Random variable

and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is described informally as a variable whose values depend

and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is described informally as a variable whose values depend

Convergence of random variables

notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in

notions of convergence of random variables. The convergence of sequences of random variables to some limit random variable is an important concept in

Multivariate random variable

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

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

Algebra of random variables

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

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

Complex random variable

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

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

Independent and identically distributed random variables

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

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

Exchangeable random variables

In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X1, X2, X3, ... (which may be finitely or infinitely

In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X1, X2, X3, ... (which may be finitely or infinitely

Probability distribution

a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space). For instance, if the random variable X

a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space). For instance, if the random variable X

Bernoulli distribution

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

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

Sum of normally distributed random variables

calculation of the sum of normally distributed random variables is an instance of the arithmetic of random variables, which can be quite complex based on the

calculation of the sum of normally distributed random variables is an instance of the arithmetic of random variables, which can be quite complex based on the