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On some significance tests in cluster analysis

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Automatkche Klassifikation. Theoretische und praktische Methoden zur Gruppierung und Strukturierung von Daten. (Cluster‐Analyse). Von H. H. Bock. Vandenhoeck & Ruprecht, Gottingen‐Zürich 1974. 1. Aufl., 480 S., 54 Abb., Ln. DM 82,–
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Ordered Families of Distributions
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Mathematische Statistik I
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Significance Tests for Clusters: Overview and Comments
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Die asymptotische Verteilung von Koinzidenzen
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The sampling distribution of theW statistic of disjunction for the arbitrary division of a random rectangular distribution
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A method for testing the distinctness of clusters: A test of the disjunction of two clusters in Euclidean space as measured by their overlap
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Statistische Modelle und Bayessche Verfahren zur Bestimmung einer unbekannten Klassifikation normalverteilter zufälliger Vektoren
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Validity studies in clustering methodologies
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On the unimodality of spherically symmetric stable distribution functions
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Basic program for a significance test for two clusters in euclidean space as measured by their overlap
inferredcites →https://doi.org/10.1016/b978-0-12-714250-0.50007-3openalex-snapshot
Distribution Problems in Clustering
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Limit theorems for dissociated random variables
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Note on Grouping
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Percentage Points of a Test for Clusters
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Probabilities for the Size of Largest Clusters and Smallest Intervals
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Multivariate Tests for Clusters
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Bayesian Cluster Analysis
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Asymptotic Behaviour of Classification Maximum Likelihood Estimates
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Multiple local optima in vector quantizers (Corresp.)
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Sufficient conditions for uniqueness of a locally optimal quantizer for a class of convex error weighting functions
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Quantization and the method ofk-means
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Uniqueness of locally optimal quantizer for log-concave density and convex error weighting function
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A Test of Fit Based on the Largest Sample Spacing
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SUBPOPULATIONS OF BLOOD LYMPHOCYTES DEMONSTRATED BY QUANTITATIVE CYTOCHEMISTRY
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PATTERN CLUSTERING BY MULTIVARIATE MIXTURE ANALYSIS
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Sums of Functions of Nearest Neighbor Distances, Moment Bounds, Limit Theorems and a Goodness of Fit Test
inferredcites →https://doi.org/10.1214/aop/1176993713openalex-snapshot
A Central Limit Theorem for $k$-Means Clustering
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Probabilities for a $k$th Nearest Neighbor Problem on the Line
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Asymptotic Distributions for Clustering Criteria
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On the Asymptotic Distribution of $k$-Spacings with Applications to Goodness-of-Fit Tests
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Strong Consistency of $K$-Means Clustering
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Goodness of Fit Testing in $\mathbb{R}^m$ Based on the Weighted Empirical Distribution of Certain Nearest Neighbor Statistics
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An Infinite-Dimensional Approximation for Nearest Neighbor Goodness of Fit Tests
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Contributions to the theory of systematic statistics. I
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Automatische Klassifikation. Theoretische und praktische Methoden zur Gruppierung und Strukturierung von Daten (Cluster-Analyse)
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Cluster-Formation und Analyse.
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A Familiar Statistic in an Unfamiliar Guise-A Problem in Clustering
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The limit distribution for maxima of ‘weighted' rth-nearest-neighbour distances

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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