We examine the higher order asymptotic properties of semiparametric regression estimators that were obtained by the general MINPIN method described in Andrews (1989). We derive an order n^{-1} stochastic expansion and give a theorem justifying order n^{-1} distributional approximation of the...

We develop stochastic expansions with remainder oP(n-2 mu), where 0 mu 1/2, for a standardised semiparametric GLS estimator, a standard error, and a studentized statistic, in the linear regression model with heteroskedasticity of unknown form. We calculate the second moments of the truncated...

For Markov regime-switching models, a nonstandard test statistic must be used to test for the possible presence of multiple regimes. Carter and Steigerwald (2013, Journal of Econometric Methods 2: 25–34) derive the analytic steps needed to implement the Markov regime-switching test proposed by...