{"id":"https://openalex.org/W4388076502","doi":"https://doi.org/10.3390/axioms12111024","title":"Excess Lifetime Extropy of Order Statistics","display_name":"Excess Lifetime Extropy of Order Statistics","publication_year":2023,"publication_date":"2023-10-31","ids":{"openalex":"https://openalex.org/W4388076502","doi":"https://doi.org/10.3390/axioms12111024"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12111024","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111024","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1024/pdf?version=1698744704","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/2075-1680/12/11/1024/pdf?version=1698744704","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":3.4692,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.93791138,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"12","issue":"11","first_page":"1024","last_page":"1024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9970999956130981,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.8700214624404907},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.7941279411315918},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.7661598920822144},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.6976358890533447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5768955945968628},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.540483832359314},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.501798152923584},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4780769348144531},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4768211245536804},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.433639258146286},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.42645642161369324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.191897451877594},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10414931178092957},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09990918636322021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0795544683933258}],"concepts":[{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.8700214624404907},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.7941279411315918},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.7661598920822144},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.6976358890533447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5768955945968628},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.540483832359314},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.501798152923584},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4780769348144531},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4768211245536804},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.433639258146286},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.42645642161369324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.191897451877594},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10414931178092957},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09990918636322021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0795544683933258},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms12111024","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111024","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1024/pdf?version=1698744704","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:8038ecab198842608e4900e153d4d0d6","is_oa":true,"landing_page_url":"https://doaj.org/article/8038ecab198842608e4900e153d4d0d6","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 11, p 1024 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms12111024","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111024","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1024/pdf?version=1698744704","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":[],"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/W4388076502.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1972045164","https://openalex.org/W1982591491","https://openalex.org/W1995875735","https://openalex.org/W2056783660","https://openalex.org/W2140120821","https://openalex.org/W2142857335","https://openalex.org/W2169135475","https://openalex.org/W2171547964","https://openalex.org/W2478708596","https://openalex.org/W2527257983","https://openalex.org/W2763636061","https://openalex.org/W2770078714","https://openalex.org/W2887167677","https://openalex.org/W3105202794","https://openalex.org/W4244821898","https://openalex.org/W4245777296","https://openalex.org/W4253871110","https://openalex.org/W4379144624","https://openalex.org/W4382176644"],"related_works":["https://openalex.org/W4380682190","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W2945307361","https://openalex.org/W2102386043","https://openalex.org/W4237277701","https://openalex.org/W2029076680","https://openalex.org/W2390907725","https://openalex.org/W2904683338","https://openalex.org/W2003768768"],"abstract_inverted_index":{"This":[0],"paper":[1],"explores":[2],"the":[3,18,22,30,34,55,84,100,104,116,126,135],"concept":[4],"of":[5,33,58,87,103,107,115,119,128,134],"residual":[6,19,31,56,85,105,117],"extropy":[7,20,32,57,86,106,118],"as":[8],"an":[9],"uncertainty":[10],"measure":[11],"for":[12,21,54,83],"order":[13,59,88,108,120,129],"statistics.":[14,109],"We":[15],"specifically":[16],"derive":[17],"ith-order":[23,35],"statistic":[24,36],"and":[25,131],"establish":[26],"its":[27,123],"relationship":[28],"with":[29],"from":[37,42],"a":[38,43,52],"random":[39],"sample":[40],"generated":[41],"uniform":[44],"distribution.":[45,137],"By":[46],"employing":[47],"this":[48],"approach,":[49],"we":[50,68,98,111],"obtain":[51],"formula":[53],"statistics":[60,89,130],"applicable":[61],"to":[62,94],"general":[63],"continuous":[64],"distributions.":[65],"In":[66],"addition,":[67],"offer":[69],"two":[70],"lower":[71],"bounds":[72],"that":[73],"can":[74],"be":[75,95],"applied":[76],"in":[77,90],"situations":[78],"where":[79],"obtaining":[80],"closed-form":[81],"expressions":[82],"diverse":[91],"distributions":[92],"proves":[93],"challenging.":[96],"Additionally,":[97],"investigate":[99],"monotonicity":[101],"properties":[102],"Furthermore,":[110],"present":[112],"other":[113],"aspects":[114],"statistics,":[121],"including":[122],"dependence":[124],"on":[125],"position":[127],"various":[132],"features":[133],"underlying":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
