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SortedArrayStatistics Class

Statistics operating on an array already sorted ascendingly.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.StatisticsSortedArrayStatistics

Namespace: Altaxo.Calc.Statistics
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
public static class SortedArrayStatistics

The SortedArrayStatistics type exposes the following members.

Methods
 NameDescription
Public methodStatic memberEmpiricalCDF(Double, Double) Estimates the empirical cumulative distribution function (CDF) at x from the sorted data array (ascending).
Public methodStatic memberEmpiricalCDF(Single, Single) Estimates the empirical cumulative distribution function (CDF) at x from the sorted data array (ascending).
Public methodStatic memberFiveNumberSummary(Double) Estimates {min, lower-quantile, median, upper-quantile, max} from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberFiveNumberSummary(Single) Estimates {min, lower-quantile, median, upper-quantile, max} from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberInterquartileRange(Double) Estimates the inter-quartile range from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberInterquartileRange(Single) Estimates the inter-quartile range from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberLowerQuartile(Double) Estimates the first quartile value from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberLowerQuartile(Single) Estimates the first quartile value from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberMaximum(Double) Returns the largest value from the sorted data array (ascending).
Public methodStatic memberMaximum(Single) Returns the largest value from the sorted data array (ascending).
Public methodStatic memberMedian(Double) Estimates the median value from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberMedian(Single) Estimates the median value from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberMinimum(Double) Returns the smallest value from the sorted data array (ascending).
Public methodStatic memberMinimum(Single) Returns the smallest value from the sorted data array (ascending).
Public methodStatic memberOrderStatistic(Double, Int32) Returns the order statistic (order 1..N) from the sorted data array (ascending).
Public methodStatic memberOrderStatistic(Single, Int32) Returns the order statistic (order 1..N) from the sorted data array (ascending).
Public methodStatic memberPercentile(Double, Int32) Estimates the p-Percentile value from the sorted data array (ascending). If a non-integer Percentile is needed, use Quantile instead. Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberPercentile(Single, Int32) Estimates the p-Percentile value from the sorted data array (ascending). If a non-integer Percentile is needed, use Quantile instead. Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberQuantile(Double, Double) Estimates the tau-th quantile from the sorted data array (ascending). The tau-th quantile is the data value where the cumulative distribution function crosses tau. Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberQuantile(Single, Double) Estimates the tau-th quantile from the sorted data array (ascending). The tau-th quantile is the data value where the cumulative distribution function crosses tau. Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberQuantileCustom(Double, Double, QuantileDefinition) Estimates the tau-th quantile from the sorted data array (ascending). 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.
Public methodStatic memberQuantileCustom(Single, Double, QuantileDefinition) Estimates the tau-th quantile from the sorted data array (ascending). 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.
Public methodStatic memberQuantileCustom(Double, Double, Double, Double, Double, Double) Estimates the tau-th quantile from the sorted data array (ascending). 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.
Public methodStatic memberQuantileCustom(Single, Double, Double, Double, Double, Double) Estimates the tau-th quantile from the sorted data array (ascending). 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.
Public methodStatic memberQuantileRank(Double, Double, RankDefinition) Estimates the quantile tau from the sorted data array (ascending). 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.
Public methodStatic memberQuantileRank(Single, Single, RankDefinition) Estimates the quantile tau from the sorted data array (ascending). 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.
Public methodStatic memberRanks(Double, RankDefinition) Evaluates the rank of each entry of the sorted data array (ascending). The rank definition can be specified to be compatible with an existing system.
Public methodStatic memberRanks(Single, RankDefinition) Evaluates the rank of each entry of the sorted data array (ascending). The rank definition can be specified to be compatible with an existing system.
Public methodStatic memberUpperQuartile(Double) Estimates the third quartile value from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
Public methodStatic memberUpperQuartile(Single) Estimates the third quartile value from the sorted data array (ascending). Approximately median-unbiased regardless of the sample distribution (R8).
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See Also