In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic. For an arbitrarily...

sampling formula describes the probabilities associated with counts of how many different alleles are observed a given number of times in the sample....

Gibbs sampling or a Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm for sampling from a specified multivariate probability distribution when...

Importance sampling is a Monte Carlo method for evaluating properties of a particular distribution, while only having samples generated from a different...

distribution function associated with the empirical measure of a sample. This cumulative distribution function is a step function that jumps up by 1/n at each...

error, etc.) to sample estimates. This technique allows estimation of the sampling distribution of almost any statistic using random sampling methods. Bootstrapping...

obtaining a sequence of random samples from a probability distribution from which direct sampling is difficult. New samples are added to the sequence in...

distribution, then the sample variance calculated from that infinite set will match the value calculated using the distribution's equation for variance...

number sampling Sample size determination Sampling (case studies) Sampling bias Sampling distribution Sampling error Sortition Survey sampling The textbook...

In statistics, stratified sampling is a method of sampling from a population which can be partitioned into subpopulations. In statistical surveys, when...

intervals. The sampling distribution of a mean is generated by repeated sampling from the same population and recording the sample mean per sample. This forms...

one-dimensional probability distributions. It can be used to test whether a sample came from a given reference probability distribution (one-sample K–S test), or to...

occurrences, sampling using a Pólya urn model (in some sense, the "opposite" of sampling without replacement) Categorical distribution, for a single...

t-distribution important in both theory and practice. The t distribution arises as the sampling distribution of the t statistic. Below the one-sample t statistic...

separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as the “middle"...

the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution, not...

Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov...

to as the "adjusted sample variance" or sometimes simply the "sample variance". Problems of determining a probability distribution from its sequence of...

hypercube sampling (LHS) is a statistical method for generating a near-random sample of parameter values from a multidimensional distribution. The sampling method...

Univariate Distributions, Volume 2. Wiley. ISBN 978-0-471-58494-0. Karney, C. F. F. (2016). "Sampling exactly from the normal distribution". ACM Transactions...

hypothesis tests, as the sample size, n, increases, the sampling distribution of the test statistic approaches the normal distribution (central limit theorem)...

In statistics, cluster sampling is a sampling plan used when mutually homogeneous yet internally heterogeneous groupings are evident in a statistical population...

unimodal distribution (a distribution with a single peak), negative skew commonly indicates that the tail is on the left side of the distribution, and positive...

quantifying kurtosis in theoretical distributions, and corresponding techniques allow estimation based on sample data from a population. It’s important...

repeated sampling. That is, the theorem assumes the random sampling produces a sampling distribution formed from different values of means (or sums) of such...

generalization of the beta distribution. The Ewens's sampling formula is a probability distribution on the set of all partitions of an integer n, arising...

computational statistics, rejection sampling is a basic technique used to generate observations from a distribution. It is also commonly called the acceptance-rejection...

Pharm Sci 74(2) 229-231 Cox DR (1969) Some sampling problems in technology. In: New developments in survey sampling. U.L. Johnson, H Smith eds. New York: Wiley...

{N-1}{2}}\right)}}.} This arises because the sampling distribution of the sample standard deviation follows a (scaled) chi distribution, and the correction factor is...

tests whether a sample is drawn from a given distribution Statistical bootstrap methods: estimates the accuracy/sampling distribution of a statistic Cochran's...