Results 241 to 250 of about 38,827 (274)

Compound poisson distributions: Properties and estimation*

Communications in Statistics - Theory and Methods, 1992
Multivariate compound Poisson distribution is obtained by m p-independent Poisson distributions with a mixing distribution. marginal, conditional probability mass function and moments of comp Poisson distribution when the mixing parameter has a gamma distribu are obtained.
Dipak K Dey, Younshik Chung
exaly   +2 more sources

Poisson and compound Poisson distributions of order k and some of their properties

Journal of Soviet Mathematics, 1984
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 130, 175-180 (Russian) (1983; Zbl 0529.60010).
exaly   +4 more sources

The D compound Poisson distribution

Statistical Papers, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, M. L., Fung, K. Y.
openaire   +1 more source

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.
openaire   +1 more source

EXPANSIONS FOR MOMENTS OF COMPOUND POISSON DISTRIBUTIONS

Probability in the Engineering and Informational Sciences, 2013
Expansions for moments of $\overline{X}$, the mean of a random sample of size n, are given for both the univariate and multivariate cases. The coefficients of these expansions are simply Bell polynomials. An application is given for the compound Poisson variable SN, where $S_{n} = n \overline{X}$ and N is a Poisson random variable independent of X1, X2,
Nadarajah, S., Withers, C. S., Bakar, S. A. A.   +2 more
openaire   +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.
openaire   +2 more sources

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 smoothing properties of compound Poisson distributions

Lithuanian Mathematical Journal, 1995
The main contributions are estimates of analogs of the uniform Kolmogorov distance and Lévy concentration function of products of terms of the type \((F-E)^k\exp[a(F-E)]\), where products and powers are in the convolution sense, \(F\) is a distribution function and \(E\) is the distribution concentrated at zero.
openaire   +2 more sources

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.
openaire   +2 more sources

On the compound Poisson-gamma distribution

Kybernetika, 2011
Summary: The compound Poisson-gamma variable is the sum of a random sample from a gamma distribution with sample size an independent Poisson random variable. It has received wide ranging applications. We give an account of its mathematical properties including estimation procedures by the methods of moments and maximum likelihood.
Christopher S. Withers, Saralees Nadarajah   +1 more
openaire   +2 more sources