Coverage Problem Revisited

TL;DR

This paper studies the properties of spacings from continuous distributions, focusing on their asymptotic behavior, and applies these findings to improve genome assembly coverage predictions.

Contribution

It provides new asymptotic results on maximal spacings and applies them to the genome assembly coverage problem.

Findings

Asymptotic behavior of maximal spacings characterized

Results applicable to genome assembly coverage prediction

Enhanced understanding of spacings in continuous distributions

Abstract

Motivated by some problems in genome assembling, we investigate properties of spacings from absolutely continuous distributions. Several results on the asymptotic behavior of the maximal uniform and non-uniform $k$-spacings are presented. Applications of these results to the coverage problem for the prediction stage in genome assembling are also provided.