Discrete Random Variables: Distribution Functions and Probability Functions

Distribution Functions

Binomial distribution function.......................................................................... binomial_cdf

Binomial probability function........................................................................... binomial_pdf

Hypergeometric distribution function..................................................... hypergeometric_cdf

Hypergeometric probability function...................................................... hypergeometric_pdf

Poisson distribution function........................................................................... poisson_cdf

Poisson probability function............................................................................ poisson_pdf

Continuous Random Variables

Distribution Functions and Their Inverses

Beta distribution function..................................................................................... beta_cdf

Inverse beta distribution function............................................................... beta_inverse_cdf

Bivariate normal distribution function.................................................... bivariate_normal_cdf

Chi-squared distribution function............................................................... chi_squared_cdf

Inverse chi-squared
distribution function...................................................................... chi_squared_inverse_cdf

Noncentral chi-squared
distribution function............................................................................. non_central_chi_sq

Inverse of the noncentral chi-squared
distribution function........................................................................ non_central_chi_sq_inv

F distribution function.............................................................................................. F_cdf

Inverse F distribution function....................................................................... F_inverse_cdf

Gamma distribution function............................................................................ gamma_cdf

Inverse gamma distribution function...................................................... gamma_inverse_cdf

Normal (Gaussian) distribution function............................................................. 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

Noncentral Students’s t distribution function ............................................ non_central_t_cdf

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

 

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