This paper shows the uniform consistency in probability of modified kernel estimators towards the Baire functions representing the conditional variances and contemporaneous conditional covariances provided the data generating process is given by a strictly stationary solution of a nonparametric...

This paper shows the uniform consistency in probability of a modified kernel estimator towards the Baire function representing the conditional variance provided the data generating process is given by a strictly stationary solution of a parametric ARCH(q)- model.

This paper attempts to provide empirical evidence of the positive definiteness of the mean income effect matrix, a sufficient condition for market demand to satisfy the {\it law of demand} derived by H\"{a}rdle, Hildenbrand and Jerison [HHJ(1991)]. Increasing heterogeneity in spending of...