Results 1 to 10 of about 6,511,171 (131)
Incidence of autoimmune pulmonary alveolar proteinosis estimated using Poisson distribution. [PDF]
ERJ Open Res, 2019 The incidence and prevalence of autoimmune pulmonary alveolar proteinosis in Japan were previously estimated to be 0.49 and 6.2 per million, respectively.
Kitamura N +7 more
europepmc +2 more sources
A Review of Multivariate Distributions for Count Data Derived from the Poisson Distribution. [PDF]
Wiley Interdiscip Rev Comput Stat, 2017 The Poisson distribution has been widely studied and used for modeling univariate count‐valued data. However, multivariate generalizations of the Poisson distribution that permit dependencies have been far less popular. Yet, real‐world, high‐dimensional,
Inouye D, Yang E, Allen G, Ravikumar P.
europepmc +3 more sources
Definitions, 2020 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.
E. Mossel, Yelena Shvets
semanticscholar +3 more sources
The Conway–Maxwell–Poisson Distribution
, 2023 While the Poisson distribution is a classical statistical model for count data, the distributional model hinges on the constraining property that its mean equal its variance.
Kimberly F. Sellers
semanticscholar +1 more source
The Properties and Application of Poisson Distribution
Journal of Physics: Conference Series, 2020 Poisson distribution is not only a very important distribution in probability theory, but also a useful tool to study the random events. Firstly, this paper gives a simple introduction of Poisson distribution and some characteristics of the Poisson ...
Jing Zhao +5 more
semanticscholar +1 more source
Using Poisson processes to model lattice cellular networks [PDF]
, 2013 An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base stations, which
Blaszczyszyn, Bartlomiej +2 more
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On the Lukacs property for free random variables [PDF]
, 2014 The Lukacs property of the free Poisson distribution is studied here. We prove that if free $\X$ and $\Y$ are free Poisson distributed with suitable parameters, then $\X+\Y$ and $\left(\X+\Y\right)^{-\frac{1}{2}}\X\left(\X+\Y\right)^{-\frac{1}{2}}$ are ...
Szpojankowski, Kamil
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Statistics of weighted Poisson events and its applications [PDF]
, 2013 The statistics of the sum of random weights where the number of weights is Poisson distributed has important applications in nuclear physics, particle physics and astrophysics.
Bohm, G., Zech, G.
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Bayesian inference, model selection and likelihood estimation using fast rejection sampling: the Conway-Maxwell-Poisson distribution [PDF]
, 2017 Bayesian inference for models with intractable likelihood functions represents a challenging suite of problems in modern statistics. In this work we analyse the Conway-Maxwell-Poisson (COM-Poisson) distribution, a two parameter generalisation of the ...
Alan Benson, N. Friel
semanticscholar +1 more source
The Poisson distribution, abstract fractional difference equations, and stability
, 2017 We study the initial value problem (∗) { C∆ u(n) = Au(n+ 1), n ∈ N0; u(0) = u0 ∈ X. when A is a closed linear operator with domain D(A) defined on a Banach space X. We introduce a method based on the Poisson distribution to show existence and qualitative
C. Lizama
semanticscholar +1 more source