On the Notion of Discrete-Time Signature and Some Associated Properties and Results
| dc.contributor.author | Balakrishnan, Narayanaswamy | |
| dc.contributor.author | Yi, He | |
| dc.contributor.author | Goroncy, Agnieszka | |
| dc.date.accessioned | 2026-03-05T15:06:40Z | |
| dc.date.available | 2026-03-05T15:06:40Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | In this work, by considering coherent systems comprising independent components with discrete lifetimes, we introduce the notion of discrete-time signature and then discuss some of its properties. With the use of the introduced signature, a stochastic ordering result is also established. We then introduce transformation formulas for the discrete-time signature to facilitate the comparison of systems of different sizes. Some examples are also presented to illustrate all the results developed here. | en_US |
| dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada [RGPIN-2020-06733]; Beijing Natural Science Foundation [9242011]; China Scholarship Council; Fundamental Research Funds for the Central Universities [buctrc202102] | en_US |
| dc.description.sponsorship | This work was supported by the Natural Sciences and Engineering Research Council of Canada (to the first author) through an Individual Discovery Grant (RGPIN-2020-06733), the Beijing Natural Science Foundation (No. 9242011), the China Scholarship Council, and the Fundamental Research Funds for the Central Universities (buctrc202102). The authors also express their sincere thanks to the Editor-in-Chief, the Editorial Board Member, and the anonymous reviewers for their useful comments and suggestions on an earlier version of this manuscript, which resulted in a much improved version. | en_US |
| dc.identifier.doi | 10.1017/S0269964826100187 | |
| dc.identifier.issn | 0269-9648 | |
| dc.identifier.issn | 1469-8951 | |
| dc.identifier.scopus | 2-s2.0-105029859324 | |
| dc.identifier.uri | https://doi.org/10.1017/S0269964826100187 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/11177 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.relation.ispartof | Probability in the Engineering and Informational Sciences | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Coherent System | en_US |
| dc.subject | Discrete-Time | en_US |
| dc.subject | Signature | en_US |
| dc.subject | Stochastic Ordering | en_US |
| dc.subject | Transformation Formula | en_US |
| dc.title | On the Notion of Discrete-Time Signature and Some Associated Properties and Results | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 57200264409 | |
| gdc.author.scopusid | 57192268615 | |
| gdc.author.scopusid | 14119877300 | |
| gdc.author.wosid | Goroncy, Agnieszka/H-4376-2011 | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Balakrishnan, Narayanaswamy] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada; [Balakrishnan, Narayanaswamy] Atilim Univ, Dept Math, Ankara, Turkiye; [Yi, He] Beijing Univ Chem Technol, Sch Econ & Management, Beijing, Peoples R China; [Goroncy, Agnieszka] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Torun, Poland | en_US |
| gdc.description.endpage | 21 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W7126164155 | |
| gdc.identifier.wos | WOS:001674032500001 | |
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| gdc.index.type | Scopus | |
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