In this paper we develop an asymptotic theory for estimation based on signed ranks in the ARMA model when the innovation density is symmetrical. We provide two classes of estimators and we establish their asymptotic normality with the help of the asymptotic properties for serial signed rank statistics. Finally, we compare our procedure to the one of least-squares, and we illustrate the performa...

This paper suggests a bootstrap testing procedure for determining the rank of cointegrated systems. The properties of the new testing procedure are investigated using Monte Carlo techniques. The performance of the test compares favourably to that of the widely used procedures for determining cointegration rank proposed by Johansen (1988). JEL classi cation: C12; C15; C32.

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In this note, a generalization of higher rank numerical range isintroduced and some of its properties are investigated