LSE method using the CHSS model
Testing the reliability at a nominal stress level may lead to extensive test time. Estimations of reliability parameters can be obtained faster thanks to step-stress accelerated life tests (ALT). Usually, a transfer functional defined among a given class of parametric functions is required, but Bagd...
Gespeichert in:
| Veröffentlicht in: | Journal of statistical planning and inference 2009-05, Vol.139 (5), p.1809-1820 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1820 |
|---|---|
| container_issue | 5 |
| container_start_page | 1809 |
| container_title | Journal of statistical planning and inference |
| container_volume | 139 |
| creator | Lantiéri, P. Guérin, F. Voiculescu, S. |
| description | Testing the reliability at a nominal stress level may lead to extensive test time. Estimations of reliability parameters can be obtained faster thanks to step-stress accelerated life tests (ALT). Usually, a transfer functional defined among a given class of parametric functions is required, but Bagdonavičius and Nikulin showed that ALT tests are still possible without any assumption about this functional. When shape and scale parameters of the lifetime distribution change with the stress level, they suggested an ALT method using a model called CHanging Shape and Scale (CHSS). They estimated the lifetime parameters at the nominal stress with maximum likelihood estimation (MLE). However, this method usually requires an initialization of lifetime parameters, which may be difficult when no similar product has been tested before. This paper aims to face this issue by using an iterating least square estimation (LSE) method. It will enable one to initialize the optimization required to carry out the MLE and it will give estimations that can sometimes be better than those given by MLE. |
| doi_str_mv | 10.1016/j.jspi.2008.05.031 |
| format | Article |
| fullrecord | <record><control><sourceid>hal_cross</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_00881225v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0378375808002553</els_id><sourcerecordid>oai_HAL_hal_00881225v1</sourcerecordid><originalsourceid>FETCH-LOGICAL-c359t-264b4f61155d47a012ef0aa227c285e8537199b2bd7c14a423adeb20c02801903</originalsourceid><addsrcrecordid>eNp9kE9Lw0AQxRdRsP75Al7MxYOHxJnZbHYLXkqpVgh4qJ6XzWZjN6RNycaC396ESI_OZWB4v5l5j7E7hAQBs6c6qcPBJwSgEhAJcDxjM1SSx4gSz9kMuFQxl0JdsqsQahgqAzFj9_lmFe1cv23L6Dv4_VfUb120XG820a4tXXPDLirTBHf716_Z58vqY7mO8_fXt-Uijy0X8z6mLC3SKkMUokylASRXgTFE0pISTgkucT4vqCilxdSkxE3pCgILpADnwK_Z47R3axp96PzOdD-6NV6vF7keZ4MzhUTiiIOWJq3t2hA6V50ABD3GoWs9xqHHODQIPcQxQA8TdDDBmqbqzN76cCIJOadUjo88Tzo3uD161-lgvdtbV_rO2V6Xrf_vzC8BmnFx</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>LSE method using the CHSS model</title><source>Access via ScienceDirect (Elsevier)</source><creator>Lantiéri, P. ; Guérin, F. ; Voiculescu, S.</creator><creatorcontrib>Lantiéri, P. ; Guérin, F. ; Voiculescu, S.</creatorcontrib><description>Testing the reliability at a nominal stress level may lead to extensive test time. Estimations of reliability parameters can be obtained faster thanks to step-stress accelerated life tests (ALT). Usually, a transfer functional defined among a given class of parametric functions is required, but Bagdonavičius and Nikulin showed that ALT tests are still possible without any assumption about this functional. When shape and scale parameters of the lifetime distribution change with the stress level, they suggested an ALT method using a model called CHanging Shape and Scale (CHSS). They estimated the lifetime parameters at the nominal stress with maximum likelihood estimation (MLE). However, this method usually requires an initialization of lifetime parameters, which may be difficult when no similar product has been tested before. This paper aims to face this issue by using an iterating least square estimation (LSE) method. It will enable one to initialize the optimization required to carry out the MLE and it will give estimations that can sometimes be better than those given by MLE.</description><identifier>ISSN: 0378-3758</identifier><identifier>EISSN: 1873-1171</identifier><identifier>DOI: 10.1016/j.jspi.2008.05.031</identifier><identifier>CODEN: JSPIDN</identifier><language>eng</language><publisher>Kidlington: Elsevier B.V</publisher><subject>Accelerated life testing ; Applications ; Bootstrap ; Changing shape and scale ; Distribution theory ; Engineering Sciences ; Exact sciences and technology ; General topics ; Least square estimation ; Mathematics ; Mechanics ; Mechanics of materials ; Physics ; Probability and statistics ; Probability theory and stochastic processes ; Reliability, life testing, quality control ; Sciences and techniques of general use ; Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) ; Statistics ; Statistics Theory ; Step-stress test ; Weibull distribution</subject><ispartof>Journal of statistical planning and inference, 2009-05, Vol.139 (5), p.1809-1820</ispartof><rights>2008</rights><rights>2009 INIST-CNRS</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c359t-264b4f61155d47a012ef0aa227c285e8537199b2bd7c14a423adeb20c02801903</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.jspi.2008.05.031$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,309,310,314,780,784,789,790,885,3550,23930,23931,25140,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21332470$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00881225$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Lantiéri, P.</creatorcontrib><creatorcontrib>Guérin, F.</creatorcontrib><creatorcontrib>Voiculescu, S.</creatorcontrib><title>LSE method using the CHSS model</title><title>Journal of statistical planning and inference</title><description>Testing the reliability at a nominal stress level may lead to extensive test time. Estimations of reliability parameters can be obtained faster thanks to step-stress accelerated life tests (ALT). Usually, a transfer functional defined among a given class of parametric functions is required, but Bagdonavičius and Nikulin showed that ALT tests are still possible without any assumption about this functional. When shape and scale parameters of the lifetime distribution change with the stress level, they suggested an ALT method using a model called CHanging Shape and Scale (CHSS). They estimated the lifetime parameters at the nominal stress with maximum likelihood estimation (MLE). However, this method usually requires an initialization of lifetime parameters, which may be difficult when no similar product has been tested before. This paper aims to face this issue by using an iterating least square estimation (LSE) method. It will enable one to initialize the optimization required to carry out the MLE and it will give estimations that can sometimes be better than those given by MLE.</description><subject>Accelerated life testing</subject><subject>Applications</subject><subject>Bootstrap</subject><subject>Changing shape and scale</subject><subject>Distribution theory</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>General topics</subject><subject>Least square estimation</subject><subject>Mathematics</subject><subject>Mechanics</subject><subject>Mechanics of materials</subject><subject>Physics</subject><subject>Probability and statistics</subject><subject>Probability theory and stochastic processes</subject><subject>Reliability, life testing, quality control</subject><subject>Sciences and techniques of general use</subject><subject>Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)</subject><subject>Statistics</subject><subject>Statistics Theory</subject><subject>Step-stress test</subject><subject>Weibull distribution</subject><issn>0378-3758</issn><issn>1873-1171</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp9kE9Lw0AQxRdRsP75Al7MxYOHxJnZbHYLXkqpVgh4qJ6XzWZjN6RNycaC396ESI_OZWB4v5l5j7E7hAQBs6c6qcPBJwSgEhAJcDxjM1SSx4gSz9kMuFQxl0JdsqsQahgqAzFj9_lmFe1cv23L6Dv4_VfUb120XG820a4tXXPDLirTBHf716_Z58vqY7mO8_fXt-Uijy0X8z6mLC3SKkMUokylASRXgTFE0pISTgkucT4vqCilxdSkxE3pCgILpADnwK_Z47R3axp96PzOdD-6NV6vF7keZ4MzhUTiiIOWJq3t2hA6V50ABD3GoWs9xqHHODQIPcQxQA8TdDDBmqbqzN76cCIJOadUjo88Tzo3uD161-lgvdtbV_rO2V6Xrf_vzC8BmnFx</recordid><startdate>20090501</startdate><enddate>20090501</enddate><creator>Lantiéri, P.</creator><creator>Guérin, F.</creator><creator>Voiculescu, S.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><scope>VOOES</scope></search><sort><creationdate>20090501</creationdate><title>LSE method using the CHSS model</title><author>Lantiéri, P. ; Guérin, F. ; Voiculescu, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-264b4f61155d47a012ef0aa227c285e8537199b2bd7c14a423adeb20c02801903</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Accelerated life testing</topic><topic>Applications</topic><topic>Bootstrap</topic><topic>Changing shape and scale</topic><topic>Distribution theory</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>General topics</topic><topic>Least square estimation</topic><topic>Mathematics</topic><topic>Mechanics</topic><topic>Mechanics of materials</topic><topic>Physics</topic><topic>Probability and statistics</topic><topic>Probability theory and stochastic processes</topic><topic>Reliability, life testing, quality control</topic><topic>Sciences and techniques of general use</topic><topic>Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)</topic><topic>Statistics</topic><topic>Statistics Theory</topic><topic>Step-stress test</topic><topic>Weibull distribution</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lantiéri, P.</creatorcontrib><creatorcontrib>Guérin, F.</creatorcontrib><creatorcontrib>Voiculescu, S.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Journal of statistical planning and inference</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lantiéri, P.</au><au>Guérin, F.</au><au>Voiculescu, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>LSE method using the CHSS model</atitle><jtitle>Journal of statistical planning and inference</jtitle><date>2009-05-01</date><risdate>2009</risdate><volume>139</volume><issue>5</issue><spage>1809</spage><epage>1820</epage><pages>1809-1820</pages><issn>0378-3758</issn><eissn>1873-1171</eissn><coden>JSPIDN</coden><abstract>Testing the reliability at a nominal stress level may lead to extensive test time. Estimations of reliability parameters can be obtained faster thanks to step-stress accelerated life tests (ALT). Usually, a transfer functional defined among a given class of parametric functions is required, but Bagdonavičius and Nikulin showed that ALT tests are still possible without any assumption about this functional. When shape and scale parameters of the lifetime distribution change with the stress level, they suggested an ALT method using a model called CHanging Shape and Scale (CHSS). They estimated the lifetime parameters at the nominal stress with maximum likelihood estimation (MLE). However, this method usually requires an initialization of lifetime parameters, which may be difficult when no similar product has been tested before. This paper aims to face this issue by using an iterating least square estimation (LSE) method. It will enable one to initialize the optimization required to carry out the MLE and it will give estimations that can sometimes be better than those given by MLE.</abstract><cop>Kidlington</cop><pub>Elsevier B.V</pub><doi>10.1016/j.jspi.2008.05.031</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0378-3758 |
| ispartof | Journal of statistical planning and inference, 2009-05, Vol.139 (5), p.1809-1820 |
| issn | 0378-3758 1873-1171 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_00881225v1 |
| source | Access via ScienceDirect (Elsevier) |
| subjects | Accelerated life testing Applications Bootstrap Changing shape and scale Distribution theory Engineering Sciences Exact sciences and technology General topics Least square estimation Mathematics Mechanics Mechanics of materials Physics Probability and statistics Probability theory and stochastic processes Reliability, life testing, quality control Sciences and techniques of general use Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) Statistics Statistics Theory Step-stress test Weibull distribution |
| title | LSE method using the CHSS model |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T12%3A45%3A09IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-hal_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=LSE%20method%20using%20the%20CHSS%20model&rft.jtitle=Journal%20of%20statistical%20planning%20and%20inference&rft.au=Lanti%C3%A9ri,%20P.&rft.date=2009-05-01&rft.volume=139&rft.issue=5&rft.spage=1809&rft.epage=1820&rft.pages=1809-1820&rft.issn=0378-3758&rft.eissn=1873-1171&rft.coden=JSPIDN&rft_id=info:doi/10.1016/j.jspi.2008.05.031&rft_dat=%3Chal_cross%3Eoai_HAL_hal_00881225v1%3C/hal_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_els_id=S0378375808002553&rfr_iscdi=true |