Poisson distribution

noun
Pois·​son distribution | \ pwä-ˈsōⁿ- How to pronounce Poisson distribution (audio) \

Definition of Poisson distribution

: a probability density function that is often used as a mathematical model of the number of outcomes obtained in a suitable interval of time and space, that has its mean equal to its variance, that is used as an approximation to the binomial distribution, and that has the form {latex}f(x) = \frac{e^{-\mu}\mu^{x}}{{x!}}{/latex} where μ is the mean and x takes on nonnegative integral values

First Known Use of Poisson distribution

1922, in the meaning defined above

History and Etymology for Poisson distribution

Siméon D. Poisson †1840 French mathematician

Keep scrolling for more

Learn More about Poisson distribution

Time Traveler for Poisson distribution

Time Traveler

The first known use of Poisson distribution was in 1922

See more words from the same year

Statistics for Poisson distribution

Cite this Entry

“Poisson distribution.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Poisson%20distribution. Accessed 27 Feb. 2021.

Style: MLA
MLA Chicago APA Merriam-Webster

Comments on Poisson distribution

What made you want to look up Poisson distribution? Please tell us where you read or heard it (including the quote, if possible).

WORD OF THE DAY

Test Your Vocabulary

February 2021 Words of the Day Quiz

  • squirrel in winter
  • Which is a synonym of perdure?
Name That Thing

Test your visual vocabulary with our 10-question challenge!

TAKE THE QUIZ
Universal Daily Crossword

A daily challenge for crossword fanatics.

TAKE THE QUIZ
Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!