Only a few characterizations have been obtained in literatute for the negative binomial distribution (see Johnson et al., Chap. 5, 1992). In this article a characterization of the negative binomial distribution related to random sums is obtained which is motivated by the geometric distribution characterization given by Khalil et al. (1991). An interpretation in terms of an unreliable system is given
Two interesting results encountered in the literature concerning the Poisson and the negative binomi...
The negative binomial distribution (NBD) and negative binomial processes have been used as natural m...
This study discusses the convolution or the sum of independent and identical random variables, where...
It is shown that the negative binomial distribution NB(r,p) may arise out of an identical but depend...
AbstractNegative binomial point processes are defined for which all finite-dimensional distributions...
The geometric distribution leads to a Lévy process parameterized by the probability of success. The ...
Two interesting results encountered in the literature concerning the Poisson and the negative binomi...
AbstractNegative binomial point processes are defined for which all finite-dimensional distributions...
A combined negative binomial integer-valued autoregressive process of order $p$ is defined. Correlat...
Two interesting results encountered in the literature concerning the Poisson and the negative binomi...
We study the convolution of compound negative binomial distributions with arbitrary parameters. The ...
It is shown that the distributions on Z+ that can be approximated by mixtures of negative binomial d...
It is shown that the distributions on Z+ that can be approximated by mixtures of negative binomial d...
In this note we are concerned with the sums S=Y1+Y2+...+Yn, where every constituent follows the nega...
We study inference and diagnostics for count time series regression models that include a feedback m...
Two interesting results encountered in the literature concerning the Poisson and the negative binomi...
The negative binomial distribution (NBD) and negative binomial processes have been used as natural m...
This study discusses the convolution or the sum of independent and identical random variables, where...
It is shown that the negative binomial distribution NB(r,p) may arise out of an identical but depend...
AbstractNegative binomial point processes are defined for which all finite-dimensional distributions...
The geometric distribution leads to a Lévy process parameterized by the probability of success. The ...
Two interesting results encountered in the literature concerning the Poisson and the negative binomi...
AbstractNegative binomial point processes are defined for which all finite-dimensional distributions...
A combined negative binomial integer-valued autoregressive process of order $p$ is defined. Correlat...
Two interesting results encountered in the literature concerning the Poisson and the negative binomi...
We study the convolution of compound negative binomial distributions with arbitrary parameters. The ...
It is shown that the distributions on Z+ that can be approximated by mixtures of negative binomial d...
It is shown that the distributions on Z+ that can be approximated by mixtures of negative binomial d...
In this note we are concerned with the sums S=Y1+Y2+...+Yn, where every constituent follows the nega...
We study inference and diagnostics for count time series regression models that include a feedback m...
Two interesting results encountered in the literature concerning the Poisson and the negative binomi...
The negative binomial distribution (NBD) and negative binomial processes have been used as natural m...
This study discusses the convolution or the sum of independent and identical random variables, where...