org.apache.commons.math3.stat.descriptive

## Class DescriptiveStatistics

- java.lang.Object
- - org.apache.commons.math3.stat.descriptive.DescriptiveStatistics

- All Implemented Interfaces:
    Serializable, StatisticalSummary
  Direct Known Subclasses:
    SynchronizedDescriptiveStatistics

      public class DescriptiveStatistics
      extends Object
      implements StatisticalSummary, Serializable

  Maintains a dataset of values of a single variable and computes descriptive statistics based on stored data. The `windowSize` property sets a limit on the number of values that can be stored in the dataset. The default value, INFINITE_WINDOW, puts no limit on the size of the dataset. This value should be used with caution, as the backing store will grow without bound in this case. For very large datasets, `SummaryStatistics`, which does not store the dataset, should be used instead of this class. If `windowSize` is not INFINITE_WINDOW and more values are added than can be stored in the dataset, new values are added in a "rolling" manner, with new values replacing the "oldest" values in the dataset.

  Note: this class is not threadsafe. Use `SynchronizedDescriptiveStatistics` if concurrent access from multiple threads is required.

  Version:
    $Id: DescriptiveStatistics.java 1422354 2012-12-15 20:59:01Z psteitz $
  See Also:
    Serialized Form

- - ### Field Summary

    Fields
    Modifier and Type | Field and Description
    --- | ---
    `static int` | `INFINITE_WINDOW` Represents an infinite window size.
    `protected int` | `windowSize` hold the window size

  - ### Constructor Summary

    Constructors
    Constructor and Description
    `DescriptiveStatistics()` Construct a DescriptiveStatistics instance with an infinite window
    `DescriptiveStatistics(DescriptiveStatistics original)` Copy constructor.
    `DescriptiveStatistics(double[] initialDoubleArray)` Construct a DescriptiveStatistics instance with an infinite window and the initial data values in double[] initialDoubleArray.
    `DescriptiveStatistics(int window)` Construct a DescriptiveStatistics instance with the specified window

  - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `void` | `addValue(double v)` Adds the value to the dataset.
    `double` | `apply(UnivariateStatistic stat)` Apply the given statistic to the data associated with this set of statistics.
    `void` | `clear()` Resets all statistics and storage
    `DescriptiveStatistics` | `copy()` Returns a copy of this DescriptiveStatistics instance with the same internal state.
    `static void` | `copy(DescriptiveStatistics source, DescriptiveStatistics dest)` Copies source to dest.
    `double` | `getElement(int index)` Returns the element at the specified index
    `double` | `getGeometricMean()` Returns the geometric mean of the available values
    `UnivariateStatistic` | `getGeometricMeanImpl()` Returns the currently configured geometric mean implementation.
    `double` | `getKurtosis()` Returns the Kurtosis of the available values.
    `UnivariateStatistic` | `getKurtosisImpl()` Returns the currently configured kurtosis implementation.
    `double` | `getMax()` Returns the maximum of the available values
    `UnivariateStatistic` | `getMaxImpl()` Returns the currently configured maximum implementation.
    `double` | `getMean()` Returns the arithmetic mean of the available values
    `UnivariateStatistic` | `getMeanImpl()` Returns the currently configured mean implementation.
    `double` | `getMin()` Returns the minimum of the available values
    `UnivariateStatistic` | `getMinImpl()` Returns the currently configured minimum implementation.
    `long` | `getN()` Returns the number of available values
    `double` | `getPercentile(double p)` Returns an estimate for the pth percentile of the stored values.
    `UnivariateStatistic` | `getPercentileImpl()` Returns the currently configured percentile implementation.
    `double` | `getPopulationVariance()` Returns the population variance of the available values.
    `double` | `getSkewness()` Returns the skewness of the available values.
    `UnivariateStatistic` | `getSkewnessImpl()` Returns the currently configured skewness implementation.
    `double[]` | `getSortedValues()` Returns the current set of values in an array of double primitives, sorted in ascending order.
    `double` | `getStandardDeviation()` Returns the standard deviation of the available values.
    `double` | `getSum()` Returns the sum of the values that have been added to Univariate.
    `UnivariateStatistic` | `getSumImpl()` Returns the currently configured sum implementation.
    `double` | `getSumsq()` Returns the sum of the squares of the available values.
    `UnivariateStatistic` | `getSumsqImpl()` Returns the currently configured sum of squares implementation.
    `double[]` | `getValues()` Returns the current set of values in an array of double primitives.
    `double` | `getVariance()` Returns the (sample) variance of the available values.
    `UnivariateStatistic` | `getVarianceImpl()` Returns the currently configured variance implementation.
    `int` | `getWindowSize()` Returns the maximum number of values that can be stored in the dataset, or INFINITE_WINDOW (-1) if there is no limit.
    `void` | `removeMostRecentValue()` Removes the most recent value from the dataset.
    `double` | `replaceMostRecentValue(double v)` Replaces the most recently stored value with the given value.
    `void` | `setGeometricMeanImpl(UnivariateStatistic geometricMeanImpl)` Sets the implementation for the gemoetric mean.
    `void` | `setKurtosisImpl(UnivariateStatistic kurtosisImpl)` Sets the implementation for the kurtosis.
    `void` | `setMaxImpl(UnivariateStatistic maxImpl)` Sets the implementation for the maximum.
    `void` | `setMeanImpl(UnivariateStatistic meanImpl)` Sets the implementation for the mean.
    `void` | `setMinImpl(UnivariateStatistic minImpl)` Sets the implementation for the minimum.
    `void` | `setPercentileImpl(UnivariateStatistic percentileImpl)` Sets the implementation to be used by `getPercentile(double)`.
    `void` | `setSkewnessImpl(UnivariateStatistic skewnessImpl)` Sets the implementation for the skewness.
    `void` | `setSumImpl(UnivariateStatistic sumImpl)` Sets the implementation for the sum.
    `void` | `setSumsqImpl(UnivariateStatistic sumsqImpl)` Sets the implementation for the sum of squares.
    `void` | `setVarianceImpl(UnivariateStatistic varianceImpl)` Sets the implementation for the variance.
    `void` | `setWindowSize(int windowSize)` WindowSize controls the number of values that contribute to the reported statistics.
    `String` | `toString()` Generates a text report displaying univariate statistics from values that have been added.

    - ### Methods inherited from class java.lang.Object

      `clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait`

- - ### Field Detail

    - #### INFINITE_WINDOW

          public static final int INFINITE_WINDOW

      Represents an infinite window size. When the `getWindowSize()` returns this value, there is no limit to the number of data values that can be stored in the dataset.
      See Also:
        Constant Field Values

    - #### windowSize

          protected int windowSize

      hold the window size

  - ### Constructor Detail

    - #### DescriptiveStatistics

          public DescriptiveStatistics()

      Construct a DescriptiveStatistics instance with an infinite window

    - #### DescriptiveStatistics

          public DescriptiveStatistics(int window)
                                throws MathIllegalArgumentException

      Construct a DescriptiveStatistics instance with the specified window
      Parameters:
        `window` - the window size.
      Throws:
        `MathIllegalArgumentException` - if window size is less than 1 but not equal to `INFINITE_WINDOW`

    - #### DescriptiveStatistics

          public DescriptiveStatistics(double[] initialDoubleArray)

      Construct a DescriptiveStatistics instance with an infinite window and the initial data values in double[] initialDoubleArray. If initialDoubleArray is null, then this constructor corresponds to DescriptiveStatistics()
      Parameters:
        `initialDoubleArray` - the initial double[].

    - #### DescriptiveStatistics

          public DescriptiveStatistics(DescriptiveStatistics original)
                                throws NullArgumentException

      Copy constructor. Construct a new DescriptiveStatistics instance that is a copy of original.
      Parameters:
        `original` - DescriptiveStatistics instance to copy
      Throws:
        `NullArgumentException` - if original is null

  - ### Method Detail

    - #### addValue

          public void addValue(double v)

      Adds the value to the dataset. If the dataset is at the maximum size (i.e., the number of stored elements equals the currently configured windowSize), the first (oldest) element in the dataset is discarded to make room for the new value.
      Parameters:
        `v` - the value to be added

    - #### removeMostRecentValue

          public void removeMostRecentValue()
                                     throws MathIllegalStateException

      Removes the most recent value from the dataset.
      Throws:
        `MathIllegalStateException` - if there are no elements stored

    - #### replaceMostRecentValue

          public double replaceMostRecentValue(double v)
                                        throws MathIllegalStateException

      Replaces the most recently stored value with the given value. There must be at least one element stored to call this method.
      Parameters:
        `v` - the value to replace the most recent stored value
      Returns:
        replaced value
      Throws:
        `MathIllegalStateException` - if there are no elements stored

    - #### getMean

          public double getMean()

      Returns the arithmetic mean of the available values
      Specified by:
        `getMean` in interface `StatisticalSummary`
      Returns:
        The mean or Double.NaN if no values have been added.

    - #### getGeometricMean

          public double getGeometricMean()

      Returns the geometric mean of the available values
      Returns:
        The geometricMean, Double.NaN if no values have been added, or if the product of the available values is less than or equal to 0.

    - #### getVariance

          public double getVariance()

      Returns the (sample) variance of the available values.

      This method returns the bias-corrected sample variance (using `n - 1` in the denominator). Use `getPopulationVariance()` for the non-bias-corrected population variance.

      Specified by:
        `getVariance` in interface `StatisticalSummary`
      Returns:
        The variance, Double.NaN if no values have been added or 0.0 for a single value set.

    - #### getPopulationVariance

          public double getPopulationVariance()

      Returns the population variance of the available values.
      Returns:
        The population variance, Double.NaN if no values have been added, or 0.0 for a single value set.

    - #### getStandardDeviation

          public double getStandardDeviation()

      Returns the standard deviation of the available values.
      Specified by:
        `getStandardDeviation` in interface `StatisticalSummary`
      Returns:
        The standard deviation, Double.NaN if no values have been added or 0.0 for a single value set.

    - #### getSkewness

          public double getSkewness()

      Returns the skewness of the available values. Skewness is a measure of the asymmetry of a given distribution.
      Returns:
        The skewness, Double.NaN if no values have been added or 0.0 for a value set <=2.

    - #### getKurtosis

          public double getKurtosis()

      Returns the Kurtosis of the available values. Kurtosis is a measure of the "peakedness" of a distribution
      Returns:
        The kurtosis, Double.NaN if no values have been added, or 0.0 for a value set <=3.

    - #### getMax

          public double getMax()

      Returns the maximum of the available values
      Specified by:
        `getMax` in interface `StatisticalSummary`
      Returns:
        The max or Double.NaN if no values have been added.

    - #### getMin

          public double getMin()

      Returns the minimum of the available values
      Specified by:
        `getMin` in interface `StatisticalSummary`
      Returns:
        The min or Double.NaN if no values have been added.

    - #### getN

          public long getN()

      Returns the number of available values
      Specified by:
        `getN` in interface `StatisticalSummary`
      Returns:
        The number of available values

    - #### getSum

          public double getSum()

      Returns the sum of the values that have been added to Univariate.
      Specified by:
        `getSum` in interface `StatisticalSummary`
      Returns:
        The sum or Double.NaN if no values have been added

    - #### getSumsq

          public double getSumsq()

      Returns the sum of the squares of the available values.
      Returns:
        The sum of the squares or Double.NaN if no values have been added.

    - #### clear

          public void clear()

      Resets all statistics and storage

    - #### getWindowSize

          public int getWindowSize()

      Returns the maximum number of values that can be stored in the dataset, or INFINITE_WINDOW (-1) if there is no limit.
      Returns:
        The current window size or -1 if its Infinite.

    - #### setWindowSize

          public void setWindowSize(int windowSize)
                             throws MathIllegalArgumentException

      WindowSize controls the number of values that contribute to the reported statistics. For example, if windowSize is set to 3 and the values {1,2,3,4,5} have been added in that order then the available values are {3,4,5} and all reported statistics will be based on these values. If `windowSize` is decreased as a result of this call and there are more than the new value of elements in the current dataset, values from the front of the array are discarded to reduce the dataset to `windowSize` elements.
      Parameters:
        `windowSize` - sets the size of the window.
      Throws:
        `MathIllegalArgumentException` - if window size is less than 1 but not equal to `INFINITE_WINDOW`

    - #### getValues

          public double[] getValues()

      Returns the current set of values in an array of double primitives. The order of addition is preserved. The returned array is a fresh copy of the underlying data -- i.e., it is not a reference to the stored data.
      Returns:
        returns the current set of numbers in the order in which they were added to this set

    - #### getSortedValues

          public double[] getSortedValues()

      Returns the current set of values in an array of double primitives, sorted in ascending order. The returned array is a fresh copy of the underlying data -- i.e., it is not a reference to the stored data.
      Returns:
        returns the current set of numbers sorted in ascending order

    - #### getElement

          public double getElement(int index)

      Returns the element at the specified index
      Parameters:
        `index` - The Index of the element
      Returns:
        return the element at the specified index

    - #### getPercentile

          public double getPercentile(double p)
                               throws MathIllegalStateException,
                                      MathIllegalArgumentException

      Returns an estimate for the pth percentile of the stored values.

      The implementation provided here follows the first estimation procedure presented here.

      Preconditions:

      - `0 < p ≤ 100` (otherwise an `MathIllegalArgumentException` is thrown)
      - at least one value must be stored (returns `Double.NaN` otherwise)
      Parameters:
        `p` - the requested percentile (scaled from 0 - 100)
      Returns:
        An estimate for the pth percentile of the stored data
      Throws:
        `MathIllegalStateException` - if percentile implementation has been overridden and the supplied implementation does not support setQuantile
        `MathIllegalArgumentException` - if p is not a valid quantile

    - #### toString

          public String toString()

      Generates a text report displaying univariate statistics from values that have been added. Each statistic is displayed on a separate line.
      Overrides:
        `toString` in class `Object`
      Returns:
        String with line feeds displaying statistics

    - #### apply

          public double apply(UnivariateStatistic stat)

      Apply the given statistic to the data associated with this set of statistics.
      Parameters:
        `stat` - the statistic to apply
      Returns:
        the computed value of the statistic.

    - #### getMeanImpl

          public UnivariateStatistic getMeanImpl()

      Returns the currently configured mean implementation.
      Returns:
        the UnivariateStatistic implementing the mean
      Since:
        1.2

    - #### setMeanImpl

          public void setMeanImpl(UnivariateStatistic meanImpl)

      Sets the implementation for the mean.

      Parameters:
        `meanImpl` - the UnivariateStatistic instance to use for computing the mean
      Since:
        1.2

    - #### getGeometricMeanImpl

          public UnivariateStatistic getGeometricMeanImpl()

      Returns the currently configured geometric mean implementation.
      Returns:
        the UnivariateStatistic implementing the geometric mean
      Since:
        1.2

    - #### setGeometricMeanImpl

          public void setGeometricMeanImpl(UnivariateStatistic geometricMeanImpl)

      Sets the implementation for the gemoetric mean.

      Parameters:
        `geometricMeanImpl` - the UnivariateStatistic instance to use for computing the geometric mean
      Since:
        1.2

    - #### getKurtosisImpl

          public UnivariateStatistic getKurtosisImpl()

      Returns the currently configured kurtosis implementation.
      Returns:
        the UnivariateStatistic implementing the kurtosis
      Since:
        1.2

    - #### setKurtosisImpl

          public void setKurtosisImpl(UnivariateStatistic kurtosisImpl)

      Sets the implementation for the kurtosis.

      Parameters:
        `kurtosisImpl` - the UnivariateStatistic instance to use for computing the kurtosis
      Since:
        1.2

    - #### getMaxImpl

          public UnivariateStatistic getMaxImpl()

      Returns the currently configured maximum implementation.
      Returns:
        the UnivariateStatistic implementing the maximum
      Since:
        1.2

    - #### setMaxImpl

          public void setMaxImpl(UnivariateStatistic maxImpl)

      Sets the implementation for the maximum.

      Parameters:
        `maxImpl` - the UnivariateStatistic instance to use for computing the maximum
      Since:
        1.2

    - #### getMinImpl

          public UnivariateStatistic getMinImpl()

      Returns the currently configured minimum implementation.
      Returns:
        the UnivariateStatistic implementing the minimum
      Since:
        1.2

    - #### setMinImpl

          public void setMinImpl(UnivariateStatistic minImpl)

      Sets the implementation for the minimum.

      Parameters:
        `minImpl` - the UnivariateStatistic instance to use for computing the minimum
      Since:
        1.2

    - #### getPercentileImpl

          public UnivariateStatistic getPercentileImpl()

      Returns the currently configured percentile implementation.
      Returns:
        the UnivariateStatistic implementing the percentile
      Since:
        1.2

    - #### setPercentileImpl

          public void setPercentileImpl(UnivariateStatistic percentileImpl)
                                 throws MathIllegalArgumentException

      Sets the implementation to be used by `getPercentile(double)`. The supplied `UnivariateStatistic` must provide a `setQuantile(double)` method; otherwise `IllegalArgumentException` is thrown.
      Parameters:
        `percentileImpl` - the percentileImpl to set
      Throws:
        `MathIllegalArgumentException` - if the supplied implementation does not provide a `setQuantile` method
      Since:
        1.2

    - #### getSkewnessImpl

          public UnivariateStatistic getSkewnessImpl()

      Returns the currently configured skewness implementation.
      Returns:
        the UnivariateStatistic implementing the skewness
      Since:
        1.2

    - #### setSkewnessImpl

          public void setSkewnessImpl(UnivariateStatistic skewnessImpl)

      Sets the implementation for the skewness.

      Parameters:
        `skewnessImpl` - the UnivariateStatistic instance to use for computing the skewness
      Since:
        1.2

    - #### getVarianceImpl

          public UnivariateStatistic getVarianceImpl()

      Returns the currently configured variance implementation.
      Returns:
        the UnivariateStatistic implementing the variance
      Since:
        1.2

    - #### setVarianceImpl

          public void setVarianceImpl(UnivariateStatistic varianceImpl)

      Sets the implementation for the variance.

      Parameters:
        `varianceImpl` - the UnivariateStatistic instance to use for computing the variance
      Since:
        1.2

    - #### getSumsqImpl

          public UnivariateStatistic getSumsqImpl()

      Returns the currently configured sum of squares implementation.
      Returns:
        the UnivariateStatistic implementing the sum of squares
      Since:
        1.2

    - #### setSumsqImpl

          public void setSumsqImpl(UnivariateStatistic sumsqImpl)

      Sets the implementation for the sum of squares.

      Parameters:
        `sumsqImpl` - the UnivariateStatistic instance to use for computing the sum of squares
      Since:
        1.2

    - #### getSumImpl

          public UnivariateStatistic getSumImpl()

      Returns the currently configured sum implementation.
      Returns:
        the UnivariateStatistic implementing the sum
      Since:
        1.2

    - #### setSumImpl

          public void setSumImpl(UnivariateStatistic sumImpl)

      Sets the implementation for the sum.

      Parameters:
        `sumImpl` - the UnivariateStatistic instance to use for computing the sum
      Since:
        1.2

    - #### copy

          public DescriptiveStatistics copy()

      Returns a copy of this DescriptiveStatistics instance with the same internal state.
      Returns:
        a copy of this

    - #### copy

          public static void copy(DescriptiveStatistics source,
                  DescriptiveStatistics dest)
                           throws NullArgumentException

      Copies source to dest.

      Neither source nor dest can be null.

      Parameters:
        `source` - DescriptiveStatistics to copy
        `dest` - DescriptiveStatistics to copy to
      Throws:
        `NullArgumentException` - if either source or dest is null

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