We study anomalous relaxation properties of the continuous-time random walk model in which the space-jump and waiting-time evolution is given by two random Markov processes. This model describes the subordination of one random process by another. The directing process is inverse to the totally skewed, strictly Levy process. Owing to the properties of the directing process, the relaxation function in the uncoupled random walk model takes the empirical Cole--Cole form. By means of this theoretical analysis we find that the coupled and uncoupled walks lead to different forms of the relaxation function.

PACS numbers: 2.50.--r, 05.40.--j