A General Class of Coefficients of Divergence of One Distribution from Another

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1966
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Ranked #121 of 145 articles by views in Journal of the Royal Statistical Society Series B (Statistical Methodology)

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Abstract
Summary Let p1 and p2 be two probability measures on the same space and let φ be the generalized Radon-Nikodym derivative of p2 with respect to p1. If C is a continuous convex function of a real variable such that the p1-expectation (generalized as in Section 3) of C(φ) provides a reasonable coefficient of the p1-dispersion of φ, then this expectation has basic properties which it is natural to demand of a coefficient of divergence of p2 from p1. A general class of coefficients of divergence is generated in this way and it is shown that various available measures of divergence, distance, discriminatory information, etc., are members of this class.
Reference Key
openalex_W152055444 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Syed Mustafa Ali, S. D. Silvey
Journal Journal of the Royal Statistical Society Series B (Statistical Methodology)
Year 1966
DOI
10.1111/j.2517-6161.1966.tb00626.x
URL
https://doi.org/10.1111/j.2517-6161.1966.tb00626.x
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