Definitions for Poisson distribution
pwɑˈsoʊn, -ˈsɔ̃pois·son dis·tri·bu·tion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. Poisson distributionnoun

   a theoretical distribution that is a good approximation to the binomial distribution when the probability is small and the number of trials is large

WiktionaryRate this definition:0.0 / 0 votes

1. Poisson distributionnoun

   A limit of the binomial distribution for very large numbers of trials and a small probability of success.

2. Etymology: After Siméon Denis Poisson (1781-1840), French mathematician.

WikipediaRate this definition:0.0 / 0 votes

1. Poisson distribution

   In probability theory and statistics, the Poisson distribution (French pronunciation: ​[pwasɔ̃]; in English often rendered ), named after French mathematician Siméon Denis Poisson, is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant rate and independently of the time since the last event. The Poisson distribution can also be used for the number of events in other specified intervals such as distance, area or volume. For instance, an individual keeping track of the amount of mail they receive each day may notice that they receive an average number of 4 letters per day. If receiving any particular piece of mail does not affect the arrival times of future pieces of mail, i.e., if pieces of mail from a wide range of sources arrive independently of one another, then a reasonable assumption is that the number of pieces of mail received in a day obeys a Poisson distribution. Other examples that may follow a Poisson distribution include the number of phone calls received by a call center per hour and the number of decay events per second from a radioactive source.

ChatGPTRate this definition:0.0 / 0 votes

1. poisson distribution

   The Poisson distribution is a probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming these events occur with a known average rate and independently of the time since the last event. The distribution is often used in fields such as physics, finance, and traffic engineering to model random variables representing the number of occurrences of an event in a given time period.

WikidataRate this definition:0.0 / 0 votes

1. Poisson distribution

   In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event. The Poisson distribution can also be used for the number of events in other specified intervals such as distance, area or volume. For instance, suppose someone typically gets 4 pieces of mail per day on average. There will be, however, a certain spread: sometimes a little more, sometimes a little less, once in a while nothing at all. Given only the average rate, for a certain period of observation, and assuming that the process, or mix of processes, that produces the event flow is essentially random, the Poisson distribution specifies how likely it is that the count will be 3, or 5, or 10, or any other number, during one period of observation. That is, it predicts the degree of spread around a known average rate of occurrence. The Derivation of the Poisson distribution section shows the relation with a formal definition.

U.S. National Library of MedicineRate this definition:0.0 / 0 votes

1. Poisson Distribution

   A distribution function used to describe the occurrence of rare events or to describe the sampling distribution of isolated counts in a continuum of time or space.

Matched Categories

1. • Distribution
   • Statistics

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How to say Poisson distribution in sign language?

Numerology

1. Chaldean Numerology

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

2. Pythagorean Numerology

   The numerical value of Poisson distribution in Pythagorean Numerology is: 6

References

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