Asymptotic dependence between random central quasi-ranges and random empirical quantiles

The asymptotic dependence between the central quasi-ranges and empirical quantiles was studied. The asymptotic dependence are obtained when the sample size is a positive integer valued random variable (r.v.). The dependence conditions and limit forms are obtained under generl conditions such as: the interrelation of the basic variables (the original random sample) and the random sample size is not restricted. In addition the normalizing constants do not depend on the random size.