This paper deals with the monotonicity properties of the failure rate of weighted distributions in relation to the corresponding properties of the base line distribution. Conditions are developed for the preservation of the monotonicity of the failure rate under weighting in the case of monotonic as well as non-monotonic failure rates. Several examples are provided.
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King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
Kayid, Mohamed
Almohsen, Raghad A.
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King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi ArabiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia