Weak Limit Of Sample Range And Midrange For Random Sample Sizes

Document Type : Original Article

Authors

Dep.of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Abstract

The present work deals with the weak convergence of sample range and midrange when the sample size is a positive integer-valued random variable (r.v.). The convergence conditions as well as the limit forms are obtained under general conditions such as: The interrelation of the basic variables (i.e., the original random sample, and the random size is not restricted and to normalizing constants do not contain the random size.

Keywords