Wiley StatsRef: Statistics Reference Online 2016
DOI: 10.1002/9781118445112.stat02525.pub2
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Interpoint Distance Distribution

Abstract: The interpoint distance distribution (IDD) is the distribution of the random variable defined as the distance, or dissimilarity, between two i.i.d. random variables. Estimation and testing procedures are available, based on samples of i.i.d. observations for the one‐sample and the two‐sample problem. The IDD allows for a reduction in dimensionality and can be used to perform shape classification. It is also related to local quantities in spatial point processes.

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“…Another approach to test the similarity between the sequences in ' and ℳ is based on the comparison of the estimated cumulative distribution function of the within-groups dissimilarities. Such proposal refers to the so-called interpoint distance distribution (IDD, see Bonetti, 2016), i.e. the cumulative function " ( ) = ( ≤ ) of the "distance", , between two units randomly selected from a population.…”
Section: Interpoint Distance Distributions (Idd)mentioning
confidence: 99%
“…Another approach to test the similarity between the sequences in ' and ℳ is based on the comparison of the estimated cumulative distribution function of the within-groups dissimilarities. Such proposal refers to the so-called interpoint distance distribution (IDD, see Bonetti, 2016), i.e. the cumulative function " ( ) = ( ≤ ) of the "distance", , between two units randomly selected from a population.…”
Section: Interpoint Distance Distributions (Idd)mentioning
confidence: 99%