Statistical Distributions
Continuous Distributions
compute properties of a continuous distribution
beta distribution
specify parameters for a distribution
normal distribution, mean=0, sd=2
hyperbolic distribution shape=1 skewness=0 scale=1 location=0
compute a particular property
characteristic function of an exponential distribution
standard deviation of Student t, 17 degrees of freedom
moyal distribution mu=2.3 sigma=12 skewness
compute a moment of a distribution
2nd moment F distribution n=12 m=8
compute a central moment
5th central moment of chi-square dist
compute a cumulant
Rayleigh dist, 4th cumulant
Discrete Distributions
compute properties of a discrete distribution
Poisson distribution
specify parameters for a distribution
binomial distribution n=40, p=0.32
compute a particular property
mean Zipf distribution, rho=2
survival function pascal distribution
compute a moment of a distribution
3rd moment Benford dist b=8
compute the expected value of a random variable
X~Poisson(7.3), EV[3X^4-7]
compute the probability of an event