Overview

sample space


'sample space' can also refer to...

sample space

sample space

sample space

Sample Space

sample space

sample space

Stochastic sampling of the RNA structural alignment space

Bayesian exoplanet tests of a new method for MCMC sampling in highly correlated model parameter spaces

A sampling strategy for high-dimensional spaces applied to free-form gravitational lensing

The 6C** sample of steep-spectrum radio sources – II. Redshift distribution and the space density of high-redshift radio galaxies

Auxiliary mixture sampling for parameter-driven models of time series of counts with applications to state space modelling

Life-Space and Cognitive Decline in a Community-Based Sample of African American and Caucasian Older Adults

Association of Athlete's Foot with Cellulitis of the Lower Extremities: Diagnostic Value of Bacterial Cultures of Ipsilateral Interdigital Space Samples

A large spectroscopic sample of L and T dwarfs from UKIDSS LAS: peculiar objects, binaries, and space density

Near-infrared Hubble Space Telescope polarimetry of a complete sample of narrow-line radio galaxies

The molecular dynamics thermocycler. A new approach to sample conformational space, as exemplified by the RNA hairpin

The Combined NVSS–FIRST Galaxies (CoNFIG) sample – II. Comparison of space densities in the Fanaroff–Riley dichotomy

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in Fourier space

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the Fourier space wedges of the final sample

 

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Quick Reference

A complete set of all possible results or outcomes for an experiment or observational procedure. The concept was introduced by von Mises in 1931. The sample space is usually denoted by S or E.

An event is a particular collection of outcomes, and is a subset of the sample space. For example, when a die is thrown and the score observed, the sample space is {1, 2, 3, 4, 5, 6}, and a possible event is ‘the score is even’ i.e. {2, 4, 6}. If all the possible outcomes are equally likely, then the probability of an event A is given by The word ‘event’ was used in this context by de Moivre in 1718.

The subset of the sample space for the event ‘the score is both even and odd’ is the empty set, usually denoted by ϕ, and P(ϕ) = 0.

The subset of the sample space for the event ‘the score is less than 10’, is the whole sample space, S, and P(S)=1.

See also Boolean algebra; complementary event; intersection; union.

Subjects: Probability and Statistics.


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