On the properties of a Takács distribution

Lucio Barabesi and Luca Pratelli

Statistics & Probability Letters, 2019, vol. 148, issue C, 66-73

Abstract: The Takács law – which includes the generalized Dickman law as a special case – arises as a limiting distribution of normalized sums. We provide some properties of this law and a feasible method for computing the probability density and distribution functions of the Takács random variable.

Keywords: Generalized Dickman law; Convergence in total variation; Post–Widder formula (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spl.2019.01.005

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