This paper proposes SupWald tests from a threshold autoregressive model computed with an adaptive set of thresholds. Simple examples of adaptive threshold sets are given. A second contribution of the paper is a general asymptotic null limit theory when the threshold variable is a level variable....

A general framework is proposed for (auto) regression non-parametric estimation of recurrent time series in a class of Hilbert Markov processes with a Lipschitz conditional mean. This includes various non-stationarities by relaxing usual dependence assumptions as mixing or ergodicity, which are...

This paper derives the rate and the asymptotic distribution of the MLE of the parameter of a logit model with a nonstationary covariate when the true parameter is zero. The limit distribution of the t-statistic is also given

This paper studies a semiparametric nonstationary binary choice model. Imposing a spherical normalization constraint on the parameter for identification purpose, we find that the MSE and SMSE are at least sqrt(n)-consistent. Comparing this rate to the parametric MLE's convergence rate, we show...