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The two-parameter Poisson--Dirichlet point process [PDF]
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
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An asymptotic expansion for the normalizing constant of the Conway–Maxwell–Poisson distribution [PDF]
The Conway–Maxwell–Poisson distribution is a two-parameter generalization of the Poisson distribution that can be used to model data that are under- or over-dispersed relative to the Poisson distribution.
Robert E. Gaunt+3 more
semanticscholar +1 more source
Generalized Linear Models in Vehicle Insurance
Actuaries in insurance companies try to find the best model for an estimation of insurance premium. It depends on many risk factors, e.g. the car characteristics and the profile of the driver.
Silvie Kafková, Lenka Křivánková
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Bayesian Approaches for Poisson Distribution Parameter Estimation
The Bayesian approach, a non-classical estimation technique, is very widely used in statistical inference for real world situations. The parameter is considered to be a random variable, and knowledge of the prior distribution is used to update the ...
Yadpirun Supharakonsakun
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A Berry-Esseen theorem for Pitman's $\alpha$-diversity
This paper is concerned with the study of the random variable $K_n$ denoting the number of distinct elements in a random sample $(X_1, \dots, X_n)$ of exchangeable random variables driven by the two parameter Poisson-Dirichlet distribution, $PD(\alpha ...
Dolera, Emanuele, Favaro, Stefano
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Counting processes with Bern\v{s}tein intertimes and random jumps [PDF]
We consider here point processes $N^f(t)$, $t>0$, with independent increments and integer-valued jumps whose distribution is expressed in terms of Bern\v{s}tein functions $f$ with L\'evy measure $\nu$.
Orsingher, Enzo, Toaldo, Bruno
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On the Convergence of Poisson Binomial to Poisson Distributions [PDF]
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
Exponential families of mixed Poisson distributions [PDF]
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 ...
A. Ferrari+11 more
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Poisson convergence on the free Poisson algebra
Based on recent findings by Bourguin and Peccati, we give a fourth moment type condition for an element of a free Poisson chaos of arbitrary order to converge to a free (centered) Poisson distribution.
Bourguin, Solesne
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INVESTIGATING POPULATION BALANCE IN THE STATE OF GEORGIA USING SPATIAL CLUSTERING [PDF]
Identification of population ratio disruption in the population structure is one of the challenges that every country faces. Population aging is a kind of demographic abnormality that lack of attention causes population problems.
Ali Abolhassani, Somayyeh Tari
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