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The main purpose of this article is to introduce a new approach to Poisson approximation. Some bounds in Poisson approximation for probability distributions of a wide class of various arrays of row-wise independent discrete random variables are established via a probability distance. Some analogous results related to random sums in Poisson approximation are… (More)
Using the Stein-Chen method some upper bounds in Poisson approximation for distributions of row-wise triangular arrays of independent negative-binomial distributed random variables are established in this note.
The main purpose of this note is to present a new approach to Poisson Approximations. Some bounds in Poisson Approximations in term of classical Le Cam’s inequalities for various row-wise triangular arrays of independent Poisson-binomial distributed random variables are established via probability distances based on Trotter-Renyi operators. Some analogous… (More)