Stats Class

Provides static methods for descriptive statistics and other statistical functions.

Definition

Namespace: Numerics.NET.Statistics
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.0
C# 
public static class Stats
Inheritance
Object  →  Stats

Remarks

Use the Stats class to do quick calculations on your data. If you need to calculate multiple properties of your data, it is much more efficient to use the Descriptives<T> class.

Most methods that compute statistical properties are defined as extension methods.

Methods

Autocorrelation(Double[]) Gets the lag-1 auto-correlation of the elements of an array.
Autocorrelation(Vector<Double>) Gets the lag-1 auto-correlation of the elements of a vector.
Autocorrelation(Double[], Int32) Gets the auto-correlation of the elements of an array.
Autocorrelation(Vector<Double>, Int32) Gets the auto-correlation of the elements of a vector.
AverageAbsoluteDeviation Returns the mean absolute deviation from the mean of a variable.
BlomScores(IList<Double>) Returns the Blom scores corresponding to the specified ranks.
BlomScores(IList<Int32>) Returns the Blom scores corresponding to the specified ranks.
CentralMoment<T>(T[], Int32) Returns the specified central moment of the elements of an array.
CentralMoment<T>(Vector<T>, Int32) Returns the specified central moment of the elements of a vector.
CoefficientOfVariation Gets the coefficient of variation of a variable, if it exists.
ColumnMeans<T> Returns a vector containing the means of the columns of a matrix.
ColumnStandardDeviations Returns a vector containing the standard deviations of the columns of a matrix.
ColumnVariances Returns a vector containing the variances of the columns of a matrix.
Correlation<T>(ValueTuple<Vector<T>, Vector<T>>) Gets the Pearson correlation coefficient between two sets of values.
Correlation<T>(Vector<T>, Vector<T>) Gets the Pearson correlation coefficient between two sets of values.
Correlation<T>(T[], T[], Boolean) Gets the Pearson correlation coefficient between two arrays.
Correlation<T>(ReadOnlySpan<T>, ReadOnlySpan<T>, Boolean) Gets the Pearson correlation coefficient between two arrays.
CorrelationAs<T, TResult>(Vector<T>, Vector<T>) Gets the Pearson correlation coefficient between two sets of values.
CorrelationAs<T, TResult>(ReadOnlySpan<T>, ReadOnlySpan<T>, Boolean) Gets the Pearson correlation coefficient between two arrays.
CorrelationMatrix(IList<Vector<Double>>) Returns the correlation matrix for an array of numerical variables.
CorrelationMatrix<T>(Matrix<T>) Returns the correlation matrix for the columns in a matrix.
Covariance<T>(ValueTuple<Vector<T>, Vector<T>>) Gets the covariance between two sets of values.
Covariance<T>(Vector<T>, Vector<T>) Gets the covariance between two sets of values.
Covariance<T>(ReadOnlySpan<T>, ReadOnlySpan<T>, Boolean) Gets the covariance between two sets of values.
CovarianceAs<T, TResult>(Vector<T>, Vector<T>) Gets the covariance between two sets of values.
CovarianceAs<T, TResult>(ReadOnlySpan<T>, ReadOnlySpan<T>, Boolean) Gets the covariance between two sets of values.
CovarianceMatrix(IList<Vector<Double>>) Returns the covariance matrix for an array of numerical variables.
CovarianceMatrix<T>(Matrix<T>, MultipleMissingValueAction) Returns the covariance matrix for the columns in a matrix.
GeometricMean(Double[]) Returns the geometric mean of the elements of an array.
GeometricMean(Int32[]) Returns the geometric mean of the elements of an array.
GeometricMean(Vector<Double>) Returns the geometric mean of the elements of a vector.
GeometricMean<T>(Vector<T>) Returns the geometric mean of the elements of a numerical variable.
GetKurtosisEstimate Returns an estimate for the kurtosis of the variable.
GetMeanEstimate Returns an estimate for the mean of the variable.
GetSkewnessEstimate Returns an estimate for the skewness of a variable.
GetStandardDeviationEstimate Returns an estimate for the standard deviation of the variable.
HarmonicMean(Int32[]) Returns the harmonic mean of the elements of an array.
HarmonicMean<T>(T[]) Returns the harmonic mean of the elements of an array.
HarmonicMean<T>(ReadOnlySpan<T>) Returns the harmonic mean of the elements of a span.
HarmonicMean<T>(Vector<T>) Returns the harmonic mean of the elements of a vector.
HarmonicMeanAs<T, TResult> Returns the harmonic mean of the elements of a vector.
InterQuartileRange(Double[]) Returns the inter-quartile range of the elements of an array.
InterQuartileRange(Int32[]) Returns the inter-quartile range of the elements of an array.
InterQuartileRange<T>(Vector<T>) Returns the inter-quartile range of the elements of a numerical variable.
KendallTau<T>(IList<T>, IList<T>) Returns Kendall's tau-b correlation coefficient between two sets of values.
KendallTau<T>(ReadOnlySpan<T>, ReadOnlySpan<T>) Returns Kendall's tau-b correlation coefficient between two sets of values.
Kurtosis<T>(Vector<T>) Returns the kurtosis supplement of the elements of a vector.
Kurtosis<T>(T[], Boolean) Returns the kurtosis supplement of the elements of an array.
Kurtosis<T>(IEnumerable<T>, Boolean) Returns the kurtosis supplement of the elements of an array.
Kurtosis<T>(ReadOnlySpan<T>, Boolean) Returns the kurtosis supplement of the elements of a span.
KurtosisAs<T, TResult>(Vector<T>) Returns the kurtosis supplement of the elements of an array.
KurtosisAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the kurtosis supplement of the elements of a span.
Max(Double[]) Returns the maximum value of the elements of an array.
Max<T>(IList<T>) Returns the maximum value of the elements of a list.
Max<T>(IList<T>, IComparer<T>) Returns the maximum value of the elements of an array.
Mean(DateTime[]) Returns the mean of the elements of an array of DateTime values.
Mean<T>(Vector<T>) Returns the mean of the elements of a vector.
Mean<T>(T[], Boolean) Returns the mean of the elements of a read-only span.
Mean<T>(IEnumerable<T>, Boolean) Returns the mean of the elements of a sequence.
Mean<T>(ReadOnlySpan<T>, Boolean) Returns the mean of the elements of a read-only span.
MeanAs<T, TResult>(Vector<T>) Returns the mean of the elements of a vector.
MeanAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the mean of the elements of a read-only span as a value of the specified type.
Median(Int32[]) Returns the median of the elements of an array.
Median<T>(IList<T>) Returns the median of the elements of an array.
Median<T>(Vector<T>) Returns the median of the elements of a vector.
Median<T>(T[], Boolean) Returns the median of the elements of an array.
Median<T>(ReadOnlySpan<T>, Boolean) Returns the median of the elements of a span.
MedianAbsoluteDeviation Returns the median absolute deviation of a variable.
MidMean Returns the mean of the data values between the 25th and 75th percentiles.
Min(Double[]) Returns the minimum value of the elements of an array.
Min<T>(IList<T>) Returns the minimum value of the elements of a list.
Min<T>(IList<T>, IComparer<T>) Returns the maximum value of the elements of an array.
MinMax<T>(Vector<T>) Returns the minimum and maximum value of the elements of a numerical variable.
MinMax<T>(IEnumerable<T>, Boolean) Returns the maximum value of the elements of a sequence.
MinMax<T>(IEnumerable<T>, IComparer<T>, Boolean) Returns the smallest and largest value of the elements of an array.
Moment(Int32[], Int32) Returns the specified raw moment of the elements of an array.
Moment<T>(T[], Int32) Returns the specified raw moment of the elements of an array.
Moment<T>(Vector<T>, Int32) Returns the specified raw moment of the elements of an array.
NearestCorrelationMatrix(SymmetricMatrix<Double>) Returns a positive semi-definite matrix close to a matrix.
NearestCorrelationMatrix(SymmetricMatrix<Double>, NearestCorrelationMatrixAlgorithm) Returns a positive semi-definite matrix close to a matrix.
NearestCorrelationMatrix(SymmetricMatrix<Double>, NearestCorrelationMatrixAlgorithm, Double, Int32) Returns a positive semi-definite matrix close to a matrix.
Percentile(Double[], Int32) Gets the specified percentile.
Percentile(Vector<Double>, Double) Gets the specified percentile.
Percentile<T>(Vector<T>, Int32, Int32) Gets the specified percentile.
Percentiles(Double[], Int32[]) Gets the specified percentiles.
Percentiles(Vector<Double>, Int32[]) Gets the specified percentiles.
Percentiles<T>(Vector<T>, Int32[]) Gets the specified percentiles.
PopulationKurtosis<T>(Vector<T>) Returns the kurtosis supplement of the elements of an array.
PopulationKurtosis<T>(T[], Boolean) Returns the kurtosis supplement of the elements of an array.
PopulationKurtosis<T>(IEnumerable<T>, Boolean) Returns the kurtosis supplement of a sequence.
PopulationKurtosis<T>(ReadOnlySpan<T>, Boolean) Returns the kurtosis supplement of the elements of an array.
PopulationKurtosisAs<T, TResult>(Vector<T>) Returns the kurtosis supplement of the elements of an array.
PopulationKurtosisAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the kurtosis supplement of the elements of an array.
PopulationSkewness<T>(Vector<T>) Returns the population skewness of the elements of an array.
PopulationSkewness<T>(T[], Boolean) Returns the population skewness of the elements of an array.
PopulationSkewness<T>(IEnumerable<T>, Boolean) Returns the population skewness of a sequence.
PopulationSkewness<T>(ReadOnlySpan<T>, Boolean) Returns the population skewness of the elements of a span.
PopulationSkewnessAs<T, TResult>(Vector<T>) Returns the population skewness of the elements of an array.
PopulationSkewnessAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the population skewness of the elements of a span.
PopulationStandardDeviation(DateTime[]) Returns the population standard deviation of the elements of an array.
PopulationStandardDeviation(Vector<DateTime>) Returns the population standard deviation of the elements of a numerical variable.
PopulationStandardDeviation<T>(Vector<T>) Returns the population standard deviation of the elements of a vector.
PopulationStandardDeviation<T>(T[], Boolean) Returns the population standard deviation of the elements of an array.
PopulationStandardDeviation<T>(IEnumerable<T>, Boolean) Returns the population standard deviation of the elements of an array.
PopulationStandardDeviation<T>(ReadOnlySpan<T>, Boolean) Returns the population standard deviation of the elements of a span.
PopulationStandardDeviationAs<T, TResult>(Vector<T>) Returns the population standard deviation of the elements of a vector.
PopulationStandardDeviationAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the population standard deviation of the elements of a span.
PopulationVariance<T>(Vector<T>) Returns the variance of the elements of a vector.
PopulationVariance<T>(T[], Boolean) Returns the variance of the elements of an array.
PopulationVariance<T>(IEnumerable<T>, Boolean) Returns the variance of the elements of an array.
PopulationVariance<T>(ReadOnlySpan<T>, Boolean) Returns the variance of the elements of a span.
PopulationVarianceAs<T, TResult>(Vector<T>) Returns the variance of the elements of a vector.
PopulationVarianceAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the variance of the elements of a span.
ProcessMissingValues(Double[], MissingValueAction) Applies the specified action to the missing values in the values.
ProcessMissingValues(Vector<Double>, MissingValueAction) Applies the specified action to the missing values in the values.
ProcessMissingValues(Double[], MissingValueAction, Double) Applies the specified action to the missing values in the values.
ProcessMissingValues(Vector<Double>, MissingValueAction, Double) Applies the specified action to the missing values in the values.
ProcessMissingValues(Double[], Double, MissingValueAction, Double) Applies the specified action to the missing values in the values.
ProcessMissingValues(Vector<Double>, Double, MissingValueAction, Double) Applies the specified action to the missing values in the values.
Quantile Gets the specified quantile.
Quantiles(Double[], Double[]) Gets the specified quantiles.
Quantiles(Vector<Double>, Double[]) Gets the specified quantiles.
Quantiles<T>(Vector<T>, Double[]) Gets the specified quantiles.
Range<T>(T[]) Returns the range of the elements of an array.
Range<T>(Vector<T>) Returns the range of the elements of a numerical variable.
RankCorrelation(Vector<Double>, Vector<Double>) Gets the Spearman rank correlation coefficient between two sets of values.
RankCorrelation<T>(T[], T[]) Gets the Spearman rank correlation coefficient between two sets of values.
Ranks(DateTime[]) Returns the ranks of the observations.
Ranks(Vector<Double>) Returns the ranks of the observations.
Ranks(DateTime[], RankTiebreaker, TimeSpan) Returns the ranks of the observations.
Ranks<T>(T[]) Returns the ranks of the observations.
Ranks<T>(T[], RankTiebreaker, T) Returns the ranks of the observations.
Ranks<T>(ReadOnlySpan<T>, RankTiebreaker, T) Returns the ranks of the observations.
Ranks<T>(Vector<T>, RankTiebreaker, T) Returns the ranks of the observations.
RootMeanSquare(DateTime[]) Returns the root-mean-square of the elements of an array.
RootMeanSquare(Double[]) Returns the root-mean-square of the elements of an array.
RootMeanSquare(Int32[]) Returns the root-mean-square of the elements of an array.
RootMeanSquare(Vector<Double>) Returns the root-mean-square of the elements of a vector.
RowMeans<T> Returns a vector containing the means of the rows of a matrix.
RowStandardDeviations Returns a vector containing the standard deviations of the rows of a matrix.
RowVariances Returns a vector containing the variances of the rows of a matrix.
Skewness<T>(Vector<T>) Returns the skewness of the elements of an array.
Skewness<T>(T[], Boolean) Returns the skewness of the elements of an array.
Skewness<T>(IEnumerable<T>, Boolean) Returns the skewness of a sequence.
Skewness<T>(ReadOnlySpan<T>, Boolean) Returns the skewness of the elements of a span.
SkewnessAs<T, TResult>(Vector<T>) Returns the skewness of the elements of an array.
SkewnessAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the skewness of the elements of a span.
StandardDeviation(DateTime[]) Returns the standard deviation of the elements of an array.
StandardDeviation(Vector<DateTime>) Returns the standard deviation of the elements of a numerical variable.
StandardDeviation<T>(Vector<T>) Returns the standard deviation of the elements of a vector.
StandardDeviation<T>(T[], Boolean) Returns the standard deviation of the elements of an array.
StandardDeviation<T>(IEnumerable<T>, Boolean) Returns the standard deviation of the elements of a sequence.
StandardDeviationAs<T, TResult>(Vector<T>) Returns the standard deviation of the elements of a vector.
StandardDeviationAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the standard deviation of the elements of a vector.
Sum<T>(T[], Boolean) Returns the sum of the elements of an array.
Sum<T>(IEnumerable<T>, Boolean) Returns the sum of the elements of a sequence.
Sum<T>(ReadOnlySpan<T>, Boolean) Returns the sum of the elements of a span.
SumAs<T, TResult>(Vector<T>) Returns the sum of the elements of a vector.
SumAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the sum of the elements of a span.
SumOfSquares(Double[]) Returns the sum of the squares of the elements of an array.
SumOfSquares(IEnumerable<Double>) Returns the sum of the squares of the elements of an array.
SumOfSquares(Int32[]) Returns the sum of the squares of the elements of an array.
SumOfSquares<T>(Vector<T>) Returns the sum of the squares of the observations in a Vector<T>.
TrimmedMean(Double[], Double) Returns the trimmed mean of the elements of an array.
TrimmedMean(Vector<Double>, Double) Returns the trimmed mean of the elements of a vector.
TrimmedMean<T>(T[], Double) Returns the trimmed mean of the elements of a numerical variable.
TrimmedMean<T>(Vector<T>, Double) Returns the trimmed mean of the elements of a numerical variable.
TukeyScores(IList<Double>) Returns the Tukey scores corresponding to the specified ranks.
TukeyScores(IList<Int32>) Returns the Tukey scores corresponding to the specified ranks.
VanDerWaerdenScores(IList<Double>) Returns the van der Waerden scores corresponding to the specified ranks.
VanDerWaerdenScores(IList<Int32>) Returns the van der Waerden scores corresponding to the specified ranks.
Variance<T>(Vector<T>) Returns the variance of the elements of a vector.
Variance<T>(T[], Boolean) Returns the variance of the elements of an array.
Variance<T>(IEnumerable<T>, Boolean) Returns the variance of the elements of a sequence.
Variance<T>(ReadOnlySpan<T>, Boolean) Returns the variance of the elements of a span.
VarianceAs<T, TResult>(Vector<T>) Returns the variance of the elements of a span.
VarianceAs<T, TResult>(ReadOnlySpan<T>, Boolean) Returns the variance of the elements of a span.
WeightedMean<T> Returns the mean of the variable with observations weighted by the specified vector.
WeightedStandardDeviation<T>(Vector<T>, Vector<T>) Returns the standard deviation of the variable with observations weighted by the specified vector.
WeightedStandardDeviation<T>(T[], T[], Boolean) Returns the standard deviation of the array with observations weighted by the specified array.
WeightedStandardDeviation<T>(ReadOnlySpan<T>, ReadOnlySpan<T>, Boolean) Returns the standard deviation of the variable with observations weighted by the specified vector.
WinsorizedMean Returns the Winsorized mean of the variable..

See Also