| gaussian(x,sigma) | probability density p(x) at X for a Gaussian distribution with standard deviation SIGMA |
| ugaussian(x) | unit Gaussian distribution. They are equivalent to the functions above with a standard deviation of one, SIGMA = 1 |
| gaussian_tail(x,a,sigma) | probability density p(x) at X for a Gaussian tail distribution with standard deviation SIGMA and lower limit A |
| ugaussian_tail(x,a) | tail of a unit Gaussian distribution. They are equivalent to the functions above with a standard deviation of one, SIGMA = 1 |
| bivariate_gaussian(x,y,sigma_x,sigma_y,rho) | probability density p(x,y) at (X,Y) for a bivariate gaussian distribution with standard deviations SIGMA_X, SIGMA_Y and correlation coefficient RHO |
| exponential(x,mu) | probability density p(x) at X for an exponential distribution with mean MU |
| laplace(x,a) | probability density p(x) at X for a Laplace distribution with mean A |
| exppow(x,a,b) | probability density p(x) at X for an exponential power distribution with scale parameter A and exponent B |
| cauchy(x,a) | probability density p(x) at X for a Cauchy distribution with scale parameter A |
| rayleigh(x,sigma) | robability density p(x) at X for a Rayleigh distribution with scale parameter SIGMA |
| rayleigh_tail(x,a,sigma) | probability density p(x) at X for a Rayleigh tail distribution with scale parameter SIGMA and lower limit A |
| landau(x) | probability density p(x) at X for the Landau distribution |
| gamma_pdf(x,a,b) | probability density p(x) at X for a gamma distribution with parameters A and B |
| flat(x,a,b) | probability density p(x) at X for a uniform distribution from A to B |
| lognormal(x,zeta,sigma) | probability density p(x) at X for a lognormal distribution with parameters ZETA and SIGMA |
| chisq(x,nu) | probability density p(x) at X for a chi-squared distribution with NU degrees of freedom |
| fdist(x,nu1,nu2) | probability density p(x) at X for an F-distribution with NU1 and NU2 degrees of freedom |
| tdist(x,nu) | probability density p(x) at X for a t-distribution with NU degrees of freedom |
| beta_pdf(x,a,b) | probability density p(x) at X for a beta distribution with parameters A and B |
| logistic(x,a) | probability density p(x) at X for a logistic distribution with scale parameter A |
| pareto(x,a,b) | probability density p(x) at X for a Pareto distribution with exponent A and scale B |
| weibull(x,a,b) | probability density p(x) at X for a Weibull distribution with scale A and exponent B |
| gumbel1(x,a,b) | probability density p(x) at X for a Type-1 Gumbel distribution with parameters A and B |
| gumbel2(x,a,b) | probability density p(x) at X for a Type-2 Gumbel distribution with parameters A and B |
| poisson(k,mu) | probability p(k) of obtaining K from a Poisson distribution with mean mu |
| bernoulli(k,p) | probability p(k) of obtaining K from a Bernoulli distribution with probability parameter P |
| binomial(k,p,n) | probability p(k) of obtaining K from a binomial distribution with parameters P and N |
| negative_binomial(k,p,n) | probability p(k) of obtaining K from a negative binomial distribution with parameters P and N |
| pascal(k,p,n) | probability p(k) of obtaining K from a Pascal distribution with parameters P and N |
| geometric(k,p) | probability p(k) of obtaining K from a geometric distribution with probability parameter P |
| hypergeometric(k,n1,n2,t) | probability p(k) of obtaining K from a hypergeometric distribution with parameters N1, N2, N3 |
| logarithmic(k,p) | probability p(k) of obtaining K from a logarithmic distribution with probability parameter P |