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The Complementary Exponentiated Lomax-Poisson Distribution with Applications to Bladder Cancer and Failure Data

open access: yesAustrian Journal of Statistics, 2021
A new continuous four-parameter lifetime distribution is introduced by compounding the distribution of the maximum of a sequence of an independently identically exponentiated Lomax distributed random variables and zero truncated Poisson random variable ...
Devendra Kumar   +3 more
doaj   +1 more source

Compound Poisson Approximations for Sums of Random Variables [PDF]

open access: yesThe Annals of Probability, 1985
We show that a sum of dependent random elements taking values in a semigroup is approximately compound Poisson when the elements are rarely nonzero and, given they are nonzero, their conditional distributions are nearly identical. We give several upper bounds on the total-variation distance between the distribution of such a sum and a compound Poisson ...
openaire   +3 more sources

A geoadditive Bayesian latent variable model for Poisson indicators [PDF]

open access: yes, 2006
We introduce a new latent variable model with count variable indicators, where usual linear parametric effects of covariates, nonparametric effects of continuous covariates and spatial effects on the continuous latent variables are modelled through a ...
Fahrmeir, Ludwig, Steinert, Sven
core   +1 more source

Lattice permutations and Poisson-Dirichlet distribution of cycle lengths [PDF]

open access: yes, 2012
We study random spatial permutations on ℤ3 where each jump x↦π(x) is penalized by a factor e−T∥x−π(x)∥2 . The system is known to exhibit a phase transition for low enough T where macroscopic cycles appear.
Daniel Ueltschi   +6 more
core   +1 more source

Umbral nature of the Poisson random variables [PDF]

open access: yes, 2001
23 ...
DI NARDO, Elvira, D. SENATO PULLANO
openaire   +3 more sources

Exponential families of mixed Poisson distributions [PDF]

open access: yes, 2006
If I=(I1,…,Id) is a random variable on [0,∞)d with distribution μ(dλ1,…,dλd), the mixed Poisson distribution MP(μ) on View the MathML source is the distribution of (N1(I1),…,Nd(Id)) where N1,…,Nd are ordinary independent Poisson processes which are also ...
Letac, G.   +8 more
core   +1 more source

Some estimates of the normal approximation for mixture of Poisson and gamma random variables

open access: yesLietuvos Matematikos Rinkinys, 2010
In the paper, we present the upper bound of Lp norms ∆p of the order (a1 + a2)/(DZ)-1/2 for all 1 0, and the random variable Y by the standard gamma distribution Γ (α, 0, 1) with the parameter α > 0.
Jonas Kazys Sunklodas
doaj   +1 more source

Some Inequalities for the Expectation and Variance of a Random Variable whose PDF is n-Time Differentiable [PDF]

open access: yes, 2000
Some inequalities for the expectation and variance of a random variable whose p.d.f.
Roumeliotis, John   +3 more
core   +5 more sources

A refinement of normal approximation to Poisson binomial

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Let X1,X2,…,Xn be independent Bernoulli random variables with P(Xj=1)=1−P(Xj=0)=pj and let Sn:=X1+X2+⋯+Xn. Sn is called a Poisson binomial random variable and it is well known that the distribution of a Poisson binomial random variable can be ...
K. Neammanee
doaj   +1 more source

Extended target Poisson multi-Bernoulli mixture trackers based on sets of trajectories [PDF]

open access: yesFusion, 2019
The Poisson multi-Bernoulli mixture (PMBM) is a multi-target distribution for which the prediction and update are closed. By applying the random finite set (RFS) framework to multi-target tracking with sets of trajectories as the variable of interest ...
Yuxuan Xia   +4 more
semanticscholar   +1 more source

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