On the increasing failure rate criteria |
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Authors: | MA Al-Osh AA Alzaid |
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Institution: | Department of Statistics , King Saud University , 11451, Riyadh |
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Abstract: | We introduce the t0 -increasing failure rate (IFR-t0) class, where the failure rate at age x+t0is greater then or equal to the failure rate at age x for x≥0. The dual class of t0- decreasing failure rate (DER-t0) is defined analogoualy.The relation between the IFR -t0class and other classes of life distributions is studied. Preservation and nonpreservation properties of the IFR-t0 and the DFR-t0 classes under various reliablity operation are presented. The concet of stochastic comparison is utilized to cheracterized the IFR-t 0 class and to suggest other classes of life distributions for aging. |
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Keywords: | t0-increasing failure rate New better than of age t0 Decreasing percentile resi-dual life Preservation properties |
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