A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System
This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a...
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| Veröffentlicht in: | Journal of applied probability 2013-06, Vol.50 (2), p.475-485 |
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| container_end_page | 485 |
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| container_issue | 2 |
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| container_title | Journal of applied probability |
| container_volume | 50 |
| creator | Feng, Xiuying Zhang, Shuhong Li, Xiaohu |
| description | This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors. |
| doi_str_mv | 10.1239/jap/1371648955 |
| format | Article |
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Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.</description><identifier>ISSN: 0021-9002</identifier><identifier>EISSN: 1475-6072</identifier><identifier>DOI: 10.1239/jap/1371648955</identifier><identifier>CODEN: JPRBAM</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>60k10 ; 62E15 ; Algebra ; Arithmetic ; Coefficients ; Coherence ; Coherence coefficient ; Coherent system ; Conditional probabilities ; Construction ; Distribution functions ; Lifetime ; Mathematical analysis ; Mathematical functions ; order statistics ; Probability distribution ; Probability theory ; Random variables ; Reliability functions ; Remainders ; Representations ; residual lifetime ; signature ; Signatures ; Statistics ; Stochastic models ; stochastic order ; Stochasticity ; Studies ; Vectors (mathematics)</subject><ispartof>Journal of applied probability, 2013-06, Vol.50 (2), p.475-485</ispartof><rights>Applied Probability Trust</rights><rights>Copyright © 2013 Applied Probability Trust</rights><rights>Copyright Applied Probability Trust Jun 2013</rights><rights>Copyright 2013 Applied Probability Trust</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c460t-9c0a754ab7d21dde6e808b3e01a37386c227e3d4f11d3b171925c7714aad68823</citedby><cites>FETCH-LOGICAL-c460t-9c0a754ab7d21dde6e808b3e01a37386c227e3d4f11d3b171925c7714aad68823</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/43283477$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0021900200119667/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,230,314,776,780,799,828,881,27901,27902,55603,57992,57996,58225,58229</link.rule.ids></links><search><creatorcontrib>Feng, Xiuying</creatorcontrib><creatorcontrib>Zhang, Shuhong</creatorcontrib><creatorcontrib>Li, Xiaohu</creatorcontrib><title>A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System</title><title>Journal of applied probability</title><addtitle>Journal of Applied Probability</addtitle><description>This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.</description><subject>60k10</subject><subject>62E15</subject><subject>Algebra</subject><subject>Arithmetic</subject><subject>Coefficients</subject><subject>Coherence</subject><subject>Coherence coefficient</subject><subject>Coherent system</subject><subject>Conditional probabilities</subject><subject>Construction</subject><subject>Distribution functions</subject><subject>Lifetime</subject><subject>Mathematical analysis</subject><subject>Mathematical functions</subject><subject>order statistics</subject><subject>Probability distribution</subject><subject>Probability theory</subject><subject>Random variables</subject><subject>Reliability functions</subject><subject>Remainders</subject><subject>Representations</subject><subject>residual lifetime</subject><subject>signature</subject><subject>Signatures</subject><subject>Statistics</subject><subject>Stochastic models</subject><subject>stochastic order</subject><subject>Stochasticity</subject><subject>Studies</subject><subject>Vectors (mathematics)</subject><issn>0021-9002</issn><issn>1475-6072</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNptkc1P3DAQxS1UJLbAlVulSL30ksXjjzi5gVbQVlpA4uNK5I0nxVGyXmxHgv8eb3e1VNCLx5r3m-fRMyEnQKfAeHXa6dUpcAWFKCsp98gEhJJ5QRX7QiaUMsirdB6QryF0lIKQlZqQx_Ps2kXM3DKLT5hd2Zc4esxuceUx4DLqaJPk2r_qzC2NXTd0n4hgzZguc9titAOuIZ2QJ_RpLrt7DRGHI7Lf6j7g8bYekofLi_vZr3x-8_P37HyeN6KgMa8aqpUUeqEMA2OwwJKWC44UNFe8LBrGFHIjWgDDF6CgYrJRCoTWpihLxg_J2cZ35V2HTcSx6a2pV94O2r_WTtt69jDfdrcl5VW_55UsfuwsnkcMsR5saLDv9RLdGGooEkpLKauEfv-Adm70KZVECZpSlxWIRE03VONdCB7b3TpA6_WPfd7g22agC9H5HS04K7lQKul0a6iHhbfmD_7z7v8t3wAR4qHO</recordid><startdate>20130601</startdate><enddate>20130601</enddate><creator>Feng, Xiuying</creator><creator>Zhang, Shuhong</creator><creator>Li, Xiaohu</creator><general>Cambridge University Press</general><general>Applied Probability Trust</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20130601</creationdate><title>A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System</title><author>Feng, Xiuying ; Zhang, Shuhong ; Li, Xiaohu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c460t-9c0a754ab7d21dde6e808b3e01a37386c227e3d4f11d3b171925c7714aad68823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>60k10</topic><topic>62E15</topic><topic>Algebra</topic><topic>Arithmetic</topic><topic>Coefficients</topic><topic>Coherence</topic><topic>Coherence coefficient</topic><topic>Coherent system</topic><topic>Conditional probabilities</topic><topic>Construction</topic><topic>Distribution functions</topic><topic>Lifetime</topic><topic>Mathematical analysis</topic><topic>Mathematical functions</topic><topic>order statistics</topic><topic>Probability distribution</topic><topic>Probability theory</topic><topic>Random variables</topic><topic>Reliability functions</topic><topic>Remainders</topic><topic>Representations</topic><topic>residual lifetime</topic><topic>signature</topic><topic>Signatures</topic><topic>Statistics</topic><topic>Stochastic models</topic><topic>stochastic order</topic><topic>Stochasticity</topic><topic>Studies</topic><topic>Vectors (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Feng, Xiuying</creatorcontrib><creatorcontrib>Zhang, Shuhong</creatorcontrib><creatorcontrib>Li, Xiaohu</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of applied probability</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Feng, Xiuying</au><au>Zhang, Shuhong</au><au>Li, Xiaohu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System</atitle><jtitle>Journal of applied probability</jtitle><addtitle>Journal of Applied Probability</addtitle><date>2013-06-01</date><risdate>2013</risdate><volume>50</volume><issue>2</issue><spage>475</spage><epage>485</epage><pages>475-485</pages><issn>0021-9002</issn><eissn>1475-6072</eissn><coden>JPRBAM</coden><abstract>This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1239/jap/1371648955</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0021-9002 |
| ispartof | Journal of applied probability, 2013-06, Vol.50 (2), p.475-485 |
| issn | 0021-9002 1475-6072 |
| language | eng |
| recordid | cdi_projecteuclid_primary_oai_CULeuclid_euclid_jap_1371648955 |
| source | Jstor Complete Legacy; JSTOR Mathematics & Statistics; Cambridge University Press Journals Complete |
| subjects | 60k10 62E15 Algebra Arithmetic Coefficients Coherence Coherence coefficient Coherent system Conditional probabilities Construction Distribution functions Lifetime Mathematical analysis Mathematical functions order statistics Probability distribution Probability theory Random variables Reliability functions Remainders Representations residual lifetime signature Signatures Statistics Stochastic models stochastic order Stochasticity Studies Vectors (mathematics) |
| title | A Note on the Mixture Representation of the Conditional Residual Lifetime of a Coherent System |
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