The Efficacy Measurement of Treatment Methods: An Application to Stress-Strength Model

Authors

Rashad M. EL-Sagheer, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, EgyptFollow
Mahmoud M. M. Mansour, Department of Basic Science, Faculty of Engineering, The British University in Egypt, El Sherouk City (11837), Cairo, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This paper addresses how to use a statistical model to compare two different treatment methods for cystic fibrosis disease. The stress-strength model is used in a parametric form to compare the efficacy of the two treatment methods. Since the available data in most clinical situations are censored, the stress-strength model is investigated in presence of progressively Type II censored data. The kumaraswamy exponential (Kw-E) distribution is used as a parametirc form for the stress-strength model. The statistical inference of the stress–strength reliability R = P[Y < X] is performed when X and Y are independent random variables and follow the Kw-E distribution.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140316

Recommended Citation

M. EL-Sagheer, Rashad and M. M. Mansour, Mahmoud (2020) "The Efficacy Measurement of Treatment Methods: An Application to Stress-Strength Model," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 16.
DOI: http://dx.doi.org/10.18576/amis/140316
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/16