{"id":"https://openalex.org/W4386960663","doi":"https://doi.org/10.3390/axioms12090899","title":"Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level","display_name":"Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level","publication_year":2023,"publication_date":"2023-09-21","ids":{"openalex":"https://openalex.org/W4386960663","doi":"https://doi.org/10.3390/axioms12090899"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12090899","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090899","pdf_url":"https://www.mdpi.com/2075-1680/12/9/899/pdf?version=1695296707","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/12/9/899/pdf?version=1695296707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074635060","display_name":"Mansour Shrahili","orcid":"https://orcid.org/0000-0003-3456-8393"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mansour Shrahili","raw_affiliation_strings":["Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026393714","display_name":"Mohamed Kayid","orcid":"https://orcid.org/0000-0001-6363-1246"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Mohamed Kayid","raw_affiliation_strings":["Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026393714"],"corresponding_institution_ids":["https://openalex.org/I28022161"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3019,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53928867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"12","issue":"9","first_page":"899","last_page":"899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10683","display_name":"Mass Spectrometry Techniques and Applications","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10683","display_name":"Mass Spectrometry Techniques and Applications","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9589999914169312,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11948","display_name":"Machine Learning in Materials Science","score":0.9472000002861023,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/predictability","display_name":"Predictability","score":0.9047950506210327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6433703899383545},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5624138116836548},{"id":"https://openalex.org/keywords/precondition","display_name":"Precondition","score":0.44695669412612915},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3614547848701477},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3518350124359131},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27994823455810547},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23454394936561584},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08537650108337402}],"concepts":[{"id":"https://openalex.org/C197640229","wikidata":"https://www.wikidata.org/wiki/Q2534066","display_name":"Predictability","level":2,"score":0.9047950506210327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6433703899383545},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5624138116836548},{"id":"https://openalex.org/C192465680","wikidata":"https://www.wikidata.org/wiki/Q1413450","display_name":"Precondition","level":2,"score":0.44695669412612915},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3614547848701477},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3518350124359131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27994823455810547},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23454394936561584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08537650108337402},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12090899","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090899","pdf_url":"https://www.mdpi.com/2075-1680/12/9/899/pdf?version=1695296707","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:43af7cf60dbf408cafa6894ea18a3b79","is_oa":true,"landing_page_url":"https://doaj.org/article/43af7cf60dbf408cafa6894ea18a3b79","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 12, Iss 9, p 899 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12090899","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12090899","pdf_url":"https://www.mdpi.com/2075-1680/12/9/899/pdf?version=1695296707","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2459613305","display_name":null,"funder_award_id":"RSP2023R464","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"},{"id":"https://openalex.org/G3185388506","display_name":null,"funder_award_id":"RSP2023R4","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"},{"id":"https://openalex.org/G8239988234","display_name":null,"funder_award_id":"Riyadh","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4386960663.pdf"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W355287051","https://openalex.org/W1985433145","https://openalex.org/W1994343497","https://openalex.org/W1995875735","https://openalex.org/W2010026686","https://openalex.org/W2027855608","https://openalex.org/W2034784913","https://openalex.org/W2048832652","https://openalex.org/W2049737133","https://openalex.org/W2062516286","https://openalex.org/W2066874235","https://openalex.org/W2067215834","https://openalex.org/W2082798378","https://openalex.org/W2091470271","https://openalex.org/W2121391333","https://openalex.org/W2126391818","https://openalex.org/W2127507687","https://openalex.org/W2160411465","https://openalex.org/W2494547691","https://openalex.org/W2512176825","https://openalex.org/W2530955323","https://openalex.org/W2976647941","https://openalex.org/W3081577637","https://openalex.org/W4226026892","https://openalex.org/W4360858829","https://openalex.org/W4360861743","https://openalex.org/W4379231450","https://openalex.org/W4382280719","https://openalex.org/W6678226487"],"related_works":["https://openalex.org/W2294916142","https://openalex.org/W1988458526","https://openalex.org/W2953046944","https://openalex.org/W1581362285","https://openalex.org/W2185407019","https://openalex.org/W2726467123","https://openalex.org/W2368102490","https://openalex.org/W2064726690","https://openalex.org/W4254065731","https://openalex.org/W2180033908"],"abstract_inverted_index":{"This":[0,27],"paper":[1],"explores":[2],"the":[3,7,15,30,35,39,53,89,102,113,121,146,153],"cumulative":[4,36,92],"entropy":[5,37],"of":[6,9,38,48,55,62,91,112,115,123,126,137,149,155],"lifetime":[8],"an":[10],"n-component":[11],"coherent":[12,117],"system,":[13],"given":[14],"precondition":[16],"that":[17],"all":[18],"system":[19,31,87,140],"components":[20],"have":[21],"experienced":[22],"failure":[23],"at":[24],"time":[25],"t.":[26],"investigation":[28],"utilizes":[29],"signature":[32],"to":[33,75,83,109],"compute":[34],"system\u2019s":[40,50,118],"lifetime,":[41,119],"shedding":[42],"light":[43],"on":[44,88,152],"a":[45,49,60,81,85,98,116,134],"crucial":[46],"facet":[47],"predictability.":[51],"In":[52],"course":[54],"this":[56,76,124],"research,":[57],"we":[58,79],"unearth":[59],"series":[61],"noteworthy":[63],"discoveries.":[64],"These":[65,105],"include":[66],"formulating":[67],"expressions,":[68],"defining":[69],"bounds,":[70],"and":[71,144],"identifying":[72],"orderings":[73],"related":[74],"measure.":[77],"Further,":[78],"propose":[80],"technique":[82],"identify":[84],"preferred":[86],"basis":[90,154],"Kullback\u2013Leibler":[93],"discriminating":[94,156],"information,":[95],"which":[96],"exhibits":[97],"strong":[99],"relation":[100],"with":[101],"parallel":[103],"system.":[104],"findings":[106],"contribute":[107],"significantly":[108],"our":[110],"understanding":[111],"predictability":[114,141],"underscoring":[120],"importance":[122],"field":[125],"study.":[127],"The":[128],"outcomes":[129],"offer":[130],"potential":[131],"benefits":[132],"for":[133],"wide":[135],"range":[136],"applications":[138],"where":[139,145],"is":[142,158],"paramount,":[143],"comparative":[147],"evaluation":[148],"different":[150],"systems":[151],"information":[157],"needed.":[159]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
