Results 21 to 30 of about 6,558,196 (374)
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
core +1 more source
An alternative hyper-Poisson distribution
Statistica, 2013 An alternative form of hyper-Poisson distribution is introduced through its probability mass function and studies some of its important aspects such as mean, variance, expressions for its raw moments, factorial moments, probability generating function ...
C. Satheesh Kumar, B. Unnikrishnan Nair
doaj +1 more source
Zhongguo gonggong weisheng, 2022 ObjectiveTo compare differences among the results of utilizing Poisson distribution, quasi-Poisson distribution, and negative binomial distribution in the generalized additive model (GAM) analysis on the association of ambient air ozone (O3) with ...
Zheng-rong GU, Xin-yu WANG, Hui XU
doaj +1 more source
On the Convergence of Poisson Binomial to Poisson Distributions [PDF]
The Annals of Probability, 1974 It is well known that under certain conditions, binomial distributions converge to Poisson distributions. Simons and Johnson (1971) showed that the convergence is actually much stronger than in the usual sense. In this note the author shows that the result of Simons and Johnson is also true for Poisson binomial distributions which include binomial ...
openaire +2 more sources
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.
core +1 more source
The Poisson–Lindley Distribution: Some Characteristics, with Its Application to SPC
Mathematics, 2023 Statistical process control (SPC) is a significant method to monitor processes and ensure quality. Control charts are the most important tools in SPC.
Waleed Ahmed Hassen Al-Nuaami +2 more
doaj +1 more source
The two-parameter Poisson--Dirichlet point process [PDF]
, 2009 The two-parameter Poisson--Dirichlet distribution is a probability distribution on the totality of positive decreasing sequences with sum 1 and hence considered to govern masses of a random discrete distribution.
Handa, Kenji
core +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
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
Generalized Poisson Distribution [PDF]
The Annals of Mathematical Statistics, 1942 Not ...
openaire +2 more sources