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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… Click to show full abstract
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.
Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017
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