On the strange domain of attraction to generalized Dickman distributions for sums of independent random variables

Ross G. Pinsky

Type: Article

Publication Date: 2018-01-01

Citations: 16

DOI: https://doi.org/10.1214/17-ejp126

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Locations

Electronic Journal of Probability - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF

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+	Non-asymptotic distributional bounds for the Dickman approximation of the running time of the Quickselect algorithm	2018	Larry Goldstein
+	Convergence to scale-invariant Poisson processes and applications in Dickman approximation	2020	Chinmoy Bhattacharjee Ilya Molchanov
+	Comparing the inversion statistic for distribution-biased and distribution-shifted permutations with the geometric and the GEM distributions	2021	Ross G. Pinsky
+ PDF Chat	A Natural Probabilistic Model on the Integers and Its Relation to Dickman-Type Distributions and Buchstab’s Function	2019	Ross G. Pinsky
+	Generalized Poisson--Dirichlet Distributions Based on the Dickman Subordinator	2023	Ross Maller Soudabeh Shemehsavar
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+	Limiting Distributions of Generalised Poisson–Dirichlet Distributions Based on Negative Binomial Processes	2019	Yuguang Ipsen Ross Maller Soudabeh Shemehsavar
+ PDF Chat	Generalized Poisson-Dirichlet distributions based on the Dickman subordinator	2022	Ross Maller Soudabeh Shemehsavar
+	Probabilistic Proofs of Some Generalized Mertens' Formulas Via Generalized Dickman Distributions	2018	Ross G. Pinsky

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+	Logarithmic Combinatorial Structures: A Probabilistic Approach	2003	Richard Arratia A. D. Barbour Simon Tavaré
+ PDF Chat	Non-standard Limit Theorems in Number Theory	2012	Francesco Cellarosi Yakov G. Sinai
+	Quickselect and the Dickman Function	2002	Hsien‐Kuei Hwang Tsung‐Hsi Tsai
+ PDF Chat	Random minimal directed spanning trees and Dickman-type distributions	2004	Mathew D. Penrose Andrew R. Wade
+	On The Number of Positive Integers ≤ x and Free of Prime Factors > y	1951	N.G. de Bruijn
+	A Natural Probabilistic Model on the Integers and its Relation to Dickman-Type Distributions and Buchstab's Function	2016	Ross G. Pinsky
+	On the frequency of numbers containing prime factors of a certain relative magnitude	1930	Kern W. Dickman
+	Multiplicative Number Theory I	2006	Hugh L. Montgomery Robert C. Vaughan