Poisson distribution
Hello, you have come here looking for the meaning of the word Poisson distribution. In DICTIOUS you will not only get to know all the dictionary meanings for the word Poisson distribution, but we will also tell you about its etymology, its characteristics and you will know how to say Poisson distribution in singular and plural. Everything you need to know about the word Poisson distribution you have here. The definition of the word Poisson distribution will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofPoisson distribution, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Etymology
After French mathematician Siméon Denis Poisson (1781-1840), who introduced the distribution in his 1837 work Recherches sur la probabilité des jugements en matière criminelle et en matière civile ("Research on the Probability of Judgements in Criminal and Civil Matters"), although prior work had been done by Abraham de Moivre.
Noun
Poisson distribution (plural Poisson distributions)
- (statistics) Any of a class of discrete probability distributions that express the probability of a given number of events occurring in a fixed time interval, where the events occur independently and at a constant average rate; describable as a limit case of either binomial or negative binomial distributions.
- 1993, Rolf-Dieter Reiss, A Course on Point Processes, Springer, page 62:
- For the modeling of many phenomena there is a need for enlarging the family of Poisson distributions. One possibility of doing this is the use of mixed Poisson distributions (outlined above).
- 2000, Michael C. Fleming, Joseph G. Nellis, Principles of Applied Statistics: An Integrated Approach Using MINITAB and Excel, 2nd edition, Thomson, page 116:
- It is worth noting, therefore, that unlike the binomial distribution in which we are interested in observing both 'success' and 'failure', the application of the Poisson distribution is concerned only with occurrences rather than non-occurrences.
- 2007, “4: Order Statistics for Decoding of Spike Trains”, in Kenji Doya, Shin Ashii, Alexandre Pouget, Rajesh P. N. Rao, editors, Bayesian Brain: Probabilistic Approaches to Neural Coding, The MIT Press, page 83:
- A mixture of Poisson processes will have a spike count described by a mixture of Poisson distributions. A model allowing a mixture of a few Poisson distributions adds substantial flexibility, while keeping the calculations reasonably simple.
- 2017, William Q. Meeker, Gerald J. Hahn, Luis A. Escobar, Statistical Intervals: A Guide for Practitioners and Researchers, 2nd edition, Wiley, page 128:
- As indicated, problems involving the number of occurrences of independent, randomly occurring events per unit of space or time can often be modeled with the Poisson distribution.
Related terms
Translations
probability distribution
|