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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.

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