Results 261 to 270 of about 204,657 (313)

4 Compound Poisson distributions

2002
V. Bening, V. Korolev
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Compound mixed Poisson distributions I

Scandinavian Actuarial Journal, 2006
The concept of compound mixed Poisson distributions in actuarial science is used to represent such variables as the total amount of claims or losses payable by an insurer. In this paper, comprehensive collections of approximate forms are derived for the compound mixed Poisson distribution.
Saralees Nadarajah, Samuel Kotz
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The D compound Poisson distribution

Statistical Papers, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, M. L., Fung, K. Y.
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Analysis of skewed data by using compound Poisson exponential distribution with applications to insurance claims

Journal of Statistical Computation and Simulation, 2021
The main aim of this paper is to introduce a new family of distributions, namely compound zero-truncated Poisson exponential distribution of which exponential distribution is a special case.
M. Meraou, N. Al-Kandari, M. Z. Raqab, D. Kundu   +3 more
semanticscholar   +1 more source

Compound Intervened Poisson Distribution

Biometrical Journal, 1998
Summary: The nature and characteristics of Intervened Poisson Distribution (IPD) has been well discussed by \textit{R. Shanmugam} [Biometrics 41, 1025-1029 (1985; Zbl 0615.62020)]. In this paper, Compound Intervened Poisson Distribution (CIPD) is introduced and its properties are studied.
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Compound Hermite and Stuttering Poisson Distributions

Calcutta Statistical Association Bulletin, 1990
In this paper we discuss the compound distribution of Stuttering Poisson distribution when the parameters are assumed to be independent random variables. Compounding of the Hermite distribution, whtch is a special case of the Stuttering Poisson distribution, is briefly discussed.
Patil, S. A., Raghunandanan, K.
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Compound Mixed Poisson Distributions

2009
The topic of the present chapter is recursions for compound mixed Poisson distributions, in particular mixed Poisson distributions. As a simple motivating example, we consider a Gamma mixing distribution. Special attention is given to finite mixtures. We mainly concentrate on the Willmot class of continuous mixing distributions where the derivative of ...
Bjørn Sundt, Raluca Vernic
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Concentration and relative entropy for compound Poisson distributions

Proceedings. International Symposium on Information Theory, 2005. ISIT 2005., 2005
Using a simple inequality about the relative entropy, its so-called "tensorization property," we give a simple proof of a functional inequality which is satisfied by any compound Poisson distribution.
M. Madiman, Ioannis Kontoyiannis
semanticscholar   +1 more source

Compound bivariate Lagrangian Poisson distributions

Insurance: Mathematics and Economics, 1998
It is shown that the bivariate Lagrangian Poisson distribution leads to recursively computable bivariate compound distributions. In particular, a recursive formula for computing the probabilities of the bivariate Lagrangian Poisson distribution is provided and a scheme for computing the probabilities of associated compound distributions is proposed ...
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Compound Mixed Multivariate Poisson Distributions

2009
The purpose of this chapter is to extend the theory of Chap. 3 to a class of compound mixed multivariate Poisson distributions. We first give a presentation of multivariate Poisson distributions. In particular, we emphasise that, whereas such a distribution is multivariate so that when compounding it, it becomes a compound distribution of Type 2, it ...
Bjørn Sundt, Raluca Vernic
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