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    • Mars.Common
      • GeoHash
      • GeoHashDecoder
      • GeohashDecodeResult
      • GeoHashEncoder
      • GeoHashPrecision
      • Hyperrectangle
      • InputHashHelper
      • PositionHelper
    • Mars.Common.Collections
      • BinaryArrayHeap<T>
      • DoubleBits
      • FibonacciHeap<T, TKey>
      • FibonacciHeapDoubleKey<T>
      • FibonacciHeapNode<T, TKey>
      • FibonacciHeapNodeDoubleKey<T>
      • HeapNode
      • IntervalSize
      • K2DTree<T>
      • K2dTreeNode<T>
      • KdTree
      • KdTree<T>
      • KdTreeBase<TNode>
      • KdTreeNode
      • KdTreeNode<T>
      • KdTreeNodeBase<TNode>
      • KdTreeNodeCollection<TNode>
      • KdTreeNodeList<T>
      • Key
      • Node<T>
      • NodeBase<T>
      • NodeDataContainer<T>
      • NodeDistance<TNode>
      • QuadTree<T>
      • Root<T>
      • TreeDataContainer<T>
    • Mars.Common.Collections.CritBit
      • ICritBitTree<TValue>
    • Mars.Common.Collections.Graph
      • EdgeData
      • GraphData
      • GraphSerializer
      • ISpatialGraph
      • KeyContainer
      • NodeData
      • SpatialGraph
      • SpatialGraphHelper
    • Mars.Common.Collections.Graph.Algorithms
      • AStar
      • CompressedPathDatabase
      • ContractionSearch
      • DepthLimitedTraversal
    • Mars.Common.Collections.Graph.Helper
      • INodeFinder
      • KdTreeNodeFinder
      • RunLengthEncoder
    • Mars.Common.Collections.KNNGraph
      • DefaultRandomGenerator
      • DistanceUtils
      • EventSources
      • EventSources.GraphBuildEventSource
      • EventSources.GraphSearchEventSource
      • IProgressReporter
      • IProvideRandomValues
      • KnnGraph<TItem, TDistance>
      • KnnGraph<TItem, TDistance>.KnnSearchResult
      • KnnGraph<TItem, TDistance>.Parameters
      • Node
      • ReverseComparer<T>
      • ReverseComparerExtensions
      • SelectionKind
      • TravelingCosts<TItem, TDistance>
    • Mars.Common.Compat
      • FormatDecoderAttribute
      • FormatEncoderAttribute
      • FormatHandlerAttribute
      • IntegerAttribute
      • NegativeIntegerAttribute
      • NonnegativeIntegerAttribute
      • NonpositiveIntegerAttribute
      • PositiveIntegerAttribute
    • Mars.Common.Data
      • DomainDataImporter
    • Mars.Common.Data.Providers
      • AscDataProvider
      • GeoJsonFeatureCollectionConverter
      • GeoJsonFeatureConverter
      • GeometryDataProvider
      • GraphMlProvider
      • HttpDataProvider
      • IDataProvider<TInput>
      • JsonFileDataProvider
      • JsonTextDataProvider
      • XmlFileDataProvider
      • XmlTextDataProvider
    • Mars.Common.Exceptions
      • DimensionMismatchException
      • ParseException
    • Mars.Common.IO
      • ExtensionMethods
      • FileClientUtils
      • FileKeys
      • HttpClientUtils
      • ObjectSerialize
      • Serializer
      • SerializerCompression
      • SparseFormat
      • SparseReader
      • SparseWriter
    • Mars.Common.IO.Attributes
      • SerializationBinderAttribute
      • SurrogateSelectorAttribute
    • Mars.Common.IO.Console
      • ChildProgressBar
      • IProgressBar
      • ProgressBar
      • ProgressBarBase
      • ProgressBarHeight
      • ProgressBarOptions
      • ProgressBarSimple
    • Mars.Common.IO.Csv
      • CsvAnalyzer
      • CsvReader
      • CsvReader.RecordEnumerator
      • CsvWriter
      • MissingFieldAction
      • ParseErrorAction
      • ValueTrimmingOptions
    • Mars.Common.IO.Events
      • ParseErrorEventArgs
    • Mars.Common.IO.Exceptions
      • MalformedCsvException
      • MissingFieldCsvException
    • Mars.Common.IO.Mapped
      • Context
      • DefaultArrayFactory
      • Extensions
      • IArrayFactory
      • ISerializableToStream
      • MappedAccessor<T>
      • MemoryMap
      • MemoryMap.CreateAccessorFunc<T>
      • MemoryMap.ReadFromDelegate<T>
      • MemoryMap.WriteToDelegate<T>
      • MemoryMapDelegates
      • MemoryMapDelegates.CreateAccessorFunc<T>
      • MemoryMapStream
    • Mars.Common.IO.Mapped.Accessors
      • MappedAccessorByte
      • MappedAccessorDouble
      • MappedAccessorInt16
      • MappedAccessorInt32
      • MappedAccessorInt64
      • MappedAccessorSingle
      • MappedAccessorUInt16
      • MappedAccessorUInt32
      • MappedAccessorUInt64
      • MappedAccessorVariable<T>
    • Mars.Common.IO.Mapped.Arrays
      • Array<T>
      • ArrayBase<T>
      • ArrayProfile
      • MappedArray<TMapped, T>
      • MappedArray<TMapped, T>.MapFrom
      • MappedArray<TMapped, T>.MapTo
      • MemoryArray<T>
      • VariableArray<T>
    • Mars.Common.IO.Mapped.Collections
      • MemoryBackedDictionary<TKey, TValue>
      • MemoryBackedList<T>
    • Mars.Common.IO.Mapped.Indexes
      • Index<T>
    • Mars.Common.IO.Mapped.Streams
      • CappedStream
    • Mars.Common.Socket
      • ByteOrder
      • CloseEventArgs
      • CloseStatusCode
      • CompressionMethod
      • ErrorEventArgs
      • Ext
      • MessageEventArgs
      • WebSocket
      • WebSocketException
      • WebSocketState
    • Mars.Common.Socket.Server
      • IWebSocketSession
      • WebHeaderCollection
      • WebSocketBehavior
      • WebSocketContext
      • WebSocketServer
      • WebSocketServiceHost
      • WebSocketServiceManager
      • WebSocketSessionManager
    • Mars.Numerics
      • Classes
      • Combinatorics
      • Constants
      • Distance
      • Elementwise
      • Jagged
      • MathematicsException
      • MathHelper
      • Matrix
      • MatrixOrder
      • MatrixType
      • Norm
      • Sort
      • Sorting
      • Sparse
      • Sparse<T>
      • Tools
      • Vector
      • VectorHelper
      • VectorType
    • Mars.Numerics.Comparers
      • ArrayComparer<T>
      • ComparerDirection
      • CustomComparer<T>
      • ElementComparer
      • ElementComparer<T>
      • GeneralComparer
      • StableComparer<T>
    • Mars.Numerics.Distances
      • Angular
      • Chebyshev
      • Cosine
      • Dirac<T>
      • Euclidean
      • Hamming
      • Hamming<T>
      • Haversine
      • Jaccard
      • Jaccard<T>
      • Kulczynski
      • Levenshtein
      • Levenshtein<T>
      • Manhattan
      • Matching
      • Minkowski
      • SquareEuclidean
      • Vincenty
      • Vincenty.Ellipsoid
    • Mars.Numerics.Distances.Base
      • IDistance<T>
      • IDistance<TFirst, TSecond>
      • IMetric<T>
      • ISimilarity<T, TU>
      • ISimilarity<T>
    • Mars.Numerics.Exceptions
      • DimensionMismatchException
      • NonPositiveDefiniteMatrixException
      • SingularMatrixException
    • Mars.Numerics.Formats
      • DefaultMatrixFormatProvider
      • IMatrixFormatProvider
      • MatrixFormatProviderBase
      • MatrixFormatter
      • OctaveMatrixFormatProvider
    • Mars.Numerics.Ranges
      • ByteRange
      • DoubleRange
      • FloatRange
      • IntRange
      • IRange<T>
    • Mars.Numerics.Statistics
      • ConstValueDistribution<T>
      • Distribution<T>
      • FastGaussianDistributionD
      • FastGaussianDistributionF
      • IDistribution
      • UniformDiscreteDistribution
      • UniformDistributionD
      • UniformDistributionF
    • Mars.Numerics.Statistics.Base
      • BinarySearch
      • DistributionBase
      • ISampleableDistribution<TObservations>
      • IUnivariateDistribution
      • IUnivariateDistribution<TObservation>
      • UnivariateDiscreteDistribution

    Interface IUnivariateDistribution

    Common interface for univariate probability distributions.
    Inherited Members
    IDistribution.DistributionFunction(Double[])
    IDistribution.ProbabilityFunction(Double[])
    Namespace: Mars.Numerics.Statistics.Base
    Assembly: Mars.Numerics.dll
    Syntax
    public interface IUnivariateDistribution : IDistribution, ICloneable
    Remarks

    This interface is implemented by both univariate UnivariateDiscreteDistribution and Continuous Distributions .

    Properties

    Entropy

    Gets entropy of the distribution.
    Declaration
    double Entropy { get; }
    Property Value
    Type Description
    System.Double The distribution's entropy.

    Mean

    Gets the mean value for the distribution.
    Declaration
    double Mean { get; }
    Property Value
    Type Description
    System.Double The distribution's mean.

    Median

    Gets the median value for the distribution.
    Declaration
    double Median { get; }
    Property Value
    Type Description
    System.Double The distribution's median.

    Mode

    Gets the mode value for the distribution.
    Declaration
    double Mode { get; }
    Property Value
    Type Description
    System.Double The distribution's mode.

    Quartiles

    Gets the Quartiles for this distribution.
    Declaration
    DoubleRange Quartiles { get; }
    Property Value
    Type Description
    DoubleRange A DoubleRange object containing the first quartile (Q1) as its minimum value, and the third quartile (Q2) as the maximum.

    Support

    Gets the support interval for this distribution.
    Declaration
    DoubleRange Support { get; }
    Property Value
    Type Description
    DoubleRange A DoubleRange containing the support interval for this distribution.

    Variance

    Gets the variance value for the distribution.
    Declaration
    double Variance { get; }
    Property Value
    Type Description
    System.Double The distribution's variance.

    Methods

    GetRange(Double)

    Gets the distribution range within a given percentile.
    Declaration
    DoubleRange GetRange(double percentile)
    Parameters
    Type Name Description
    System.Double percentile The percentile at which the distribution ranges will be returned.
    Returns
    Type Description
    DoubleRange A DoubleRange object containing the minimum value for the distribution value, and the third quartile (Q2) as the maximum.
    Remarks
    If 0.25 is passed as the percentile argument, this function returns the same as the Quartiles function.

    Extension Methods

    DomainDataImporter.Import(Object, InputConfiguration)
    ObjectSerialize.Serialize(Object)
    Serializer.Save<T>(T, Stream, SerializerCompression)
    Serializer.Save<T>(T, BinaryFormatter, Stream, SerializerCompression)
    Serializer.Save<T>(T, String)
    Serializer.Save<T>(T, String, SerializerCompression)
    Serializer.Save<T>(T, out Byte[], SerializerCompression)
    Matrix.Replace<T>(T, Object, Object)
    Matrix.IsEqual(Object, Object, Decimal, Decimal)
    Matrix.Concatenate<T>(T, T[])

    See Also

    UniformDiscreteDistribution
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