BinomialDistribution Class

Generates Binomial distributed random numbers.

Inheritance Hierarchy

SystemObject
  Altaxo.Calc.ProbabilityDistribution
    Altaxo.Calc.ProbabilityDiscreteDistribution
      Altaxo.Calc.ProbabilityBinomialDistribution

Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)

Syntax

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public class BinomialDistribution : DiscreteDistribution

The BinomialDistribution type exposes the following members.

Constructors

	Name	Description
	BinomialDistribution	Initializes a new instance of the BinomialDistribution class, using a StandardGenerator as the underlying random number generator.
	BinomialDistribution(Generator)	Initializes a new instance of the BinomialDistribution class, using the specified Generator as the underlying random number generator.
	BinomialDistribution(Int32, Double)	Initializes a new instance of the BinomialDistribution class with the specified parameters, using a StandardGenerator as the underlying random number generator.
	BinomialDistribution(Int32, Double, Generator)	Initializes a new instance of the BinomialDistribution class with the specified parameters, using the specified Generator as the underlying random number generator.

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Properties

	Name	Description
	CanReset	Gets a value indicating whether the random number distribution can be reset so that it produces the same random number sequence again. (Inherited from Distribution)
	Generator	Gets or sets a Generator object that can be used as the underlying random number generator. (Inherited from Distribution)
	Maximum	Gets the maximum possible value of binomial distributed random numbers. (Overrides DistributionMaximum)
	Mean	Gets the mean value of binomial distributed random numbers. (Overrides DistributionMean)
	Median	Gets the median of binomial distributed random numbers. (Overrides DistributionMedian)
	Minimum	Gets the minimum possible value of binomial distributed random numbers. (Overrides DistributionMinimum)
	Mode	Gets the mode of binomial distributed random numbers. (Overrides DistributionMode)
	Number	Gets the parameter 'maximum value' of this distribution.
	Probability	Gets the parameter 'probability' of this distribution.
	Variance	Gets the variance of binomial distributed random numbers. (Overrides DistributionVariance)

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Methods

	Name	Description
	CDF(Double)	Returns the cumulative distribution function (CDF) evaluated at x. (Overrides DiscreteDistributionCDF(Double))
	CDF(Double, Double, Int32)	Returns the cumulative distribution function (CDF) of a binomial distribution.
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	Initialize	Initializes this instance with the specified distribution parameters.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	NextDouble	Returns a distributed floating-point random number. (Overrides DistributionNextDouble)
	PDF(Double)	Returns the probability mass function (PMF) evaluated at x. (Overrides DiscreteDistributionPDF(Double))
	PDF(Double, Double, Int32)	Returns the probability mass function (PMF) of a binomial distribution.
	Quantile	Returns the quantile corresponding to the specified cumulative probability. (Overrides DiscreteDistributionQuantile(Double))
	Reset	Resets the random number distribution so that it produces the same random number sequence again. (Inherited from Distribution)
	ToString	Returns a string that represents the current object. (Inherited from Object)

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Fields

	Name	Description
	en	Stores the distribution parameters and helper values used during random number generation.
	en1	Stores the distribution parameters and helper values used during random number generation.
	gamen1	Stores the distribution parameters and helper values used during random number generation.
	generator	Stores a Generator object that can be used as the underlying random number generator. (Inherited from Distribution)
	n	Stores the number of trials.
	np	Stores the distribution parameters and helper values used during random number generation.
	npexp	Stores the distribution parameters and helper values used during random number generation.
	p	Stores the distribution parameters and helper values used during random number generation.
	pc	Stores the distribution parameters and helper values used during random number generation.
	pclog	Stores the distribution parameters and helper values used during random number generation.
	plog	Stores the distribution parameters and helper values used during random number generation.
	scale	Stores the distribution parameters and helper values used during random number generation.
	scalepi	Stores the distribution parameters and helper values used during random number generation.
	sq	Stores the distribution parameters and helper values used during random number generation.
	sym	Stores whether the symmetry transformation p ↔ 1 - p is being used.

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Remarks


             Returns a binomial distributed deviate (integer returned in a double)
             according to the distribution:
            
                          j+eps                 / n \    j      n-j
                  integral       p   (m) dm  = |     |  q  (1-q)
                          j-eps   n,q           \ j /
            
             References:
             D. E. Knuth: The Art of Computer Programming, Vol. 2, Seminumerical
             Algorithms, pp. 120, 2nd edition, 1981.
                                         //
             W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling,
             Numerical Recipies in C, Cambridge Univ. Press, 1988.

Reference

Altaxo.Calc.Probability Namespace