A Note on Large Deviations for the Stable Marriage of Poisson and Lebesgue with Random Appetites

Daniel Andrés Díaz Pachón ()
Additional contact information
Daniel Andrés Díaz Pachón: Sao Paulo University

Journal of Theoretical Probability, 2012, vol. 25, issue 1, 77-91

Abstract: Abstract Let Ξ⊂ℝ d be a set of centers chosen according to a Poisson point process in ℝ d . Let ψ be an allocation of ℝ d to Ξ in the sense of the Gale–Shapley marriage problem, with the additional feature that every center ξ∈Ξ has an appetite given by a nonnegative random variable α. Generalizing some previous results, we study large deviations for the distance of a typical point x∈ℝ d to its center ψ(x)∈Ξ, subject to some restrictions on the moments of α.

Keywords: Poisson process; Stable marriage; Random appetite; Large deviations; 60D05 (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-010-0304-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:25:y:2012:i:1:d:10.1007_s10959-010-0304-9

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-010-0304-9

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().