The Stein-Chen method is used to derive two formulas of uniform and non-uniform bounds on Poisson approximation for a sum of n in-dependent geometric random variables. Application of these formulas is illustrated with the Poisson approximation to the negative binomial distribution
We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the poi...
It is long known that the distribution of a sum Sn of independent non-negative integer-valued random...
This bachelor thesis deals with the counting probability using Poisson distri- bution and shows new ...
Let W be a sum of n independent geometric random variables. In 2007, Teerapabolarn and Wongkasem [4]...
Abstract: In many situations, the Poisson approximation is appropriate for sums of Bernoulli random ...
Abstract: We use the Stein-Chen method to obtain two formulas of non-uniform bounds for the errors i...
The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the d...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approx...
Our aim is to investigate Poisson type approximations to the sums of dependent integer-valued random...
This paper deals with negative binomial approximation to sums of independent Z(+)-valued random vari...
In this paper, a new method based on probability generating functions is used to obtain multiple Ste...
AbstractPoisson approximation in total variation can be successfully established in a wide variety o...
Stein's method is used to prove approximations in total variation to the distributions of integer va...
We derive upper bounds for the total variation distance, d, between the distributions of two random ...
We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the poi...
It is long known that the distribution of a sum Sn of independent non-negative integer-valued random...
This bachelor thesis deals with the counting probability using Poisson distri- bution and shows new ...
Let W be a sum of n independent geometric random variables. In 2007, Teerapabolarn and Wongkasem [4]...
Abstract: In many situations, the Poisson approximation is appropriate for sums of Bernoulli random ...
Abstract: We use the Stein-Chen method to obtain two formulas of non-uniform bounds for the errors i...
The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the d...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approx...
Our aim is to investigate Poisson type approximations to the sums of dependent integer-valued random...
This paper deals with negative binomial approximation to sums of independent Z(+)-valued random vari...
In this paper, a new method based on probability generating functions is used to obtain multiple Ste...
AbstractPoisson approximation in total variation can be successfully established in a wide variety o...
Stein's method is used to prove approximations in total variation to the distributions of integer va...
We derive upper bounds for the total variation distance, d, between the distributions of two random ...
We provide normal approximation error bounds for sums of the form $\sum_x \xi_x$, indexed by the poi...
It is long known that the distribution of a sum Sn of independent non-negative integer-valued random...
This bachelor thesis deals with the counting probability using Poisson distri- bution and shows new ...