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...

The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms...

random forests, in particular: Using out-of-bag error as an estimate of the generalization error. Measuring variable importance through permutation....

statistics, resampling is the creation of new samples based on one observed sample. Resampling methods are: Permutation tests (also re-randomization tests)...

A permutation test (also called re-randomization test or shuffle test) is an exact statistical hypothesis test. A permutation test involves two or more...

mathematical permutations. Alternating permutation Circular shift Cyclic permutation Derangement Even and odd permutations—see Parity of a permutation Josephus...

element Random field Random function Random graph Random matrix Random measure Random multinomial logit Random naive Bayes Random permutation statistics Random...

variability than the arithmetic mean of a simple random sample of the population. In computational statistics, stratified sampling is a method of variance...

probability theory and statistics, a collection of random variables is independent and identically distributed (i.i.d., iid, or IID) if each random variable has...

the mathematics of permutations and the study of shuffling playing cards, a riffle shuffle permutation is one of the permutations of a set of n {\displaystyle...

drawers independently at random. Prisoner's dilemma Three prisoners problem Unexpected hanging paradox Random permutation statistics Golomb–Dickman constant...

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

statistics Ratio estimator Replication (statistics) Random-sampling mechanism Resampling (statistics) Pseudo-random number sampling Sample size determination...

each of its faces. Less simply, a random permutation is a permutation generated uniformly randomly from the permutations of a given set and a uniform spanning...

(univariate) normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination...

(xi, yi), randomly redefine the pairs to create a new data set (xi, yi′), where the i′ are a permutation of the set {1,...,n}. The permutation i′ is selected...

conclusions from research: Missing completely at random, missing at random, and missing not at random. Missing data can be handled similarly as censored...

into no more than m parts. This is proved in the article on random permutation statistics, although the notation is a bit different. The Stirling numbers...

are used to describe / model the dependence (inter-correlation) between random variables. Their name, introduced by applied mathematician Abe Sklar in...

Dickman, is a mathematical constant, which arises in the theory of random permutations and in number theory. Its value is λ = 0.62432998854355087099293638310083724...

theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable...

"Bootstrap methods and permutation tests" (PDF). In David S. Moore, George McCabe (eds.). Introduction to the Practice of Statistics. software. Archived...

exchangeable sequence of random variables is a finite or infinite sequence X1, X2, X3, ... of random variables such that for any finite permutation σ of the indices...

statistics use formal definitions of randomness, typically assuming that there is some 'objective' probability distribution. In statistics, a random variable...

Concentration inequality Convergence of random variables Computational statistics Markov chain Monte Carlo Bootstrapping (statistics) Jackknife resampling Integrated...

sample quantiles. When using probability theory to analyze order statistics of random samples from a continuous distribution, the cumulative distribution...

their restrictions to specific degrees are used to compute random permutation statistics. There are two useful restrictions of this operator, namely...

the matrices are subjected to random permutations many times, with the correlation being recalculated after each permutation. The significance of the observed...

between approximate randomization and permutation tests. An approximate randomization test is based on a specified subset of all permutations (which entails...

In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable. The standard deviation...