Add to ORKGLet W be a sum of n independent geometric random variables. In 2007, Teerapabolarn and Wongkasem [4] used the Stein-Chen method to give a non-uniform bound in approximating the distribution function of W by the Poisson distribution function with mean λ = E(W) =∑n i=1 qip −1 i, where qi = 1−pi. In this paper, a non-uniform bound on the such approximation has been given for the Poisson mean λ = ∑n i=1 qi
Abstract. It is shown that the sum of a Poisson and an independent approximately normally distribute...
Abstract. In this paper we show that Uspensky's expansion theorem for the Poisson approximation...
Given a set of independent Poisson random vari-ableswith common mean, we study the distribution of t...
The Stein-Chen method is used to derive two formulas of uniform and non-uniform bounds on Poisson ap...
Abstract: In many situations, the Poisson approximation is appropriate for sums of Bernoulli random ...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
Copyright c © 2014 K. Teerapabolarn. This is an open access article distributed under the Creative C...
Abstract: We use the Stein-Chen method to obtain two formulas of non-uniform bounds for the errors i...
This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approx...
If ƛ is a positive integer, then a Poisson random variable with parameter ƛ can be thought of as a s...
The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the d...
It is long known that the distribution of a sum Sn of independent non-negative integer-valued random...
Our aim is to investigate Poisson type approximations to the sums of dependent integer-valued random...
It is shown that the distribution of the sum of a Poisson random variable and an independent approxi...
Stein's method is used to prove approximations in total variation to the distributions of integer va...
Abstract. It is shown that the sum of a Poisson and an independent approximately normally distribute...
Abstract. In this paper we show that Uspensky's expansion theorem for the Poisson approximation...
Given a set of independent Poisson random vari-ableswith common mean, we study the distribution of t...
The Stein-Chen method is used to derive two formulas of uniform and non-uniform bounds on Poisson ap...
Abstract: In many situations, the Poisson approximation is appropriate for sums of Bernoulli random ...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
Copyright c © 2014 K. Teerapabolarn. This is an open access article distributed under the Creative C...
Abstract: We use the Stein-Chen method to obtain two formulas of non-uniform bounds for the errors i...
This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approx...
If ƛ is a positive integer, then a Poisson random variable with parameter ƛ can be thought of as a s...
The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the d...
It is long known that the distribution of a sum Sn of independent non-negative integer-valued random...
Our aim is to investigate Poisson type approximations to the sums of dependent integer-valued random...
It is shown that the distribution of the sum of a Poisson random variable and an independent approxi...
Stein's method is used to prove approximations in total variation to the distributions of integer va...
Abstract. It is shown that the sum of a Poisson and an independent approximately normally distribute...
Abstract. In this paper we show that Uspensky's expansion theorem for the Poisson approximation...
Given a set of independent Poisson random vari-ableswith common mean, we study the distribution of t...