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In Journal of Statistical Physics, Vol. 14, No. 3. (1976), pp. 263-270, doi:10.1007/bf01023628 Key: citeulike:11930605
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The Kullback relative-information measure and Kerridge's inaccuracy measure and their generalized forms are consequences of different forms of the branching property that these measures are required to satisfy. We consider a seemingly more generalized form and show that it does not lead to new measures. We also form a functional equation in two variables through this generalized branching property and show that this leads to the same result.
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