Results 271 to 280 of about 204,657 (313)

Inference for Sichel's Compound Poisson Distribution

Journal of the American Statistical Association, 1982
Abstract In a long-tailed compound Poisson distribution introduced by Sichel, the probabilities can only readily be calculated if one of the parameters λ has half-integer values, that is, λ = m + 1/2, m integer. The maximum likelihood estimation of this parameter is compared with an approximate method derived from a grid of half-integer values.
A. C. Atkinson, Lam Yeh
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Moments of Compound Mixed Poisson Distributions

Scandinavian Actuarial Journal, 2002
Recursive formulae are derived for the evaluation of the moments and the descending factorial moments about a point n of mixed Poisson and compound mixed Poisson distributions, in the case where th...
Stathis Chadjiconstantinidis, Demetrios L. Antzoulakos   +1 more
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An Estimate of the Compounding Distribution of a Compound Poisson Distribution

Theory of Probability & Its Applications, 1963
The distribution of a random variable X is called a compound Poisson distribution if ${\bf P}\{ X = n\} = \int_0^\infty {\frac{{\lambda ^n }} {{n1}}} \varepsilon ^{ - \lambda } dG(\lambda ),$. where $n = 0,1,2, \cdots $ and $G(\lambda )$ is a distribution function (weight function) such that $G( + 0) = 0$.
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On the compound $\alpha (t)$-modified Poisson distribution

Applicationes Mathematicae, 2016
Summary: In this paper we introduce compound \(\alpha (t)\)-modified Poisson distributions. We obtain the compound Delaporte distribution as the special case of the compound \(\alpha (t)\)-modified Poisson distribution. The characteristics of \(\alpha (t)\)-modified Poisson and some compound distributions with gamma, exponential and Panjer summands are
Steliga, Katarzyna, Szynal, Dominik
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Spatial Event Cluster Detection Using a Compound Poisson Distribution

Biometrics, 2006
Summary Geographic disease surveillance methods identify regions that have higher disease rates than expected. These approaches are generally applied to incident or prevalent cases of disease. In some contexts, disease‐related events rather than individuals are the appropriate units of analysis for geographic surveillance. We propose a compound Poisson
Rhonda J, Rosychuk, Carolyn, Huston, Narasimha G N, Prasad   +2 more
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Inference for compound truncated Poisson log-normal model with application to maximum precipitation data

Communications in statistics. Simulation and computation
The main objective of this paper is to propose a new general family of distributions, namely compound truncated Poisson log-normal distribution of which log-normal distribution is a special case.
M. Meraou, M. Z. Raqab, Debasis Kundu, Fatemah A. Alqallaf   +3 more
semanticscholar   +1 more source

Moment Characteristics of the Compound Poisson Law Generalized by the Poisson Distribution

Computational Mathematics and Modeling, 2004
The authors study a compound Poisson law generalized by a Poisson distribution. For the weighted sum \(\zeta = \zeta_1+2\zeta_2+\cdots +k\zeta_k\) of \(k\) independent Poisson random variables, they consider the conditional random variable \(\xi/\zeta\) following the Poisson distribution with parameter \(\epsilon\zeta ...
Belov, A. G., Galkin, V. Ya.
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A new compounding life distribution: the Weibull–Poisson distribution

Journal of Applied Statistics, 2012
In this paper, a new compounding distribution, named the Weibull–Poisson distribution is introduced. The shape of failure rate function of the new compounding distribution is flexible, it can be decreasing, increasing, upside-down bathtub-shaped or unimodal.
Wanbo Lu, Daimin Shi
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Characterization of the Compound Poisson Distribution [PDF]

, 1979
Consider two non-negative integer-valued r.v.'s X,Y with X=>Y. Suppose that the conditional distribution of Y|X is binomial with parameters (n,p), n=0,1,2,...; 0 0 (Poisson(λp)) if and only if (iff) X is Poisson (λ). This model has been extensively used in the literature under different names in many practical situations.
Xekalaki, Evdokia, Panaretos, John
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On the Accuracy of the Normal Approximation to Compound Poisson Distributions

, 2014
I. Shevtsova
semanticscholar   +1 more source