Probability Distribution Functions and Inverses

CNL Stat : Probability Distribution Functions and Inverses

Functions

Discrete Random Variables: Distribution Functions and Probability Functions

Distribution Functions

Binomial distribution function, binomial_cdf

Binomial probability function, binomial_pdf

Discrete geometric cumulative distribution function, geometric_cdf

Inverse of the discrete geometric cumulative
distribution function , geometric_inverse_cdf

Discrete geometric probability density function, geometric_pdf

Hypergeometric distribution function, hypergeometric_cdf

Hypergeometric probability function, hypergeometric_pdf

Poisson distribution function, poisson_cdf

Poisson probability function, poisson_pdf

Discrete uniform cumulative distribution function, discrete_uniform_cdf

Inverse of the discrete uniform cumulative
distribution function , discrete_uniform_inverse_cdf

Discrete uniform probability density function, discrete_uniform_pdf

Continuous Random Variables

Distribution Functions and their Inverses

Beta distribution function, beta_cdf

Inverse beta distribution function, beta_inverse_cdf

Noncentral beta cumulative distribution
function (CDF) , non_central_beta_cdf

Inverse of the noncentral beta CDF, non_central_beta_inverse_cdf

Noncentral beta probability density function (PDF), non_central_beta_pdf

Bivariate normal distribution function, bivariate_normal_cdf

Chi-squared distribution function, chi_squared_cdf

Inverse chi-squared distribution function, chi_squared_inverse_cdf

Calculates the complement of the chi-squared
distribution, complementary_chi_squared_cdf

Noncentral chi-squared distribution function, non_central_chi_sq

Inverse of the noncentral chi-squared distribution function, non_central_chi_sq_inv

Noncentral chi-squared probability
density function (PDF) , non_central_chi_sq_pdf

Exponential cumulative distribution function, exponential_cdf

Inverse of the exponential cumulative
distribution function , exponential_inverse_cdf

Exponential probability density function, exponential_pdf

F distribution function , F_cdf

Inverse F distribution function , F_inverse_cdf

Calculates the complement of the F distribution
function, complementary_F_cdf

Noncentral F probability density
function (PDF) , non_central_F_pdf

Noncentral F cumulative distribution
function (CDF) , non_central_F_cdf

Calculates the complement of the noncentral
F CDF, complementary_non_central_F_cdf

Inverse of the noncentral F distribution function, non_central_F_inverse_cdf

Gamma distribution function, gamma_cdf

Inverse gamma distribution function, gamma_inverse_cdf

Lognormal cumulative distribution function, lognormal_cdf

Inverse of the lognormal cumulative distribution function, lognormal_inverse_cdf

Lognormal probability density function, lognormal_pdf

Normal (Gaussian) distribution function, normal_cdf

Multivariate normal distribution function, multivariate_normal_cdf

Inverse normal distribution function, normal_inverse_cdf

Student’s t distribution function , t_cdf

Inverse Student’s t distribution function , t_inverse_cdf

Calculates the complement of the Student’s t
distribution, complementary_t_cdf

Noncentral Student’s t distribution function , non_central_t_cdf

Inverse of the noncentral Student’s t distribution function , non_central_t_inv_cdf

Pareto cumulative probability distribution function, pareto_cdf

Pareto probability density function, pareto_pdf

Parameter Estimation

Maximum likelihood estimation for univariate
probability distributions, max_likelihood_estimates