Definitions for bernoulli distribution
bernoul·li dis·tri·bu·tion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. binomial distribution, Bernoulli distributionnoun

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

WiktionaryRate this definition:0.0 / 0 votes

1. Bernoulli distributionnoun

   A discrete probability distribution, which takes value 1 with success probability and value 0 with failure probability .

WikipediaRate this definition:0.0 / 0 votes

1. Bernoulli distribution

   In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the value 1 with probability p {\displaystyle p} and the value 0 with probability q = 1 − p {\displaystyle q=1-p} . Less formally, it can be thought of as a model for the set of possible outcomes of any single experiment that asks a yes–no question. Such questions lead to outcomes that are boolean-valued: a single bit whose value is success/yes/true/one with probability p and failure/no/false/zero with probability q. It can be used to represent a (possibly biased) coin toss where 1 and 0 would represent "heads" and "tails", respectively, and p would be the probability of the coin landing on heads (or vice versa where 1 would represent tails and p would be the probability of tails). In particular, unfair coins would have p ≠ 1 / 2. {\displaystyle p\neq 1/2.} The Bernoulli distribution is a special case of the binomial distribution where a single trial is conducted (so n would be 1 for such a binomial distribution). It is also a special case of the two-point distribution, for which the possible outcomes need not be 0 and 1.

ChatGPTRate this definition:0.0 / 0 votes

1. bernoulli distribution

   A Bernoulli Distribution is a discrete probability distribution for a random variable which takes a binary, boolean output: 0 or 1, true or false, success or failure, etc. It is a special case of Binomial Distribution where a single trial is conducted (n=1). Its probability mass function is given by P(X = k) = pk(1-p)1-k for k ∈ {0,1} where p is the probability of success (1) and (1-p) is the probability of failure (0).

WikidataRate this definition:0.0 / 0 votes

1. Bernoulli distribution

   In probability theory and statistics, the Bernoulli distribution, named after Swiss scientist Jacob Bernoulli, is a discrete probability distribution, which takes value 1 with success probability and value 0 with failure probability . So if is a random variable with this distribution, we have: A classical example of a Bernoulli experiment is a single toss of a coin. The coin might come up heads with probability and tails with probability . The experiment is called fair if, indicating the origin of the terminology in betting. The probability mass function of this distribution is This can also be expressed as The expected value of a Bernoulli random variable is, and its variance is Bernoulli distribution is a special case of the Binomial distribution with . The kurtosis goes to infinity for high and low values of, but for the Bernoulli distribution has a lower kurtosis than any other probability distribution, namely −2. The Bernoulli distributions for form an exponential family. The maximum likelihood estimator of based on a random sample is the sample mean.

Matched Categories

1. • Distribution
   • Statistics

How to pronounce bernoulli distribution?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say bernoulli distribution in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of bernoulli distribution in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of bernoulli distribution in Pythagorean Numerology is: 7

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=bernoulli distribution
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Bernoulli_Distribution
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Bernoulli_Distribution
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=bernoulli distribution