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单词 binomial distribution
释义

binomial distribution


binomial distribution

n. The frequency distribution of the probability of a specified number of successes in an arbitrary number of repeated independent Bernoulli trials. Also called Bernoulli distribution.

binomial distribution

n (Statistics) a statistical distribution giving the probability of obtaining a specified number of successes in a specified number of independent trials of an experiment with a constant probability of success in each. Symbol: Bi (n, p), where n is the number of trials and p the probability of success in each

bino′mial distribu′tion


n. a statistical distribution giving the probability of obtaining a specified number of successes in a finite set of independent trials in which the probability of a success remains the same from trial to trial. [1910–15]
Thesaurus
Noun1.binomial distribution - a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of successBernoulli distributiondistribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrencestatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters

binomial distribution


binomial distribution

[bī′nō·mē·əl ‚dis·trə′byü·shən] (statistics) The distribution of a binomial random variable; the distribution (n,p) is given by P (B = r) = (nr) prqn-r, p + q = 1. Also known as Bernoulli distribution.

binomial distribution


bi·no·mi·al dis·tri·bu·tion

1. a probability distribution associated with two mutually exclusive outcomes, for example, presence or absence of a clinical sign. 2. the possible array of the number of successes in the outcomes from a fixed number, n, of independent Bernoulli trials; the probabilities associated with each constitute a binomial process of order n.

binomial distribution

The outcomes of a binomial experiment with their corresponding discrete probability distribution.

Ber·noul·li dis·tri·bu·tion

(ber-nū'lē dis'tri-byū'shŭn) Probability distribution that describes likelihood of various combinations of two alternate outcomes in a series of independent trials.
Synonym(s): binomial distribution.
[Jakob Bernoulli, 1654-1705, Swiss mathematician]
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Binomial Distribution


Binomial Distribution

The distribution of successes and failures of a certain number of Bernoulli trials. A Bernoulli trial is a test in which there are precisely two random outcomes: success and failure. For example, if one is testing whether flipping a coin will result in heads, the two outcomes are yes (success) or no (failure). A binomial distribution, then, would be the number of heads compared to the number of tails in a given number of flips. It is also called a Bernoulli distribution.
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binomial distribution


Related to binomial distribution: Poisson distribution, normal distribution
  • noun

Synonyms for binomial distribution

noun a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success

Synonyms

  • Bernoulli distribution

Related Words

  • distribution
  • statistical distribution
  • statistics
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更新时间:2024/12/22 23:17:09