Bathtub shaped failure rates from mixtures: a practical point of view
We show that a bathtub shaped failure rate can be obtained from a mixture of two increasing failure rate (IFR) models. Specifically, we study the failure rate of the mixture of an exponential distribution, and a Weibull distribution with strictly increasing failure rate. Under some reasonable condit...
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| Veröffentlicht in: | IEEE transactions on reliability 2005-06, Vol.54 (2), p.270-275 |
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| container_title | IEEE transactions on reliability |
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| creator | Wondmagegnehu, E.T. Navarro, J. Hernandez, P.J. |
| description | We show that a bathtub shaped failure rate can be obtained from a mixture of two increasing failure rate (IFR) models. Specifically, we study the failure rate of the mixture of an exponential distribution, and a Weibull distribution with strictly increasing failure rate. Under some reasonable conditions, we show that, from a practical point of view, the mixture failure rate is bathtub. Similar results can be obtained from other mixtures. |
| doi_str_mv | 10.1109/TR.2005.847271 |
| format | Article |
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Specifically, we study the failure rate of the mixture of an exponential distribution, and a Weibull distribution with strictly increasing failure rate. Under some reasonable conditions, we show that, from a practical point of view, the mixture failure rate is bathtub. 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Similar results can be obtained from other mixtures.</description><subject>Aging</subject><subject>Bathtub curve</subject><subject>Exponential distribution</subject><subject>failure rate function</subject><subject>Failure rates</subject><subject>Hazards</subject><subject>Manufacturing processes</subject><subject>mixture of distributions</subject><subject>Probability density function</subject><subject>Radio frequency</subject><subject>reliability function</subject><subject>Reliability theory</subject><subject>Shape</subject><subject>Virtual manufacturing</subject><subject>Weibull distribution</subject><issn>0018-9529</issn><issn>1558-1721</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNqF0c9LwzAUB_AgCs7p1YuX4EFPnUnz25uO-QMGwpjnkKYJq7RrTVp__PdmVBA86CkkfN57eXwBOMVohjFSV-vVLEeIzSQVucB7YIIZkxkWOd4HE4SwzBTL1SE4ivElXSlVcgIWt6bf9EMB48Z0roTeVPUQHAymdxH60DawqT769BSvoYFdMLavrKlh11bbHrYevlXu_RgceFNHd_J9TsHz3WI9f8iWT_eP85tlZolEfVYUhJfWIEutL0jhvUu_YKwUuCh4EgR74TAmtHSF52XJJCotVoQTwZSxjEzB5di3C-3r4GKvmypaV9dm69ohaqk4lpQLleTFnzJXaY6g-f9QIsRJzhM8_wVf2iFs07packEpQYQmNBuRDW2MwXndhaox4VNjpHcp6fVK71LSY0qp4GwsqJxzP5gSJtLiX4j_jHw</recordid><startdate>20050601</startdate><enddate>20050601</enddate><creator>Wondmagegnehu, E.T.</creator><creator>Navarro, J.</creator><creator>Hernandez, P.J.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| issn | 0018-9529 1558-1721 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Aging Bathtub curve Exponential distribution failure rate function Failure rates Hazards Manufacturing processes mixture of distributions Probability density function Radio frequency reliability function Reliability theory Shape Virtual manufacturing Weibull distribution |
| title | Bathtub shaped failure rates from mixtures: a practical point of view |
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