Before revision:  We discuss the estimation error and provide some numerical examples . Applications to high frequency trading events in financial markets and to earthquakes occurrence dynamics are  considered.
After revision:  We discuss the estimation error and explain how the values for the main parameters should be chosen. Various numerical examples are given in order to illustrate the broad possibilities of this estimation procedure ranging from 1-dimensional (power-law or non positive kernels) up to 3-dimensional (circular dependence) processes. A comparison to other non-parametric estimation procedures is made. Applications to high frequency trading events in financial markets and to earthquakes occurrence dynamics are considered.