Knowledge Base

Function list: Probabilities

MtxVec Probabilities function list

Probabilities

For comprehensive help file please see the online documentation of MtxVec for Delphi/C++ Builder or MtxVec for Visual Studio .NET

The Probabilities unit includes 36 most common probability distributions. All distributions support Probability Density Function (PDF), Cumulative Distribution Function (CDF) and Point Percent Function (InvCDF aka PPF):

Discrete distributions:

  • Bernoulli distribution (PDF, CDF and PPF),
  • binomial distribution (PDF, CDF and PPF),
  • geometric distribution (PDF, CDF and PPF),
  • hypergeometric distribution (PDF, CDF and PPF),
  • logarithmic distribution (PDF, CDF and PPF),
  • negative binomial distribution (PDF, CDF and PPF),
  • Poisson distribution (PDF, CDF and PPF),
  • discrete uniform Distribution (PDF, CDF and PPF),
  • Zipf distribution (PDF, CDF and PPF).

Continuous distributions:

  • Beta distribution (PDF, CDF and PPF),
  • Cauchy distribution (PDF, CDF and PPF),
  • Chi-squared distribution (PDF, CDF and PPF),
  • Erlang distribution (PDF, CDF and PPF),
  • exponential distribution (PDF, CDF and PPF),
  • Fatigue-Life distribution (PDF, CDF and PPF),
  • F distribution (PDF, CDF and PPF),
  • gamma distribution (PDF, CDF and PPF),
  • Gumbel distribution (PDF, CDF and PPF),
  • Inverse Gaussian distribution (PDF, CDF and PPF),
  • Johnson SB distribution (PDF, CDF and PPF),
  • Johnson UB distribution (PDF, CDF and PPF),
  • Laplace distribution (PDF, CDF and PPF),
  • Logistic distribution (PDF, CDF and PPF),
  • Log-Normal distribution (PDF, CDF and PPF),
  • Log-Weibull distribution (PDF, CDF and PPF),
  • Maxwell distribution (PDF, CDF and PPF)
  • Normal distribution (PDF, CDF and PPF),
  • Pareto distribution (PDF, CDF and PPF),
  • Power distribution (PDF, CDF and PPF),
  • Rayleigh distribution (PDF, CDf and PPF),
  • Student (T) distribution (PDF, CDF and PPF),
  • Continuous uniform distribution (PDF, CDF and PPF),
  • Triangular distribution (PDF, CDF and PPF),
  • Weibull distribution (PDF, CDF and PPF).

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