Bounds on stop-loss distance for generalized multinomial random sum
Let WN = X1 + X2 + \cdots + XN be a random sum, where N is a non-negative, integer-valued random variable independent of the sequence (Xj). This dissertation studies bounds for the stop-loss distance, |E(WN-k)+ - E(Y-k)+|, where Y follows either a normal or a Poisson distribution. We also present illustrative examples...