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Characterizing Density Crossing Points.

The writers discuss where and how often distinct probability density functions cross. Such crossing points are of particular interest if, for example, the normal is deployed as an approximation according to the central limit theorem, as they determine the total variation distance and the areas of o...

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Published in:American Statistician Vol. 61; no. 1; pp. 28 - 34
Main Authors: Finner, Helmut, Roters, Markus, Dickhaus, Thorsten
Format: Article
Published: American Statistical Association February 2007
Subjects:
Distribution (Probability theory)
Chi-squared test
Density functionals
Limit theorems
Online Access:View this record in EBSCOhost
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        atl: Characterizing Density Crossing Points.
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          Finner, Helmut
          Roters, Markus
          Dickhaus, Thorsten
      su:
        Distribution (Probability theory)
        Chi-squared test
        Density functionals
        Limit theorems
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        subj:
          Distribution (Probability theory)
          Chi-squared test
          Density functionals
          Limit theorems
      ab: The writers discuss where and how often distinct probability density functions cross. Such crossing points are of particular interest if, for example, the normal is deployed as an approximation according to the central limit theorem, as they determine the total variation distance and the areas of over- and underestimation of actual probabilities. Furthermore, crossing points are strongly associated with the behavior of the density ratio, a ubiquitous quantity in many fields of statistics. Several examples intended to characterize density crossing points are provided.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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