Results 251 to 260 of about 38,827 (274)

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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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. This functional inequality belongs to the class of modified logarithmic Sobolev inequalities.
Mokshay Madiman, Ioannis Kontoyiannis
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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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A criterion for the compound poisson distribution to be maximum entropy

2009 IEEE International Symposium on Information Theory, 2009
The Poisson distribution is known to have maximal entropy among all distributions (on the nonnegative integers) within a natural class. Interestingly, straightforward attempts to generalize this result to general compound Poisson distributions fail because the analogous result is not true in general.
Oliver Johnson, Ioannis Kontoyiannis, Mokshay M. Madiman   +2 more
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On moments and cumulants of the D compound Poisson distribution

Statistical Papers, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Mei Ling, Fung, Karen Y.
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Estimation of the Parameters of Compound Intervened Poisson Distribution

Biometrical Journal, 2000
Summary: The Compound Intervened Poisson Distribution (CIPD) has been well discussed by the author in ibid. 40, No. 5, 641-646 (1998; Zbl 0913.62007). In this paper the estimation of the parameters of the CIPD is studied.
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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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Stopped Compound Poisson Process and Related Distributions

2007
This chapter considers the first-crossing problem of a compound Poisson process with positive integer-valued jumps in a nondecreasing lower boundary. The cases where the boundary is a given linear function, a standard renewal process, or an arbitrary deterministic function are successively examined.
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The compound Poisson distribution

ACM SIGAPL APL Quote Quad, 1986
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The Modality of Some Compound Poisson Distributions

Biometrika, 1970
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