{"id":"https://openalex.org/W2228221206","doi":"https://doi.org/10.1080/03610918.2015.1005232","title":"The compound class of linear failure rate-power series distributions: Model, properties, and applications","display_name":"The compound class of linear failure rate-power series distributions: Model, properties, and applications","publication_year":2015,"publication_date":"2015-11-14","ids":{"openalex":"https://openalex.org/W2228221206","doi":"https://doi.org/10.1080/03610918.2015.1005232","mag":"2228221206"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2015.1005232","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1005232","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016100241","display_name":"Eisa Mahmoudi","orcid":"https://orcid.org/0000-0001-6109-7342"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Eisa Mahmoudi","raw_affiliation_strings":["Department of Statistics, Yazd University, Yazd, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045787539","display_name":"Ali Akbar Jafari","orcid":"https://orcid.org/0000-0002-2980-338X"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"A. A. Jafari","raw_affiliation_strings":["Department of Statistics, Yazd University, Yazd, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045787539"],"corresponding_institution_ids":["https://openalex.org/I112536369"],"apc_list":null,"apc_paid":null,"fwci":3.0993,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.92088559,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"46","issue":"2","first_page":"1414","last_page":"1440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":1.0,"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":1.0,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6848361492156982},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5985044836997986},{"id":"https://openalex.org/keywords/failure-rate","display_name":"Failure rate","score":0.5181502103805542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49840831756591797},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2957949638366699},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2777954638004303},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10240703821182251},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07244190573692322}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6848361492156982},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5985044836997986},{"id":"https://openalex.org/C163164238","wikidata":"https://www.wikidata.org/wiki/Q2737027","display_name":"Failure rate","level":2,"score":0.5181502103805542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49840831756591797},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2957949638366699},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2777954638004303},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10240703821182251},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07244190573692322},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2015.1005232","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1005232","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1979588942","https://openalex.org/W1988367204","https://openalex.org/W1991583830","https://openalex.org/W2003131731","https://openalex.org/W2005386742","https://openalex.org/W2024018359","https://openalex.org/W2026612985","https://openalex.org/W2027517405","https://openalex.org/W2028719861","https://openalex.org/W2029761439","https://openalex.org/W2042398408","https://openalex.org/W2049633694","https://openalex.org/W2050318807","https://openalex.org/W2063558080","https://openalex.org/W2071916654","https://openalex.org/W2081078349","https://openalex.org/W2090243138","https://openalex.org/W2093067590","https://openalex.org/W2093735674","https://openalex.org/W2111352944","https://openalex.org/W2129734256","https://openalex.org/W2131619778","https://openalex.org/W2168504156","https://openalex.org/W2186436243","https://openalex.org/W2399991609","https://openalex.org/W2514487384","https://openalex.org/W2592412666","https://openalex.org/W2799002609","https://openalex.org/W2950987727","https://openalex.org/W3106349797"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"In":[0,150],"this":[1,22,125,148],"article,":[2],"a":[3,142],"new":[4,31,46,89,163],"class":[5,27,32,66,76,100,126,164],"of":[6,28,33,67,77,87,94,101,124,127,161,165,169],"distributions":[7,34,42,47,83,102,128,166],"is":[8,18,35,103],"introduced,":[9],"which":[10],"generalizes":[11],"the":[12,37,88,95,154,158,162],"linear":[13,38,50,53,56,59,96],"failure":[14,39,51,54,57,60,97],"rate":[15,109],"distribution":[16,23],"and":[17,24,43,63,81,119,139,156,167],"obtained":[19],"by":[20],"compounding":[21],"power":[25],"series":[26,41,65,75,99],"distributions.":[29,68],"This":[30],"called":[36],"rate-power":[40,98],"contains":[44],"some":[45,168],"such":[48,72,129],"as":[49,73,130],"rate-geometric,":[52],"rate-Poisson,":[55],"rate-logarithmic,":[58],"rate-binomial":[61],"distributions,":[62,78],"Rayleigh-power":[64],"Some":[69],"former":[70],"works":[71],"exponential-power":[74],"exponential-geometric,":[79],"exponential-Poisson,":[80],"exponential-logarithmic":[82],"are":[84,145,172],"special":[85],"cases":[86],"proposed":[90],"model.":[91],"The":[92],"ability":[93],"in":[104,147],"covering":[105],"five":[106],"possible":[107],"hazard":[108],"function,":[110],"that":[111],"is,":[112],"increasing,":[113],"decreasing,":[114],"upside-down":[115],"bathtub":[116,118],"(unimodal),":[117],"increasing-decreasing-increasing":[120],"shaped.":[121],"Several":[122],"properties":[123],"moments,":[131],"maximum":[132],"likelihood":[133],"estimation":[134],"procedure":[135],"via":[136],"an":[137],"EM-algorithm":[138],"inference":[140],"for":[141],"large":[143],"sample,":[144],"discussed":[146],"article.":[149],"order":[151],"to":[152],"show":[153],"flexibility":[155],"potentiality,":[157],"fitted":[159],"results":[160],"its":[170],"submodels":[171],"compared":[173],"using":[174],"two":[175],"real":[176],"datasets.":[177]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}