THE ROC CURVE MODEL FROM GENERALIZED-EXPONENTIAL DISTRIBUTION

Abstract

In biomedical studies often yield continuously positively skewed (non- normal) distributed data. In this regard Generalized-Exponential Distribution is suggested for analyzing such data. In this paper the parametric equation of  the Receiving Operating Characteristic (ROC) curve model is established under the assumptions of bi-distributional population based on pair of Generalized-Exponential Distributions. Also its maximum likelihood estimator MLE, sampling distribution , equivalence test statistic and exact confidence interval are derived.