identically distributed random variables in statistical models. Exchangeable sequences of random variables arise in cases of simple random sampling. Formally...

i.i.d. variables are exchangeable random variables, introduced by Bruno de Finetti.[citation needed] Exchangeability means that while variables may not...

the variables of the exchangeable sequence are not themselves independent, only exchangeable, there is an underlying family of i.i.d. random variables. That...

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

Disintegration theorem Bayes' theorem de Finetti's theorem Exchangeable random variables Rule of succession Conditional independence Conditional event...

random variables having two other known distributions. Given two statistically independent random variables X and Y, the distribution of the random variable...

Ho Lee (1998). "A Note on the Weak Law of Large Numbers for Exchangeable Random Variables" (PDF). Communications of the Korean Mathematical Society. 13...

Look up exchangeable in Wiktionary, the free dictionary. Exchangeable may refer to: Exchangeable batteries, used with battery swapping in charging stations...

Convergence of random variables / (LS:R) Doob's martingale convergence theorems / (SU:R) Ergodic theory / (S:R) Exchangeable random variables / (S:BR) Hewitt–Savage...

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

example: If X 1 , … , X n {\displaystyle X_{1},\dots ,X_{n}} are exchangeable random variables, then the function E ∏ j = 1 n X j a j {\displaystyle {\text{E}}\prod...

fully formal statement is as below: Does there exist an exchangeable sequence of random variables X 1 , . . . , X n {\displaystyle X_{1},...,X_{n}} , such...

A random permutation is a sequence where any order of its items is equally likely at random, that is, it is a permutation-valued random variable of a set...

are involved, such as Binomial random variables, associated with binary response variables; Poisson random variables, associated with rare events; Thermal...

functions – Functions such that f(–x) equals f(x) or –f(x) Exchangeable random variables – Concept in statistics Quasisymmetric function Ring of symmetric...

a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables in a probability space, where the...

over a subset of multivariate normal random variables, one only needs to drop the irrelevant variables (the variables that one wants to marginalize out)...

statistical realization of the multiplicative product of many independent random variables, each of which is positive. This is justified by considering the central...

an exchangeable event or symmetric event, and the sigma-algebra of invariant events is often called the exchangeable sigma-algebra. A random variable on...

arXiv:math/0612838, Bibcode:2006math.....12838I Austin, Tim (2008), "On exchangeable random variables and the statistics of large graphs and hypergraphs", Probability...

and 30s. Importance: Emphasizes exchangeable random variables which are often mixtures of independent random variables. Argues for finitely additive probability...

statistics Exact test Examples of Markov chains Excess risk Exchange paradox Exchangeable random variables Expander walk sampling Expectation–maximization algorithm...

mean of a random variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take on...

statistics, a Gaussian random field (GRF) is a random field involving Gaussian probability density functions of the variables. A one-dimensional GRF is...

the mutual information (MI) of two random variables is a measure of the mutual dependence between the two variables. More specifically, it quantifies the...

Daffer, P.Z.; Patterson, R.F. (1985). Limit theorems for sums of exchangeable random variables. New Jersey: Rowman and Allanheld. von Mises, R. (1947). "On...

is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may...

dependent random variables with a specific distribution D {\displaystyle D} . Because most of the theorems about bounds in sum of random variables are concerned...

statistical analysis. Developed the representation theorem for exchangeable random variables showing that they are the basis of the IID model in statistics...

inequality gives an upper bound on the probability that a non-negative random variable is greater than or equal to some positive constant. Markov's inequality...