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. & Mohammadpour, A. (2025). Unified estimation of $P(X>Y)$ in the generalized scale-exponential family distributions. (e5675). AUT Journal of Mathematics and Computing, (), e5675 https://doi.org/10.22060/ajmc.2025.23864.1314
MLA
Nasr Esfahani, S., & 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
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): 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
