Poisson approximation for random sums of Bernoulli random variables
Bounds for the total variation distance between the distribution of the sum of a random number of Bernoulli summands and an appropriate Poisson distribution are given. Applications to limit theorems with rates of convergence for marked and thinned point processes and generalizations of the results obtained are also discussed.
total variation distance between the distribution
scientific article; zbMATH DE number 4203382