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إحصاءة الفجوة (Gap Statistic)×مؤشر ديفيز-بولدن×
المجالتقييم النماذجتقييم النماذج
العائلةMCDMMCDM
سنة النشأة20011979
صاحب الطريقةRobert Tibshirani, Guenther Walther, Trevor HastieDavid L. Davies, Donald W. Bouldin
النوعStatistical criterionCluster quality metric
المصدر التأسيسيTibshirani, R., Walther, G., & Hastie, T. (2001). Estimating the number of clusters in a data set via the gap statistic. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 63(2), 411-423. DOI ↗Davies, D. L., & Bouldin, D. W. (1979). A cluster separation measure. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1(2), 224-227. DOI ↗
الأسماء البديلةgap index, Tibshirani gap statisticDBI, Davies Bouldin index
ذات صلة55
الملخصThe Gap Statistic, developed by Tibshirani, Walther, and Hastie in 2001, is a principled statistical method for determining the optimal number of clusters in a dataset. It compares the observed within-cluster sum of squares to the expected value under a null hypothesis of no clustering structure, providing a theoretically grounded approach to cluster number selection.The Davies-Bouldin Index, introduced by Davies and Bouldin in 1979, is a metric for evaluating clustering quality based on the average similarity between each cluster and its most similar neighboring cluster. Lower values indicate better clustering, with a minimum of 0 representing perfectly separated, non-overlapping clusters.
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ScholarGateقارن الطرق: Gap Statistic · Davies-Bouldin Index. استُرجع بتاريخ 2026-06-19 من https://scholargate.app/ar/compare