On the properties of a Takács distribution

DOI10.1016/j.spl.2019.01.005zbMath1407.60022OpenAlexW2911010750MaRDI QIDQ1726920

Luca Pratelli, Lucio Barabesi

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2019.01.005

zbMATH Keywords

convergence in total variationPost-Widder formulageneralized Dickman law

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)

Related Items (1)

Tempered positive Linnik processes and their representations

Cites Work

• Almost sure local limit theorem for the Dickman distribution
• A note on a universal random variate generator for integer-valued random variables
• On the strange domain of attraction to generalized Dickman distributions for sums of independent random variables
• Fast perfect simulation of Vervaat perpetuities
• Numerical methods for Laplace transform inversion
• Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications
• Quickselect and the Dickman Function
• On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
• On perpetuities with gamma-like tails
• Universal methods for generating random variables with a given characteristic function
• Combinatorial Identities for Stirling Numbers
• On secondary processes generated by a Poisson process and their applications in physics
• On stochastic processes connected with certain physical recording apparatuses
• Simulating perpetuities

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