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The purpose of this paper is to study definitions and characterizations of orders based on reliability measures related with the doubly truncated random variable X [ x, y ] = ( X | x ≤ X ≤ y ). The relationship between these orderings and various existing orderings of life distributions are discussed. Moreover, we give two new characterizations of the likelihood ratio order based on double truncation. These new orders complete a general diagram between orders defined from truncation.
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Navarro et al. (1997) studied this question.
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