Array |
Statistics operating on arrays assumed to be unsorted.
WARNING: Methods with the Inplace-suffix may modify the data array by reordering its entries.
Inheritance HierarchyNamespace: Altaxo.Calc.Statistics
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public static class ArrayStatistics
The ArrayStatistics type exposes the following members.
Methods| Name | Description | |
|---|---|---|
  | Covariance(Double, Double) | Estimates the unbiased population covariance from the provided two sample arrays. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| Covariance(Int32, Int32) | Estimates the unbiased population covariance from the provided two sample arrays. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| Covariance(Single, Single) | Estimates the unbiased population covariance from the provided two sample arrays. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| FiveNumberSummaryInplace(Double) | Estimates {min, lower-quantile, median, upper-quantile, max} from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| FiveNumberSummaryInplace(Single) | Estimates {min, lower-quantile, median, upper-quantile, max} from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| GeometricMean(Double) | Evaluates the geometric mean of the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| GeometricMean(Int32) | Evaluates the geometric mean of the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| GeometricMean(Single) | Evaluates the geometric mean of the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| HarmonicMean(Double) | Evaluates the harmonic mean of the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| HarmonicMean(Int32) | Evaluates the harmonic mean of the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| HarmonicMean(Single) | Evaluates the harmonic mean of the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| InterquartileRangeInplace(Double) | Estimates the inter-quartile range from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| InterquartileRangeInplace(Single) | Estimates the inter-quartile range from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| LowerQuartileInplace(Double) | Estimates the first quartile value from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| LowerQuartileInplace(Single) | Estimates the first quartile value from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| Maximum(Double) | Returns the largest value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| Maximum(Single) | Returns the smallest value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MaximumAbsolute(Double) | Returns the largest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MaximumAbsolute(Single) | Returns the largest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MaximumMagnitudePhase(Complex) | Returns the largest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MaximumMagnitudePhase(Complex32) | Returns the largest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| Mean(Double) | Estimates the arithmetic sample mean from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| Mean(Int32) | Estimates the arithmetic sample mean from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| Mean(Single) | Estimates the arithmetic sample mean from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MeanStandardDeviation(Double) | Estimates the arithmetic sample mean and the unbiased population standard deviation from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN for mean if data is empty or any entry is NaN and NaN for standard deviation if data has less than two entries or if any entry is NaN. |
| MeanStandardDeviation(Int32) | Estimates the arithmetic sample mean and the unbiased population standard deviation from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN for mean if data is empty or any entry is NaN and NaN for standard deviation if data has less than two entries or if any entry is NaN. |
| MeanStandardDeviation(Single) | Estimates the arithmetic sample mean and the unbiased population standard deviation from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN for mean if data is empty or any entry is NaN and NaN for standard deviation if data has less than two entries or if any entry is NaN. |
| MeanVariance(Double) | Estimates the arithmetic sample mean and the unbiased population variance from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN for mean if data is empty or any entry is NaN and NaN for variance if data has less than two entries or if any entry is NaN. |
| MeanVariance(Int32) | Estimates the arithmetic sample mean and the unbiased population variance from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN for mean if data is empty or any entry is NaN and NaN for variance if data has less than two entries or if any entry is NaN. |
| MeanVariance(Single) | Estimates the arithmetic sample mean and the unbiased population variance from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN for mean if data is empty or any entry is NaN and NaN for variance if data has less than two entries or if any entry is NaN. |
| MedianInplace(Double) | Estimates the median value from the unsorted data array. WARNING: Works inplace and can thus causes the data array to be reordered. |
| MedianInplace(Single) | Estimates the median value from the unsorted data array. WARNING: Works inplace and can thus causes the data array to be reordered. |
| Minimum(Double) | Returns the smallest value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| Minimum(Single) | Returns the smallest value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MinimumAbsolute(Double) | Returns the smallest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MinimumAbsolute(Single) | Returns the smallest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MinimumMagnitudePhase(Complex) | Returns the smallest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| MinimumMagnitudePhase(Complex32) | Returns the smallest absolute value from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| OrderStatisticInplace(Double, Int32) | Returns the order statistic (order 1..N) from the unsorted data array. WARNING: Works inplace and can thus causes the data array to be reordered. |
| OrderStatisticInplace(Single, Int32) | Returns the order statistic (order 1..N) from the unsorted data array. WARNING: Works inplace and can thus causes the data array to be reordered. |
| PercentileInplace(Double, Int32) | Estimates the p-Percentile value from the unsorted data array. If a non-integer Percentile is needed, use Quantile instead. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| PercentileInplace(Single, Int32) | Estimates the p-Percentile value from the unsorted data array. If a non-integer Percentile is needed, use Quantile instead. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| PopulationCovariance(Double, Double) | Evaluates the population covariance from the full population provided as two arrays. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationCovariance(Int32, Int32) | Evaluates the population covariance from the full population provided as two arrays. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationCovariance(Single, Single) | Evaluates the population covariance from the full population provided as two arrays. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationStandardDeviation(Double) | Evaluates the population standard deviation from the full population provided as unsorted array. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationStandardDeviation(Int32) | Evaluates the population standard deviation from the full population provided as unsorted array. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationStandardDeviation(Single) | Evaluates the population standard deviation from the full population provided as unsorted array. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationVariance(Double) | Evaluates the population variance from the full population provided as unsorted array. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationVariance(Int32) | Evaluates the population variance from the full population provided as unsorted array. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| PopulationVariance(Single) | Evaluates the population variance from the full population provided as unsorted array. On a dataset of size N will use an N normalizer and would thus be biased if applied to a subset. Returns NaN if data is empty or if any entry is NaN. |
| QuantileCustomInplace(Double, Double, QuantileDefinition) | Estimates the tau-th quantile from the unsorted data array. The tau-th quantile is the data value where the cumulative distribution function crosses tau. The quantile definition can be specified to be compatible with an existing system. WARNING: Works inplace and can thus causes the data array to be reordered. |
| QuantileCustomInplace(Single, Double, QuantileDefinition) | Estimates the tau-th quantile from the unsorted data array. The tau-th quantile is the data value where the cumulative distribution function crosses tau. The quantile definition can be specified to be compatible with an existing system. WARNING: Works inplace and can thus causes the data array to be reordered. |
| QuantileCustomInplace(Double, Double, Double, Double, Double, Double) | Estimates the tau-th quantile from the unsorted data array. The tau-th quantile is the data value where the cumulative distribution function crosses tau. The quantile definition can be specified by 4 parameters a, b, c and d, consistent with Mathematica. WARNING: Works inplace and can thus causes the data array to be reordered. |
| QuantileCustomInplace(Single, Double, Double, Double, Double, Double) | Estimates the tau-th quantile from the unsorted data array. The tau-th quantile is the data value where the cumulative distribution function crosses tau. The quantile definition can be specified by 4 parameters a, b, c and d, consistent with Mathematica. WARNING: Works inplace and can thus causes the data array to be reordered. |
| QuantileInplace(Double, Double) | Estimates the tau-th quantile from the unsorted data array. The tau-th quantile is the data value where the cumulative distribution function crosses tau. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| QuantileInplace(Single, Double) | Estimates the tau-th quantile from the unsorted data array. The tau-th quantile is the data value where the cumulative distribution function crosses tau. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| RanksInplace(Double, RankDefinition) | Evaluates the rank of each entry of the unsorted data array. The rank definition can be specified to be compatible with an existing system. WARNING: Works inplace and can thus causes the data array to be reordered. |
| RanksInplace(Single, RankDefinition) | Evaluates the rank of each entry of the unsorted data array. The rank definition can be specified to be compatible with an existing system. WARNING: Works inplace and can thus causes the data array to be reordered. |
| RootMeanSquare(Double) | Estimates the root mean square (RMS) also known as quadratic mean from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| RootMeanSquare(Int32) | Estimates the root mean square (RMS) also known as quadratic mean from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| RootMeanSquare(Single) | Estimates the root mean square (RMS) also known as quadratic mean from the unsorted data array. Returns NaN if data is empty or any entry is NaN. |
| StandardDeviation(Double) | Estimates the unbiased population standard deviation from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| StandardDeviation(Int32) | Estimates the unbiased population standard deviation from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| StandardDeviation(Single) | Estimates the unbiased population standard deviation from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| UpperQuartileInplace(Double) | Estimates the third quartile value from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| UpperQuartileInplace(Single) | Estimates the third quartile value from the unsorted data array. Approximately median-unbiased regardless of the sample distribution (R8). WARNING: Works inplace and can thus causes the data array to be reordered. |
| Variance(Double) | Estimates the unbiased population variance from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| Variance(Int32) | Estimates the unbiased population variance from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
| Variance(Single) | Estimates the unbiased population variance from the provided samples as unsorted array. On a dataset of size N will use an N-1 normalizer (Bessel's correction). Returns NaN if data has less than two entries or if any entry is NaN. |
See Also