A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which...

there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence in distribution...

many different random values. Probability distributions can be defined in different ways and for discrete or for continuous variables. Distributions with...

and statistics, a collection of random variables is independent and identically distributed if each random variable has the same probability distribution...

The algebra of random variables in statistics, provides rules for the symbolic manipulation of random variables, while avoiding delving too deeply into...

probability, and statistics, a multivariate random variable or random vector is a list or vector of mathematical variables each of whose value is unknown, either...

calculation of the sum of normally distributed random variables is an instance of the arithmetic of random variables. This is not to be confused with the sum...

complex random variables are a generalization of real-valued random variables to complex numbers, i.e. the possible values a complex random variable may take...

mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the value 1 with probability p {\displaystyle p} and the...

parameter. The distribution is supported on the interval [0, ∞). If a random variable X has this distribution, we write X ~ Exp(λ). The exponential distribution...