fisher's noncentral hypergeometric distribution is a description of how probabilities are distributed over the values of a random variable.
fisher's noncentral hypergeometric distribution is a description of how probabilities are distributed over the values of a random variable.
is a description of how probabilities are distributed over the values of a random variable?
fisher's noncentral hypergeometric distribution
bullet::::- if "x" is a student’s t random variable with "ν" degree of freedom, then "x" is an f (1,"ν") random variable.









































bullet::::- if "x" is a double exponential random variable with mean 0 and scale "λ", then |"x"| is an exponential random variable with mean "λ".









































bullet::::- a geometric random variable is the floor of an exponential random variable.









































bullet::::- a rectangular random variable is the floor of a uniform random variable.









































bullet::::- a reciprocal random variable is the exponential of a uniform random variable.









































section::::functions of several variables.









































section::::functions of several variables.:sum of variables.
relationships among probability distributions
consider a random variable that may take only the three complex values formula_7 with probabilities as specified in the table. this is a simple example of a complex random variable.









































the expectation of this random variable may be simply calculated:









































formula_8









































section::::examples.:uniform distribution.









































another example of a complex random variable is the uniform distribution over the filled unit circle, i.e. the set formula_9. this random variable is an example of a complex random variable for which the probability density function is defined. the density function is shown as the yellow disk and dark blue base in the following figure.
complex random variable