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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 | ||
آمار تعداد مشاهده مقاله: 76 |