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THE ROC CURVE MODEL FROM GENERALIZED-EXPONENTIAL DISTRIBUTION

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Author(s): Ehtesham Hussain

Journal: Pakistan Journal of Statistics and Operation Research
ISSN 1816-2711

Volume: 7;
Issue: 2;
Date: 2011;
Original page

Keywords: ROC curve | Generalized-Exponential Distribution | MLE | equivalence test statistic | exact confidence interval

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.  
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