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Multivariate Saddle Point Detection for Statistical Clustering
2002Decomposition methods based on nonparametric density estimation define a cluster as the basin of attraction of a local maximum (mode) of the density function, with the cluster borders being represented by valleys surrounding the mode. To measure the significance of each delineated cluster we propose a test statistics that compares the estimated density
Dorin Comaniciu +2 more
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Perturbed Statistical Cluster Points
Journal of New TheoryIn recent years, generalizations of statistical convergence have appeared in the literature. The notion of perturbed statistical convergence has recently been established as one such generalization. This recent convergence approach aims to enhance the convergence behavior of a sequence by utilizing specific perturbation functions, thereby increasing ...
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Some statistical cluster point theorems
2014In this paper, we present results related to sets of statistical limit pointsand cluster points of sequences and their matrix transformations, singleand double sequences and stretchings of sequences.
MİLLER, Harry İ. +1 more
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Statistical cluster and extreme limit points of sequences of fuzzy numbers
Information Sciences, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aytar, Salih, Pehlivan, Serpil
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On lacunary statistical limit and cluster points of sequences of fuzzy numbers
2013Summary: For any lacunary sequence \(\theta=(k_r)\), we define the concepts of \(S_\theta\)-limit point and \(S_\theta\)-cluster point of a sequence of fuzzy numbers \(X=(X_k)\). We introduce the new sets \(\Lambda^F_{S_\theta}(X)\), \(\Gamma^F_{S_\theta}(X)\) and prove some inclusion relations between these and the sets \(\Lambda^F_S(X)\), \(\Gamma ...
Kumar, Pankaj +2 more
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Convergent triple sequences and statistical cluster points
2022Mehmet Gürdal, Mualla Birgül Huban
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Spatio-Temporal Cluster Detection and Local Moran Statistics of Point Processes
2019Moran's index is a statistic that measures spatial dependence, quantifying the degree of dispersion or clustering of point processes and events in some location/area. Recognizing that a single Moran's index may not give a sufficient summary of the spatial autocorrelation measure, a local indicator of spatial association (LISA) has gained popularity ...
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