Work

On the notion of discrete-time signature and some associated properties and results

Year: 2026

Type: article

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.

Source: Probability in the Engineering and Informational Sciences

DOI: 10.1017/s0269964826100187

Authors: Narayanaswamy Balakrishnan, He Yi, Agnieszka Goroncy

Institutions: Atilim University, McMaster University, Beijing University of Chemical Technology, Nicolaus Copernicus University

Language: English

Topic: Reliability and Maintenance Optimization

Subfield: Safety, Risk, Reliability and Quality

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: University of Cambridge, China Scholarship Council, Natural Sciences and Engineering Research Council of Canada, Fundamental Research Funds for the Central Universities