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Functions

The following table lists functions in this documentation.

 
Name 
Description 
 
Bernoulli cumulative distribution function (CDF). 
 
Bernoulli distribution point percent function (PPF). 
 
Bernoulli probability density function (PDF). 
 
Bernoulli distribution statistic parameters. 
 
Beta 
Beta function B. 
 
Beta CDF (vectorized). 
 
Beta cumulative distribution function (CDF). 
 
Beta PPF (vectorized). 
 
Beta distribution point percent function (PPF). 
 
Incomplete beta function. 
 
Beta PDF (vectorized). 
 
Beta probability density function (PDF). 
 
Beta distribution statistic parameters. 
 
Binomial cumulative distribution function (CDF). 
 
Binomial CDF (vectorized). 
 
Binomial PPF (vectorized). 
 
Binomial distribution point percent function (PPF). 
 
Binomial coefficient C(n,k). 
 
Binomial probability density function (PDF). 
 
Binomial PDF (vectorized). 
 
Binomial distribution statistic parameters. 
 
Bose-Einstein cumulative distribution function (CDF). 
 
Bose-Einstein PDF (vectorized). 
 
Bose-Einstein probability density function (PDF). 
 
Cauchy CDF (vectorized). 
 
Cauchy cumulative distribution function (CDF). 
 
Cauchy PPF (vectorized). 
 
Cauchy distribution point percent function (PPF). 
 
Cauchy PDF (vectorized). 
 
Cauchy probability density function (PDF). 
 
Cauchy distribution statistic parameters. 
 
Chi-Squared CDF (vectorized). 
 
Chi-squared cumulative distribution Function (CDF). 
 
Chi-Squared PPF (vectorized). 
 
Chi-squared distribution point percent function (PPF). 
 
Chi-Squared PDF (vectorized). 
 
Chi-squared probability density Function (PDF). 
 
Chi-squared distribution statistic parameters. 
 
Returns digamma function or psi(0,x)  
 
Dirichlet Beta function. 
 
Dirichlet Eta function. 
 
Dirichlet Lambda function. 
 
Erlang CDF (vectorized). 
 
Erlang distribution cumulative distribution function (CDF). 
 
Erlang PPF (vectorized). 
 
Erlang distribution point percent function (PPF). 
 
Erlang PDF (vectorized). 
 
Erlang probability density function (PDF). 
 
Erlang distribution statistic parameters. 
 
Exponential CDF (vectorized). 
 
Exponential cumulative distribution function (CDF). 
 
Exponential PPF (vectorized). 
 
Exponential distribution point percent function (PPF). 
 
Exponential distribution statistic parameters. 
 
Exponential PDF (vectorized). 
 
Exponential probability density function (PDF). 
 
Fatigue Life CDF (vectorized). 
 
Fatigue life cumulative distribution function (CDF). 
 
Fatigue Life PPF (vectorized). 
 
Fatigue life distribution point percent function (PPF). 
 
Fatigue Life PDF (vectorized). 
 
Fatigue life probability density function (PDF). 
 
Fatigue life distribution statistic parameters. 
 
FCDF 
Fisher(F) CDF (vectorized). 
 
FCDF 
F cumulative distribution function (CDF). 
 
This is function Probabilities.FCDFInv. 
 
F distribution point percent function (PPF). 
 
Fisher(F) PPF (vectorized). 
 
Fermi-Dirac cumulative distribution function (CDF). 
 
Fermi-Dirac cumulative distribution function (CDF). 
 
Fermi-Dirac probability density function (PDF). 
 
Fermi-Dirac probability density function (PDF). 
 
FPDF 
Fisher(F) PDF (vectorized). 
 
FPDF 
F probability density function (PDF). 
 
F(Fisher) distribution statistic parameters. 
 
Gamma distribution CDF (vectorized). 
 
Gamma cumulative distribution function (CDF). 
 
Gamma distribution PPF (vectorized). 
 
Gamma distribution point percent function (PPF). 
 
Fermi-Dirac PDF (vectorized).
Gamma distribution PDF (vectorized). 
 
Gamma probability density function (PDF). 
 
Gamma distribution statistic parameters. 
 
Generalized extreme value cumulative distribution function (CDF). 
 
Generalized extreme value distribution point percent function (PPF). 
 
Generalized extreme value probability density function (PDF). 
 
Generalized Extreme value distribution statistic parameters. 
 
Lerch transcendent function.
Generalized harmonic number H(n,m). 
 
Generalized Pareto cumulative distribution function (CDF). 
 
Generalized Pareto distribution point percent function (PPF). 
 
Generalized Pareto probability density function (PDF). 
 
Generalized Pareto value distribution statistic parameters. 
 
Geometric cumulative distribution function (CDF). 
 
Geometric distribution CDF (vectorized). 
 
Geometric distribution PPF (vectorized). 
 
Geometric distribution point percent function (PPF). 
 
Geometric probability density function (PDF). 
 
Geometric distribution PDF (vectorized). 
 
Geometric distribution statistic parameters. 
 
Gumbel distribution CDF (vectorized). 
 
Gumbel cumulative distribution function (CDF). 
 
Gumbel distribution PPF (vectorized). 
 
Gumbel distribution point percent function (PPF). 
 
Gumbel distribution PDF (vectorized). 
 
Gumbel probability density function (PDF). 
 
Gumbel distribution statistic parameters. 
 
Harmonic number H(n). 
 
Hypergeometric cumulative distribution function (CDF). 
 
Hypergeometric distribution CDF (vectorized). 
 
HyperGeometric distribution PPF (vectorized). 
 
Hypergeometric distribution point percent function (PPF). 
 
Hypergeometric probability density function (PDF). 
 
Hypergeometric distribution PDF (vectorized). 
 
Hypergeometric distribution statistic parameters. 
 
Inverse Chi-Square cumulative density function (CDF). 
 
Inverse Chi-Square Percent Point Function (PPF). 
 
Inverse Chi-Square probability distribution function (PDF). 
 
Inverse Chi-squared distribution statistic parameters. 
 
Inverse Gaussian distribution CDF (vectorized). 
 
Inverse Gaussian cumulative distribution function (CDF). 
 
Inverse Gaussian distribution PPF (vectorized). 
 
Inverse Gaussian distribution point percent function (PPF). 
 
Inverse Gaussian distribution PDF (vectorized). 
 
Inverse Gaussian probability density function (PDF). 
 
Inverse Gaussian distribution statistic parameters. 
 
Johnson bounded (SB) distribution CDF (vectorized). 
 
Johnson bounded cumulative distribution function (CDF). 
 
Johnson bounded (SB) distribution PPF (vectorized). 
 
Johnson bounded point percent function (PPF). 
 
Johnson bounded (SB) distribution PDF (vectorized). 
 
Johnson bounded probability density function (PDF). 
 
Johnson bounded (SB) distribution statistic parameters. 
 
Johnson unbounded (SU) distribution CDF (vectorized). 
 
Johnson unbounded cumulative distribution function (CDF). 
 
Johnson unbounded (SU) distribution PPF (vectorized). 
 
Johnson unbounded point percent function (PPF). 
 
Johnson unbounded (SU) distribution PDF (vectorized). 
 
Johnson unbounded probability density function (PDF). 
 
Johnson unbounded (SU) distribution statistic parameters. 
 
Laplace distribution CDF (vectorized). 
 
Laplace cumulative distribution function (CDF). 
 
Laplace distribution PPF (vectorized). 
 
Laplace distribution point percent function (PPF). 
 
Laplace distribution PDF (vectorized). 
 
Laplace probability densify function (PDF). 
 
Laplace distribution statistic parameters. 
 
Lerch transcendent function. 
 
Logarithmic cumulative distribution function (CDF). 
 
Logarithmic point percent function (PPF). 
 
Logarithmic probability densify function (PDF). 
 
Logarithmic distribution statistic parameters. 
 
Logistic CDF (vectorized). 
 
Logistic cumulative distribution function (CDF). 
 
Logistic distribution PPF (vectorized). 
 
Logistic distribution point percent function (PPF). 
 
Logistic PDF (vectorized). 
 
Logistic probability densify function (PDF). 
 
Logistic distribution statistic parameters. 
 
Log-Normal CDF (vectorized). 
 
Log-normal cumulative distribution function (CDF). 
 
Log-Normql distribution PPF (vectorized). 
 
Log-normal distribution point percent function (PPF). 
 
Log-Normal PDF (vectorized). 
 
Log-normal probability densify function (PDF). 
 
Log-Normal distribution statistic parameters. 
 
Log-Weibull CDF (vectorized). 
 
Log-Weibull cumulative distribution function (CDF). 
 
Log-Weibull distribution PPF (vectorized). 
 
Log-Weibull distribution point percent function (PPF). 
 
Log-Weibull PDF (vectorized). 
 
Log-Weibull probability densify function (PDF). 
 
Log-Weibull distribution statistic parameters. 
 
Maxwell CDF (vectorized). 
 
Maxwell cumulative distribution function (CDF). 
 
Negative binomial distribution PPF (vectorized). 
 
Maxwell point percent function (PPF). 
 
Maxwell PDF (vectorized). 
 
Maxwell probability density function (PDF). 
 
Maxwell distribution statistic parameters. 
 
Negative binomial cumulative distribution function (CDF). 
 
Negative binomial distribution CDF (vectorized). 
 
Negative binomial distribution PPF (vectorized). 
 
Negative binomial distribution point percent function (PPF). 
 
Negative binomial probability density function (PDF). 
 
Negative binomial distribution PDF (vectorized). 
 
Negaive binomial distribution statistic parameters. 
 
Normal distribution CDF (vectorized). 
 
Normal cumulative distribution function (CDF). 
 
Normal distribution PPF (vectorized). 
 
Normal distribution point percent function (PPF). 
 
Normal distribution PDF (vectorized). 
 
Normal probability density function (PDF). 
 
Normal distribution statistic parameters. 
 
Pareto distribution CDF (vectorized). 
 
Pareto cumulative distribution function (CDF). 
 
Pareto distribution PPF (vectorized). 
 
Pareto distribution point percent function (PPF). 
 
Pareto distribution PDF (vectorized). 
 
Pareto probability density function (PDF). 
 
Pareto distribution statistic parameters. 
 
Poisson distribution CDF (vectorized). 
 
Poisson cumulative distribution function (CDF). 
 
Poisson distribution PPF (vectorized). 
 
Poisson distribution point percent function (PPF). 
 
Poisson probability density function (PDF). 
 
Poisson distribution PDF (vectorized). 
 
Poisson distribution statistic parameters. 
 
Power distribution CDF (vectorized). 
 
ower cumulative density function (CDF). 
 
Power distribution PPF (vectorized). 
 
Power distribution point percent function (PPF). 
 
Power distribution PDF (vectorized). 
 
Power probability distribution function (PDF). 
 
Power distribution statistic parameters. 
 
psi 
Returns psi function of x.  
 
Rayleigh distribution CDF (vectorized). 
 
Rayleigh cumulative distribution function (CDF). 
 
Rayleigh distribution PPF (vectorized). 
 
Rayleigh distribution point percent function (PPF). 
 
Rayleigh distribution PDF (vectorized). 
 
Rayleigh probability density function (PDF). 
 
Rayleigh distribution statistic parameters. 
 
Riemann Zeta function. 
 
Student(T) distribution CDF (vectorized). 
 
Student cumulative distribution function (CDF). 
 
Student(T) distribution PPF (vectorized). 
 
Student distribution point percent function (PPF). 
 
Student(T) distribution PDF (vectorized). 
 
Student probability density function (PDF). 
 
PRange 
 
QRange 
 
Student(T) distribution statistic parameters. 
 
Triangular distribution CDF (vectorized). 
 
Triangular cumulative distribution function (CDF). 
 
Triangular distribution PPF (vectorized). 
 
Triangular distribution point percent function (PPF). 
 
Triangular distribution PDF (vectorized). 
 
Triangular probability density function (PDF). 
 
Triangular distribution statistic parameters. 
 
Returns trigamma function or psi(1,x)  
 
Discrete uniform distribution CDF (vectorized). 
 
Uniform cumulative distribution function (CDF). 
 
Uniform distribution PPF (vectorized). 
 
Uniform distribution point percent function (PPF). 
 
Discrete uniform cumulative distribution function (CDF). 
 
Discrete uniform distribution CDF (vectorized). 
 
Discrete uniform distribution PPF (vectorized). 
 
Discrete uniform distribution point percent function (PPF). 
 
Discrete uniform probability density function (PDF). 
 
Discrete uniform distribution PDF (vectorized). 
 
Discrete uniform distribution statistic parameters. 
 
Uniform distribution PDF (vectorized). 
 
Uniform probability density function (PDF). 
 
Unniform distribution statistic parameters. 
 
Weibull distribution CDF (vectorized). 
 
Weibull cumulative distribution function (CDF). 
 
Weibull distribution PPF (vectorized). 
 
Weibull distribution point percent function (PPF). 
 
Weibull distribution PDF (vectorized). 
 
Weibull probability density function (PDF). 
 
Weibull distribution moment estimates. 
 
Zipf distribution cumulative distribution function (CDF). 
 
Zipf distribution CDF (vectorized). 
 
Zipf distribution PPF (vectorized). 
 
Zipf distribution point percent function (PPF). 
 
Zipf distribution probability density function (PDF). 
 
Zipf distribution PDF (vectorized). 
 
Zipf distribution moment estimates. 
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