Resumen de On a class of minimum contrast estimators for Gegenbauer random fields

Inmaculada Espejo Miranda , Nikolai Leonenko , Andriy Olenko, María Dolores Ruiz Medina

• The article introduces spatial long-range dependent models based on the fractional difference operators associated with the Gegenbauer polynomials. The results on consistency and asymptotic normality of a class of minimum contrast estimators of long-range dependence parameters of the models are obtained. A methodology to verify assumptions for consistency and asymptotic normality of minimum contrast estimators is developed. Numerical results are presented to confirm the theoretical findings.