A unit root test is usually carried out by using the regression test introduced by Dickey and Fuller (1979). Under the null hypothesis the series should be a random walk and a stationary component. This is what is done in additive decompositions between trend and cycle. The paper analyses the...

We propose a test for spatial correlation in Probit models that is a joint test for exclusion of spatially lagged-dependent variables and absence of spatial-error correlation. We give a maximum-likelihood justification for the test but use a simulations approach rather than relying on its...

We show that the empirical process of the squared residuals of an ARCH(p) sequence converges in distribution to a Gaussian process B (F(t)) + tf(t)E , where F is the distribution function of the squared innovations, f its derivative, {B(t), 0= t = 1} a Brownian bridge and E a normal random...