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July 2020

Random variable
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
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
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
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
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
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
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
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
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