Abstract

A random sieve of the set of positive integers N is an infinite sequence of nested subsets N = S0 ⊃ S1 ⊃ S2 ⊃ · · · such that Sk is obtained from Sk−1 by removing elements of Sk−1 with the indices outside Rk and enumerating the remaining elements inthe increasing order. Here R1 , R2 , . . . is a sequence of independent copies of an infinite random set R ⊂ N. We prove general limit theorems for Sn and related functionals, as n → ∞.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.