Nearest Neighbors of Multivariate Runs

Yong Kong ()
Additional contact information
Yong Kong: Yale University, School of Public Health

Chapter 15 in Handbook of Scan Statistics, 2024, pp 275-299 from Springer

Abstract: Abstract We investigate the joint distributions of the number of nearest neighbor contacts between different objects in the context of runs-related statistics in multiple object systems. These distributions reveal spatial or temporal relations between runs that could not be answered by traditional run statistics, where the spatial or temporal relations between runs are ignored. To obtain the distributions of nearest neighbor contacts, we generalized the generating function approach we developed previously for run statistics. Explicit distributions and moments of the distributions were obtained. These generating functions also lead directly to the asymptotic distributions based on the singularity perturbation theory. Two kinds of nearest neighbor contacts are discussed. For each case the distributions for conditional and unconditional models are derived. By considering the nearest neighbor contacts in the context of runs and scans distributions, our study adds a new dimension to the existing knowledge in the field, opening up opportunities for further research to explore its full implications and potential applications.

Keywords: Generating function; Lattice model; Combinatorial analysis; Randomness test; Non-parametric statistics; Spatial or temporal relation; Matrix perturbation; Singularity perturbation theory (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:sprchp:978-1-4614-8033-4_63

Ordering information: This item can be ordered from
http://www.springer.com/9781461480334

DOI: 10.1007/978-1-4614-8033-4_63

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().