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Renyi entropy properties of mixed systems

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  • A. Toomaj

Abstract

This paper deals with Renyi information properties of mixed systems when lifetimes of components are independent and identically distributed. The provided results are obtained by using the concept of Samaniego’s signature. Stochastic comparisons of Renyi entropy for mixed systems are discussed provided that both systems have the same signature. To approximate the behavior of the Renyi entropy, some bounds are also given. In the rest, Renyi discrimination information between the distribution of system’s lifetime and component lifetime are obtained and proved that they are distribution free and depends only on the system signature.

Suggested Citation

  • A. Toomaj, 2017. "Renyi entropy properties of mixed systems," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(2), pages 906-916, January.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:2:p:906-916
    DOI: 10.1080/03610926.2015.1006785
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    Cited by:

    1. Siddhartha Chakraborty & Biswabrata Pradhan, 2024. "On cumulative residual extropy of coherent and mixed systems," Annals of Operations Research, Springer, vol. 340(1), pages 59-81, September.

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