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Purpose

The purpose of this paper is to compute the signature reliability of the coherent systems.

Design/methodology/approach

The considered k-out-of-n coherent system consists of n number of elements connected in series. With the help of these systems, the authors have evaluated a mathematical structure using universal generating function.

Findings

Using the universal generating function technique, the authors evaluate tail signature, Barlow-Proschan index, expected lifetime and expected cost.

Originality/value

In this paper, the authors have developed a coherent systems based on the universal generating function technique.

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