Jiří Anděl

# Abstract:

Conditions for nonnegativity of a p-dimensional AR(1) process $X_t = U X_{t-1} + \e_t$ are investigated in the paper. If all the elements of the matrix U are nonnegative, a new method for estimating U is proposed. It is proved that the estimators are strongly consistent. Small-sample properties of the estimators are illustrated in a simulation study.

# Classification:

62F12, 62M09, 62M10