Bernoulli trial

n. Statistics

An experiment having only two possible outcomes, usually denoted success and failure, with the properties that the probability of occurrence of each outcome is the same in each trial and the occurrence of one excludes the occurrence of the other in any given trial.

[After Jakob Bernoulli.]

Bernoulli trial

(Mathematics & Measurements / Statistics) Statistics one of a sequence of independent experiments each of which has the same probability of success, such as successive throws of a die, the outcome of which is described by a binomial distribution See also binomial experiment

[named after Jacques Bernoulli (1654-1705), Swiss mathematician]

Bernoulli trial

A random event in which one of two possible outcomes can occur (usually denoted success or failure), with the properties that the probability of each outcome is the same in each trial and that the outcome of each trial is independent of the outcomes of the other trials. If the probability of success is p, the probability of failure is 1 - p. The flip of a coin is a Bernoulli trial (where the probability of both success and failure is 0.5), as is the roll of a die (where success might be arbitrarily defined as rolling a six and failure as rolling any other number, with the probability of success being 0.167 and the probability of failure 0.833).

Mentioned in	?		References in periodicals archive	?		Dictionary browser	?		Full browser	?
binomial distribution binomial experiment geometric distribution	Specific topics described include injectivity of the Dubins-Freedman construction of random distributions, almost sure convergence of weighted sums of independent random variables, aperiodic order via dynamical systems, laws of iterated logarithm for weighted sums of iid random variables, and homeomorphic Bernoulli trial measures and ergodic theory. Ergodic theory by SciTech Book News This is your guide to Bayesian analysis, bell curves, Bernoulli trials, to hot and cold streaks, to conditional probability and to those shared illusions that warp our perception of data. Win some, lose some by guardian.co.uk / guardian.co.uk This probability corresponds to the binomial probability that N - 1 Bernoulli trials result in K - 1 successes when the probability of a success is equal to C, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] To close the model, I need to provide an expression for the critical threshold. Why did the East Germans rebel? by Lohmann, Susanne / Independent Review	Bernard Hinault Bernard Law Montgomery Bernard Malamud Bernard Mannes Baruch Bernard of Clairvaux Bernardine Bernardo Bertolucci Bernd Heinrich Wilhelm von Kleist Berne Berners-Lee Bernese Bernese Alps Bernese mountain dog Bernhard Riemann Bernhardt Bernicia Bernicle bernicle goose Bernina Bernina Alps Bernina Pass Bernini Bernoulli Bernoulli distribution Bernoulli effect Bernoulli trial Bernoulli's law Bernoulli's principle Bernouse Bernstein Berob Beroe Berra berretta berried berrigan Berry berry fern berrying berrylike Berryman bersagliere berseem berserk berserker Berstle Berteroa Berteroa incana berth Berth deck bertha	Bernoulli differential equation Bernoulli Disk Drive Bernoulli distribution Bernoulli distribution Bernoulli distribution Bernoulli effect Bernoulli effect Bernoulli effect Bernoulli equation Bernoulli experiments Bernoulli family Bernoulli law Bernoulli Modulated Markov Process Bernoulli number Bernoulli numbers Bernoulli polynomial Bernoulli polynomials Bernoulli principal Bernoulli principal Bernoulli principal Bernoulli Principle Bernoulli Principle Bernoulli Principle Bernoulli random variable Bernoulli random variable Bernoulli Society for Mathematical Statistics and Probability Bernoulli Solutions and Systems Network Bernoulli theorem Bernoulli theorem Bernoulli theorem Bernoulli trial Bernoulli trials Bernoulli trials Bernoulli trials Bernoulli's differential equation Bernoulli's equation Bernoulli's equation Bernoulli's equation Bernoulli's law Bernoulli's law Bernoulli's law Bernoulli's law Bernoulli's lemniscate Bernoulli's principle Bernoulli's principle Bernoulli's principle Bernoulli's Scheme Bernoulli's theorem Bernoulli's theorem Bernoulli's theorem Bernoulli, Daniel Bernoulli, Jakob Bernoulli, Johann Bernoulli-Euler law Bernouse Berns Berns Bernsen's International Press Service Bernshtam, Aleksandr Bernshtam, Aleksandr Natanovich Bernshtein, Nikolai

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binomial distribution
binomial experiment
geometric distribution

Specific topics described include injectivity of the Dubins-Freedman construction of random distributions, almost sure convergence of weighted sums of independent random variables, aperiodic order via dynamical systems, laws of iterated logarithm for weighted sums of iid random variables, and homeomorphic Bernoulli trial measures and ergodic theory.

Ergodic theory by SciTech Book News

This is your guide to Bayesian analysis, bell curves, Bernoulli trials, to hot and cold streaks, to conditional probability and to those shared illusions that warp our perception of data.

Win some, lose some by guardian.co.uk / guardian.co.uk

This probability corresponds to the binomial probability that N - 1 Bernoulli trials result in K - 1 successes when the probability of a success is equal to C, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] To close the model, I need to provide an expression for the critical threshold.

Why did the East Germans rebel? by Lohmann, Susanne / Independent Review

Bernoulli differential equation
Bernoulli Disk Drive
Bernoulli distribution
Bernoulli distribution
Bernoulli distribution
Bernoulli effect
Bernoulli effect
Bernoulli effect
Bernoulli equation
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Bernoulli family
Bernoulli law
Bernoulli Modulated Markov Process
Bernoulli number
Bernoulli numbers
Bernoulli polynomial
Bernoulli polynomials
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Bernoulli principal
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Bernoulli Principle
Bernoulli Principle
Bernoulli Principle
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Bernoulli random variable
Bernoulli Society for Mathematical Statistics and Probability
Bernoulli Solutions and Systems Network
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Bernoulli theorem
Bernoulli theorem

Bernoulli trial

Bernoulli trials
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Bernoulli trials
Bernoulli's differential equation
Bernoulli's equation
Bernoulli's equation
Bernoulli's equation
Bernoulli's law
Bernoulli's law
Bernoulli's law
Bernoulli's law
Bernoulli's lemniscate
Bernoulli's principle
Bernoulli's principle
Bernoulli's principle
Bernoulli's Scheme
Bernoulli's theorem
Bernoulli's theorem
Bernoulli's theorem
Bernoulli, Daniel
Bernoulli, Jakob
Bernoulli, Johann
Bernoulli-Euler law
Bernouse
Berns
Berns
Bernsen's International Press Service
Bernshtam, Aleksandr
Bernshtam, Aleksandr Natanovich
Bernshtein, Nikolai