ICCAM2009

10
On distributions of bottom m scores after l-th change
Agah Kozan
email: agah.kozan@ege.edu.tr
Department of Statistics, Faculty of Science, Ege University
35100 Bornova, Izmir
Turkey
(Joint work with: H. Tanil)
Abstract: Consider an infinite sequence which contains independent and identically
distributed (iid) continuous random variables with distribution function (df) F. Tanil
(2009) derived the joint and marginal probability density functions of top m scores after
l-th change. In this study, using the concept of ordered random variables, we obtain the
joint and marginal probability density functions of bottom m scores after l-th change.
In addition, we give a structure function to construct the distribution functions, the
moments, and the characteristic functions of the bottom m scores.