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  • Two-Dimensional Signatures

  • Part of
  • Ilya Gertsbakh, Yoseph Shpungin, Fabio Spizzichino
  • Journal:
    Journal of Applied Probability / Volume 49 / Issue 2 / June 2012
    Published online by Cambridge University Press:
    04 February 2016, pp. 416-429
    Print publication:
    June 2012
    • Article
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  • The notion of the signature is a basic concept and a powerful tool in the analysis of networks and reliability systems of binary type. An appropriate definition of this concept has recently been introduced for systems that have ν possible states (with ν ≥ 3). In this paper we analyze in detail several properties and the most relevant aspects of such a general definition. For simplicity's sake, we focus our attention on the case ν = 3. Our analysis will however provide a number of hints for understanding the basic aspects of the general case.