Erik Lindström, Centre for Mathematical Sciences, Lund University Non-linear Portmanteau Tests Abstract We derive Portmanteau tests for a large class of non-linear time series models. This is done by replacing the linear measure of dependence with a more general concept. Asymptotic distributions for the test statistics are derived. The methodology is computationally inexpensive, yet at least as flexible than most similar tests. All tests are also extended to heteroscedastic data.