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. (e5675). AUT Journal of Mathematics and Computing, (), e5675 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" .e5675 , AUT Journal of Mathematics and Computing, , , 2025, e5675. 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, (), e5675. 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): e5675, 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 J Math Comput. 2025;():e5675. doi: 10.22060/ajmc.2025.23864.1314
