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Everything about Poisson binomial distribution
Probability distribution
In probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials that are not necessarily identically distributed. The concept is named after Siméon Denis Poisson. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Poisson binomial 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: An approximation theorem for the Poisson binomial distributionCited 369 times
- Go sideways: Natural exponential familyA closely related topic
- Go sideways: Compound Poisson distributionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
An approximation theorem for the Poisson binomial distribution
On computing the distribution function for the Poisson binomial distribution
Generalized Poisson Distribution: the Property of Mixture of Poisson and Comparison with Negative Binomial Distribution
The Poisson Approximation to the Poisson Binomial Distribution
Binomial approximation to the Poisson binomial distribution
Binomial Approximation to the Poisson Binomial Distribution: The Krawtchouk Expansion
Asymptotics and Sharp Bounds in the Poisson Approximation to the Poisson-Binomial Distribution
Gambling with ethics? A statistical note on the Poisson (binomial) distribution
🆕 Influential since 2022
The Poisson Binomial Distribution— Old & New
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
Seismic fragility assessment of regional building portfolios using machine learning and Poisson binomial distribution
From the binomial reshuffling model to Poisson distribution of money
A triptych on three continuous analogs of the Poisson, binomial, and negative binomial distributions
📚 Books worth reading
Negative Binomial RegressionJoseph M. Hilbe · 2007- 📕Estimation in the negative binomial distributionA. Clifford Cohen · 1965
Negative binomial regressionJoseph Hilbe · 2011- 📕Poisson distribution · 1982
- 📕Tavole per alcune ipotesi bilaterali riguardanti distribuzioni di Poisson, binomiali, ipergeometriche e per l'indipendenza in una tavola tetracoricaMichele Zenga · 1974
Functional form and heterogeneity in models for count dataWilliam Greene · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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