{"id":"https://openalex.org/W1561360119","doi":null,"title":"Misclassification in Size-Biased Modified Power Series Distribution and Its Applications","display_name":"Misclassification in Size-Biased Modified Power Series Distribution and Its Applications","publication_year":2009,"publication_date":"2009-03-01","ids":{"openalex":"https://openalex.org/W1561360119","mag":"1561360119"},"language":"en","primary_location":{"id":"mag:1561360119","doi":null,"is_oa":false,"landing_page_url":"http://kiss.kstudy.com/thesis/thesis-view.asp?key=2785468","pdf_url":null,"source":{"id":"https://openalex.org/S2764714747","display_name":"Journal of the Korea Society for Industrial and Applied Mathematics","issn_l":"1226-9433","issn":["1226-9433","1229-0645"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","kci-excellent","poland-20","russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of the Korea Society for Industrial and Applied Mathematics","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W1561360119"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5109467021","display_name":"Anwar Hassan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anwar Hassan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5018150327","display_name":"Peer Bilal Ahmad","orcid":"https://orcid.org/0000-0002-1009-9898","observed_orcids":["https://orcid.org/0000-0002-1009-9898"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peer Bilal Ahmad","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1009-9898","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9709,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76797488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"13","issue":"1","first_page":"55","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9657999873161316,"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":0.9657999873161316,"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/T13500","display_name":"Probability and Statistical Research","score":0.02979999966919422,"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/T11720","display_name":"Probability and Risk Models","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/misclassification","display_name":"misclassification","score":0.7739999890327454},{"id":"https://openalex.org/keywords/recurrence-relations","display_name":"recurrence relations","score":0.7580000162124634},{"id":"https://openalex.org/keywords/raw-moments","display_name":"raw moments","score":0.9169999957084656},{"id":"https://openalex.org/keywords/central-moments","display_name":"central moments","score":0.9950000047683716},{"id":"https://openalex.org/keywords/factorial-moments","display_name":"factorial moments","score":0.9990000128746033},{"id":"https://openalex.org/keywords/variance","display_name":"variance","score":0.6729999780654907},{"id":"https://openalex.org/keywords/misclassification-probability","display_name":"misclassification probability","score":0.5490000247955322}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.777569055557251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6911468505859375},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5936628580093384},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.5860185623168945},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5441407561302185},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5171091556549072},{"id":"https://openalex.org/C178174526","wikidata":"https://www.wikidata.org/wiki/Q3711786","display_name":"Compound Poisson distribution","level":4,"score":0.483808696269989},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.4622404873371124},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.44755908846855164},{"id":"https://openalex.org/C67417131","wikidata":"https://www.wikidata.org/wiki/Q3258231","display_name":"Poisson binomial distribution","level":5,"score":0.43927186727523804},{"id":"https://openalex.org/C88721176","wikidata":"https://www.wikidata.org/wiki/Q966010","display_name":"Zero-inflated model","level":4,"score":0.43350130319595337},{"id":"https://openalex.org/C183763347","wikidata":"https://www.wikidata.org/wiki/Q120976","display_name":"Factorial","level":2,"score":0.43194687366485596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42464056611061096},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3254108428955078},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.23787131905555725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2016369104385376},{"id":"https://openalex.org/C165480597","wikidata":"https://www.wikidata.org/wiki/Q307557","display_name":"Beta-binomial distribution","level":4,"score":0.16034045815467834},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:1561360119","doi":null,"is_oa":false,"landing_page_url":"http://kiss.kstudy.com/thesis/thesis-view.asp?key=2785468","pdf_url":null,"source":{"id":"https://openalex.org/S2764714747","display_name":"Journal of the Korea Society for Industrial and Applied Mathematics","issn_l":"1226-9433","issn":["1226-9433","1229-0645"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","kci-excellent","poland-20","russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of the Korea Society for Industrial and Applied Mathematics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1968226871","https://openalex.org/W1968803533","https://openalex.org/W1991676850","https://openalex.org/W2007179232","https://openalex.org/W2007823757","https://openalex.org/W2014279111","https://openalex.org/W2026612985","https://openalex.org/W2039855544","https://openalex.org/W2055427414","https://openalex.org/W2079075343","https://openalex.org/W2088669732","https://openalex.org/W2089804945","https://openalex.org/W2106655984","https://openalex.org/W2111772028","https://openalex.org/W2168148241"],"related_works":["https://openalex.org/W2233716339","https://openalex.org/W1540361168","https://openalex.org/W2547556745","https://openalex.org/W4400649952","https://openalex.org/W1994035946","https://openalex.org/W3030175209","https://openalex.org/W2055427414","https://openalex.org/W2514995735","https://openalex.org/W2184686368","https://openalex.org/W7099748335"],"abstract_inverted_index":{"A":[0],"misclassified":[1,21],"size-biased":[2,72,78,96],"modified":[3],"power":[4],"series":[5],"distribution":[6,99],"(MSBMPSD)":[7],"where":[8],"some":[9,65],"of":[10,48,51,66],"the":[11,37,40,44,49,52,55,61,71,77,95,102],"observations":[12],"corresponding":[13],"to":[14,100],"x":[15,23],"=":[16,24],"c":[17,25],"+":[18],"1":[19],"are":[20,87],"as":[22],"with":[26],"probability":[27],"\u03b1,":[28],"is":[29,57,92],"defined.":[30],"We":[31],"obtain":[32],"its":[33,67],"recurrence":[34],"relations":[35],"among":[36],"raw":[38],"moments,":[39],"central":[41],"moments":[42],"and":[43,82],"factorial":[45],"moments.":[46],"Discussion":[47],"effect":[50],"misclassification":[53],"on":[54],"variance":[56],"considered.":[58],"To":[59],"illustrate":[60,101],"situation":[62],"under":[63],"consideration":[64],"particular":[68],"cases":[69],"like":[70],"generalized":[73,79,97],"negative":[74],"binomial":[75],"(SBGNB),":[76],"Poisson":[80,98],"(SBGP)":[81],"size-":[83],"biased":[84],"Borel":[85],"distributions":[86],"included.":[88],"Finally,":[89],"an":[90],"example":[91],"presented":[93],"for":[94],"results.":[103]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2016-06-24T00:00:00"}