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That each probability distribution has only one characteristic funciton is obvious; the non-trivial part is in the other direction: different distributions cannot share one characteristic f |
m Andre Engels - Robot-assisted disambiguation: Function |
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Some mathematicians use the phrase '''<i>characteristic function</i>''' synonymously with "[[indicator function]]". The indicator function of a [[subset]] ''A'' of a [[set]] ''B'' is the [[function (mathematics)|function]] with ___domain ''B'', whose value is 1 at each point in ''A'' and 0 at each point that is in ''B'' but not in ''A''.
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