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Keywords:
inverse measure; inverse probability distribution; Laplace transform; variance function
inverse measure; inverse probability distribution; Laplace transform; variance function
Summary:
In this paper we will deal with the determination of the inverse of a dichotomous probability distribution. In particular it will be shown that a dichotomous distribution admit inverse if and only if it corresponds to a random variable assuming values $(0,a)$, $\,a\in \Bbb R^{+}$. Moreover we will provide two general results about the behaviour of the inverse distribution relative to the power and to a linear transformation of a measure.
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