Sasithorn Kongudomthrap. Bounds in poisson approximation for random sums of Bernoulli random variables. Master's Degree(Mathematics). Chulalongkorn University. Office of Academic Resources. : Chulalongkorn University, 2011.
Bounds in poisson approximation for random sums of Bernoulli random variables
Abstract:
Let X[subscript n] be a sequence of Bernoulli random variables and a positive integer-valued random variable. Define S[subscript N] = X₁ +X₂ + X [subscript n]) be random sums. Assume N, X₁, X₂, are independent. In this thesis, we establish uniform and non-uniform bounds in Poisson approximation for S[subscript N]