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Unified estimation of $P(X>Y)$ in the generalized scale-exponential family distributions | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 بهمن 1403 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23864.1314 | ||
| نویسندگان | ||
| Samira Nasr Esfahani؛ Adel Mohammadpour* | ||
| Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Asymptotic confidence interval؛ Estimation؛ Exponential family؛ AUC؛ Stress-strength model | ||
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آمار تعداد مشاهده مقاله: 220 |
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