On compound Poisson approximation for sums of random variables
The authors present an upper bound for the total variation distance between the distribution of the sum of random variables and the compound Poisson distribution with parameter \(\alpha\) and the compounding distribution \(F\). Applications to the Markovian occurrences of a rare event and to the sums of Markov-Bernoulli variables are also considered.
scientific article; zbMATH DE number 1228686
scientific article