Echelon Form

Estimating the Kronecker Indices of Cointegrated Echelon Form Varma Models

Cointegrated VARMA models can be parameterized by using the echelon form, which is characterized by the Kronecker indices. Three diierent methods for estimating the Kronecker indices of cointegrated echelon form VARMA models are discussed and compared. They have the common feature of estimating the individual equations of the system separately and using order selection criteria. The small sampl...

Bootstrapping stationary invertible VARMA models in echelon form: A simulation evidence1

In this paper we propose bootstrapping Hannan and Rissanen (1982) estimators in stationary invertible VARMA models, with known order (p, q). Although we consider bootstrapping such models under the echelon form parameterization, the results we derive herein remain valid to other alternative identification issues. In particular, we shall exploit the theoretical developments stated in Dufour and ...

A Fuzzy Model for Computing Input Impedance of Two Coupled Dipole Antennas in the Echelon Form

In this paper, the previously introduced fuzzy modeling method is used to model the input impedance of two coupled dipole antennas in the echelon form. The initial data of two coupled dipole antennas in the parallel and collinear form, which are required for the model, are obtained using the MoM (Method of Moments). Then, the knowledge of two coupled dipole antennas in the echelon form is easil...

Echelon analysis

Locally Bounded Noncontinuous Linear Forms on Strong Duals of Nondistinguished Köthe Echelon Spaces

In this note it is proved that if Al (A) is any nondistinguished Kothe echelon space of order one and K. ,0 (AI (A))' is its strong dual, then there is even a linear form : K C which is locally bounded (i.e. bounded on the bounded sets) but not continuous. It is also shown that every nondistinguished Kothe echelon space contains a sectional subspace with a particular structure.

Joint Stocking and Sourcing Policies for a Single–Depot, Single–Base, Two–Echelon Environments with Repairable Parts: The Role of Flexibility