The aim of these notes is to revisit sequential Monte Carlo (SMC) sampling. SMC sampling is a powerful simulation tool for solving non-linear and/or non-Gaussian state space models. We illustrate this with several examples.

This rejoinder highlights some of the differences in the test approach adopted by Fernandez-Macho (2013) in his critique of Leong and Huang (2010) and those commonly found in the literature such as Granger and Newbold(1974), Phillips (1986) and Leong and Huang (2010)