getKurtosis

getLag1Correlation

getLag1Covariance

getLastValue

getMax

getMin

getObsWeightedSum

getSkewness

getStandardDeviation

getStandardError

getSum

getVariance

getVonNeumannLag1TestStatistic

getVonNeumannLag1TestStatisticPValue

getLeadingDigitRule

main