Journal article
Size biased sampling from the Dickman subordinator
Stochastic processes and their applications, Vol.130(11), pp.6880-6900
2020
Abstract
The Dickman function and associated distribution play a prominent role in probabilistic number theory and in the theory of Poisson–Dirichlet distributions. These distributions in turn are closely related to properties of ordered jumps of subordinators. In the present paper we derive some remarkable invariance properties and other identities for the Dickman subordinator, related to the large jumps of the process. The implications of this for size-biased sampling from the Dickman distribution are drawn out.
Details
- Title
- Size biased sampling from the Dickman subordinator
- Authors/Creators
- Yuguang F Ipsen - Australian National UniversityR. Maller - Australian National UniversitySoudabeh Shemehsavar - Murdoch University, College of Science, Technology, Engineering and Mathematics
- Publication Details
- Stochastic processes and their applications, Vol.130(11), pp.6880-6900
- Publisher
- Elsevier B.V
- Number of pages
- 21
- Identifiers
- 991005728685107891
- Copyright
- © 2020 Elsevier B.V.
- Murdoch Affiliation
- College of Science, Technology, Engineering and Mathematics
- Language
- English
- Resource Type
- Journal article
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- 9 Mathematics
- 9.50 Applied Statistics & Probability
- 9.50.372 Stochastic Processes
- Web Of Science research areas
- Statistics & Probability
- ESI research areas
- Mathematics