This article presents a unified approach for estimating $P(X>Y)$, also known as the area under the receiver operating characteristic (ROC) curve (AUC) or stress–strength model in the generalized scale-exponential family of distributions. The proposed framework includes the derivation of the maximum likelihood estimator and the construction of both asymptotic and percentile boot confidence intervals.
Nasr Esfahani, S. and Mohammadpour, A. (2025). Unified estimation of $P(X>Y)$ in the generalized scale-exponential family distributions. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2025.23864.1314
MLA
Nasr Esfahani, S. , and Mohammadpour, A. . "Unified estimation of $P(X>Y)$ in the generalized scale-exponential family distributions", AUT Journal of Mathematics and Computing, , , 2025, -. doi: 10.22060/ajmc.2025.23864.1314
HARVARD
Nasr Esfahani, S., Mohammadpour, A. (2025). 'Unified estimation of $P(X>Y)$ in the generalized scale-exponential family distributions', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2025.23864.1314
CHICAGO
S. Nasr Esfahani and A. Mohammadpour, "Unified estimation of $P(X>Y)$ in the generalized scale-exponential family distributions," AUT Journal of Mathematics and Computing, (2025): -, doi: 10.22060/ajmc.2025.23864.1314
VANCOUVER
Nasr Esfahani, S., Mohammadpour, A. Unified estimation of $P(X>Y)$ in the generalized scale-exponential family distributions. AUT Journal of Mathematics and Computing, 2025; (): -. doi: 10.22060/ajmc.2025.23864.1314
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