Work

Discrete-time joint signature and associated properties

Year: 2026

Type: article

Abstract: In this work, we consider two coherent systems with shared components in the case when the component lifetimes are independent and identically distributed with a discrete-time distribution instead of a continuous-time distribution. Then, a discrete-time joint signature is proposed for the two systems by generalizing the traditional joint signature for systems with continuous lifetimes. Some stochastic properties of the proposed joint signature are studied in detail, including joint distribution, stochastic ordering, and transformation formula for comparison of pairs of systems of different sizes. Some illustrative examples are also presented.

Source: Probability in the Engineering and Informational Sciences

DOI: 10.1017/s026996482610031x

Authors: He Yi, Narayanaswamy Balakrishnan

Institutions: Beijing University of Chemical Technology, Atilim University, McMaster 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: China Scholarship Council, Natural Sciences and Engineering Research Council of Canada, Fundamental Research Funds for the Central Universities