A Probability Theory of Cluster Analysis

@article{Ling1973APT,
  title={A Probability Theory of Cluster Analysis},
  author={Robert F. Ling},
  journal={Journal of the American Statistical Association},
  year={1973},
  volume={68},
  pages={159-164}
}
  • R. F. Ling
  • Published 1 March 1973
  • Mathematics
  • Journal of the American Statistical Association
Abstract An explicit definition of a (k, r)-cluster is proposed. Each (k, r)-cluster has the property that each of its elements is within a distance r of at least k other elements of the same cluster and the entire set can be linked by a chain of links each less than or equal to r. Some exact distributional results are derived under a nonmetric hypothesis for the case k = 1. An example is given to illustrate the use of probability theory in identifying significant clustering structures in terms… 
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  • Mathematics, Computer Science
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