TY - JOUR AU - Nappo, G. AB - . Let (Xt,Yt)be a pure jump Markov process, where Xttakes values in \bf R and Ytis a counting process. We compare the filter of this system and a filter of a suitably modified system. We compute an explicit bound for the distance in the so-called bounded Lipschitz metric between the two filters. Finally we show how to use this bound to construct a discrete space approximation of the filter. TI - Robust Approximation in a Filtering Problem with Real State Space and Counting Observations JF - Applied Mathematics & Optimization DO - 10.1007/s002450010002 DA - 2000-01-01 UR - https://www.deepdyve.com/lp/springer-journals/robust-approximation-in-a-filtering-problem-with-real-state-space-and-xdC068YZ20 SP - 51 EP - 71 VL - 42 IS - 1 DP - DeepDyve ER -