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Everything about Poisson distribution
Discrete probability 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 if these events occur with a known constant mean rate and independently of the time since the last event. It can also be used for the number of events in other types of intervals than time, and in dimension greater than 1 . The Poisson distribution is named after French mathematician Siméon Denis Poisson. It plays an important role for discrete-stable distributions. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Poisson distributionA 5-minute orientation
- Skim a recent paper: The Poisson Binomial Distribution— Old & NewInfluential work since 2022
- Pick up a classic book: Negative Binomial RegressionThe most-reprinted book on the subject
- Read the landmark paper: The Poisson Approximation to the Poisson Binomial DistributionCited 122 times
- Go sideways: Exponential distributionA closely related topic
- Go sideways: Relationships among probability distributionsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
The Poisson Approximation to the Poisson Binomial Distribution
Generalized Poisson–Lindley Distribution
The Truncated Poisson Distribution
On a bivariate poisson distribution
Poisson on the poisson distribution
The Poisson-Lomax Distribution
The Poisson Pascal Distribution
Generalized Poisson Distribution
🆕 Influential since 2022
The Poisson Binomial Distribution— Old & New
On Poisson Moment Exponential Distribution with Applications
The “Poisson” Distribution: History, Reenactments, Adaptations
Poisson XRani Distribution: An Alternative Discrete Distribution for Overdispersed Count Data
Transactional Interpretation and the Generalized Poisson Distribution
📚 Books worth reading
Negative Binomial RegressionJoseph M. Hilbe · 2007
Quality sampling and reliabilityJohn J. Heldt · 1998
Laws of small numbersMichael Falk, Jürg Hüsler · 1994
Seacoast lifeJudith M. Spitsbergen, David S. Lee · 1980
Generalized poisson models and their applications in insurance and financeVladimir E. Bening · 2002- 📕Poisson's exponential binomial limitEdward Charles Molina · 1942
The Poisson-Dirichlet Distribution and Related TopicsShui Feng · 2010- 📕Poisson's exponential binomial limitE. C. Molina · 1942
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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