Add to ORKGAbstract. The distribution of the difference between two independent Poisson random variables involves the modified Bessel function of the first kind. Using properties of this function, maximum likelihood estimates of the parameters of the Poisson difference were derived. Asymptotic distribution property of the maximum likelihood estimates is discussed. Maximum likelihood estimates were compared with the moment estimates in a Monte Carlo study. Hypothesis test-ing using likelihood ratio tests was considered. Some new formulas concerning the modified Bessel function of the first kind were provided. Alternative formu-las for the probability mass function of the Poisson difference (PD) distribution are introduced. Finally, two new applications...
In this thesis, weighted Poisson distributions and processes are investigated, as alternatives to Po...
The present paper provides exact expressions for the probability distributions of linear functionals...
In this paper we propose the probability mass function of the discrete Poisson-Odoma distribution. T...
The distribution of the difference between two independent Poisson random variables involves the mod...
The distribution of the difference between two independent Poisson random variables involves the mod...
This work is devoted to simultaneously estimating the parameters of the distributions of several ind...
The statistical inference drawn from the difference between two independent Poisson parameters is of...
Note: Missing Page 118.In 1837 a paper by Poisson [61] was published in France, establishing the Poi...
Abstract: A new method is proposed for testing the mixed Poisson model which employs the well known ...
The Poisson distribution is a distribution commonly used in statistics. It also plays a central role...
This paper considers the problem of estimating the mean of a Poisson distribution when there are err...
<p>A new distribution (the v-Poisson) and its conjugate density are introduced and explored using co...
During the past three decades or so there has been much work done concerning contagious probability ...
MSc (Mathematical Statistics), North-West University, Potchefstroom CampusThe aim of our study is to...
Motivated by a Bayesian inference problem, a modification of the Bessel function distribution is int...
In this thesis, weighted Poisson distributions and processes are investigated, as alternatives to Po...
The present paper provides exact expressions for the probability distributions of linear functionals...
In this paper we propose the probability mass function of the discrete Poisson-Odoma distribution. T...
The distribution of the difference between two independent Poisson random variables involves the mod...
The distribution of the difference between two independent Poisson random variables involves the mod...
This work is devoted to simultaneously estimating the parameters of the distributions of several ind...
The statistical inference drawn from the difference between two independent Poisson parameters is of...
Note: Missing Page 118.In 1837 a paper by Poisson [61] was published in France, establishing the Poi...
Abstract: A new method is proposed for testing the mixed Poisson model which employs the well known ...
The Poisson distribution is a distribution commonly used in statistics. It also plays a central role...
This paper considers the problem of estimating the mean of a Poisson distribution when there are err...
<p>A new distribution (the v-Poisson) and its conjugate density are introduced and explored using co...
During the past three decades or so there has been much work done concerning contagious probability ...
MSc (Mathematical Statistics), North-West University, Potchefstroom CampusThe aim of our study is to...
Motivated by a Bayesian inference problem, a modification of the Bessel function distribution is int...
In this thesis, weighted Poisson distributions and processes are investigated, as alternatives to Po...
The present paper provides exact expressions for the probability distributions of linear functionals...
In this paper we propose the probability mass function of the discrete Poisson-Odoma distribution. T...