Skip to Main content Skip to Navigation
Conference papers

Estimating Statistics on Words Using Ambiguous Descriptions

Abstract : In this article we propose an alternative way to prove some recent results on statistics on words, such as the expected number of runs or the expected sum of the run exponents. Our approach consists in designing a general framework, based on the symbolic method developed in analytic combinatorics. The descriptions obtained in this framework are built in such a way that the degree of ambiguity of an object O (i.e., the number of different descriptions corresponding to O) is exactly the value of the statistic under study for O. The asymptotic estimation of the expectation is then done using classical techniques from analytic combinatorics. To show the generality of our method, we not only apply it to obtain new proofs of known results, but also extend them from the uniform distribution to any memoryless distribution.
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-01769095
Contributor : Admin Upem <>
Submitted on : Tuesday, April 17, 2018 - 4:55:17 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:07 PM

File

cpm16.pdf
Publisher files allowed on an open archive

Identifiers

Citation

Cyril Nicaud. Estimating Statistics on Words Using Ambiguous Descriptions. 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016), Jun 2016, Tel Aviv, Israel. pp.9, ⟨10.4230/LIPIcs.CPM.2016.9⟩. ⟨hal-01769095⟩

Share

Metrics

Record views

186

Files downloads

63