- Full text PDF available (4)
- This year (0)
- Last 5 years (2)
- Last 10 years (3)
Journals and Conferences
In this paper, we use the Stein-Chen method to determine a non-uniform bound for approximating the distribution of sums of dependent Bernoulli random variables by Poisson distribution. We give two formulas of non-uniform bounds and their applications.
The aim of this paper is a use of the Stein-Chen method to give a non-uniform bound for approximating the point probabilities of the number of pairs of chromosomes for which the Hamming distance is less than some fixed Hamming distance d by Poisson distribution.
In this paper, the Stein-Chen method and the w-function associated with the negative hypergeometric random variable are used to give a result of the Poisson approximation to the negative hypergeometric distribution in terms of the total variation distance. Some numerical examples are presented to illustrate the result obtained. 2010 Mathematics Subject… (More)
The algebraic arithmetic-geometric mean inequality method (the algebraic AGM method) is used to derive the optimal lot size and the optimal backorders level for the EOQ and EPQ models with backorders and defective items introduced by . The method is easy to derive both the optimal lot size and optimal backorders level without derivatives. AMS Subject… (More)
The aim of this paper, we use Stein’s method and the w-function associated with the Yule random variable to obtain a non-uniform bound for the point metric of the Yule and geometric distributions. Three numerical examples are provided to illustrate the obtained result. AMS Subject Classification: 62E17, 60F05