{"id":"https://openalex.org/W4381663174","doi":"https://doi.org/10.59170/stattrans-2023-047","title":"Bayesian estimation of a geometric distribution using informative priors based on a Type-I censoring scheme","display_name":"Bayesian estimation of a geometric distribution using informative priors based on a Type-I censoring scheme","publication_year":2023,"publication_date":"2023-06-13","ids":{"openalex":"https://openalex.org/W4381663174","doi":"https://doi.org/10.59170/stattrans-2023-047"},"language":"en","primary_location":{"id":"doi:10.59170/stattrans-2023-047","doi":"https://doi.org/10.59170/stattrans-2023-047","is_oa":true,"landing_page_url":"http://dx.doi.org/10.59170/stattrans-2023-047","pdf_url":"http://sit.stat.gov.pl/SiT/2023/3/gus_sit_2023_02_nadeem_akhtar_sajjad_ahamad_khan_muhammad_amin_akbar_ali_khan_amjad_ali_sadaf_manzoor_bayesian_estimation_of_a_geometric_distribution.pdf?v=2","source":{"id":"https://openalex.org/S2914179669","display_name":"Statistics in Transition New Series","issn_l":"1234-7655","issn":["1234-7655","2450-0291"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","poland-70","russia-white-list-4"],"host_organization":"https://openalex.org/P4310315546","host_organization_name":"Exeley Inc","host_organization_lineage":["https://openalex.org/P4310315546"],"host_organization_lineage_names":["Exeley Inc"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in Transition new series","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4381663174"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://sit.stat.gov.pl/SiT/2023/3/gus_sit_2023_02_nadeem_akhtar_sajjad_ahamad_khan_muhammad_amin_akbar_ali_khan_amjad_ali_sadaf_manzoor_bayesian_estimation_of_a_geometric_distribution.pdf?v=2","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101665064","display_name":"Nadeem Akhtar","orcid":"https://orcid.org/0000-0002-2169-5185","observed_orcids":["https://orcid.org/0000-0002-2169-5185"]},"institutions":[{"id":"https://openalex.org/I206573129","display_name":"Islamia College University","ror":"https://ror.org/02p2c1595","country_code":"PK","type":"education","lineage":["https://openalex.org/I206573129"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Nadeem Akhtar","raw_affiliation_strings":["Department of Statistics Islamia College Peshawar, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-2169-5185","affiliations":[{"raw_affiliation_string":"Department of Statistics Islamia College Peshawar, Pakistan","institution_ids":["https://openalex.org/I206573129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082652631","display_name":"Sajjad Ahmad Khan","orcid":"https://orcid.org/0000-0001-6630-7222","observed_orcids":["https://orcid.org/0000-0001-6630-7222"]},"institutions":[{"id":"https://openalex.org/I206573129","display_name":"Islamia College University","ror":"https://ror.org/02p2c1595","country_code":"PK","type":"education","lineage":["https://openalex.org/I206573129"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Sajjad Ahamad Khan","raw_affiliation_strings":["Department of Statistics Islamia College Peshawar, Pakistan"],"raw_orcid":"https://orcid.org/0000-0001-6630-7222","affiliations":[{"raw_affiliation_string":"Department of Statistics Islamia College Peshawar, Pakistan","institution_ids":["https://openalex.org/I206573129"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100761565","display_name":"Muhammad Amin","orcid":"https://orcid.org/0000-0002-7431-5756","observed_orcids":["https://orcid.org/0000-0002-7431-5756"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Muhammad Amin","raw_affiliation_strings":["Nuclear Institute for Food and Agriculture (NIFA), Peshawar, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nuclear Institute for Food and Agriculture (NIFA), Peshawar, Pakistan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101524303","display_name":"Akbar Ali Khan","orcid":"https://orcid.org/0000-0001-7743-5940","observed_orcids":["https://orcid.org/0000-0001-7743-5940"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akbar Ali Khan","raw_affiliation_strings":["Government Postgraduate College, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Government Postgraduate College, Pakistan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102954510","display_name":"Amjad Ali","orcid":"https://orcid.org/0000-0001-8048-9093","observed_orcids":["https://orcid.org/0000-0001-8048-9093"]},"institutions":[{"id":"https://openalex.org/I206573129","display_name":"Islamia College University","ror":"https://ror.org/02p2c1595","country_code":"PK","type":"education","lineage":["https://openalex.org/I206573129"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Amjad Ali","raw_affiliation_strings":["Department of Statistics Islamia College Peshawar, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics Islamia College Peshawar, Pakistan","institution_ids":["https://openalex.org/I206573129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033692386","display_name":"Sadaf Manzoor","orcid":"https://orcid.org/0000-0002-9575-5064","observed_orcids":["https://orcid.org/0000-0002-9575-5064"]},"institutions":[{"id":"https://openalex.org/I206573129","display_name":"Islamia College University","ror":"https://ror.org/02p2c1595","country_code":"PK","type":"education","lineage":["https://openalex.org/I206573129"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Sadaf Manzoor","raw_affiliation_strings":["Department of Statistics Islamia College Peshawar, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics Islamia College Peshawar, Pakistan","institution_ids":["https://openalex.org/I206573129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082652631"],"corresponding_institution_ids":["https://openalex.org/I206573129"],"apc_list":null,"apc_paid":null,"fwci":0.2977,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.47974537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"24","issue":"3","first_page":"257","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":9.999999747378752e-05,"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":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geometric-distribution","display_name":"geometric distribution","score":0.9829999804496765},{"id":"https://openalex.org/keywords/bayesian-estimation","display_name":"Bayesian estimation","score":0.9340000152587891},{"id":"https://openalex.org/keywords/type-i-censoring","display_name":"type I censoring","score":0.8539999723434448},{"id":"https://openalex.org/keywords/informative-priors","display_name":"informative priors","score":0.9520000219345093},{"id":"https://openalex.org/keywords/beta-prior","display_name":"beta prior","score":0.9580000042915344},{"id":"https://openalex.org/keywords/loss-functions","display_name":"loss functions","score":0.8149999976158142},{"id":"https://openalex.org/keywords/bayes-risk","display_name":"Bayes risk","score":0.8370000123977661},{"id":"https://openalex.org/keywords/precautionary-loss-function","display_name":"precautionary loss function","score":0.777999997138977},{"id":"https://openalex.org/keywords/squared-error-loss","display_name":"squared error loss","score":0.6029999852180481},{"id":"https://openalex.org/keywords/asymmetric-loss-functions","display_name":"asymmetric loss functions","score":0.4480000138282776}],"concepts":[{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.8730303049087524},{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.7651737928390503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6886095404624939},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.6547530889511108},{"id":"https://openalex.org/C68022304","wikidata":"https://www.wikidata.org/wiki/Q842217","display_name":"Bayes estimator","level":3,"score":0.6419411897659302},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5986302495002747},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5321981310844421},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.5180245041847229},{"id":"https://openalex.org/C142291917","wikidata":"https://www.wikidata.org/wiki/Q4165283","display_name":"Bayes factor","level":4,"score":0.4866383969783783},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41067782044410706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3509516716003418},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.59170/stattrans-2023-047","doi":"https://doi.org/10.59170/stattrans-2023-047","is_oa":true,"landing_page_url":"http://dx.doi.org/10.59170/stattrans-2023-047","pdf_url":"http://sit.stat.gov.pl/SiT/2023/3/gus_sit_2023_02_nadeem_akhtar_sajjad_ahamad_khan_muhammad_amin_akbar_ali_khan_amjad_ali_sadaf_manzoor_bayesian_estimation_of_a_geometric_distribution.pdf?v=2","source":{"id":"https://openalex.org/S2914179669","display_name":"Statistics in Transition New Series","issn_l":"1234-7655","issn":["1234-7655","2450-0291"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","poland-70","russia-white-list-4"],"host_organization":"https://openalex.org/P4310315546","host_organization_name":"Exeley Inc","host_organization_lineage":["https://openalex.org/P4310315546"],"host_organization_lineage_names":["Exeley Inc"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in Transition new series","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.59170/stattrans-2023-047","doi":"https://doi.org/10.59170/stattrans-2023-047","is_oa":true,"landing_page_url":"http://dx.doi.org/10.59170/stattrans-2023-047","pdf_url":"http://sit.stat.gov.pl/SiT/2023/3/gus_sit_2023_02_nadeem_akhtar_sajjad_ahamad_khan_muhammad_amin_akbar_ali_khan_amjad_ali_sadaf_manzoor_bayesian_estimation_of_a_geometric_distribution.pdf?v=2","source":{"id":"https://openalex.org/S2914179669","display_name":"Statistics in Transition New Series","issn_l":"1234-7655","issn":["1234-7655","2450-0291"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","poland-70","russia-white-list-4"],"host_organization":"https://openalex.org/P4310315546","host_organization_name":"Exeley Inc","host_organization_lineage":["https://openalex.org/P4310315546"],"host_organization_lineage_names":["Exeley Inc"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Statistics in Transition new series","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4381663174.pdf","grobid_xml":"https://content.openalex.org/works/W4381663174.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2072129940","https://openalex.org/W2189022855","https://openalex.org/W2332640290","https://openalex.org/W2590854106","https://openalex.org/W2964811814","https://openalex.org/W2986192262","https://openalex.org/W3013257680","https://openalex.org/W3177024754","https://openalex.org/W3214376115"],"related_works":["https://openalex.org/W4364357397","https://openalex.org/W2367598388","https://openalex.org/W2044869542","https://openalex.org/W2380930765","https://openalex.org/W4396921881","https://openalex.org/W4404322423","https://openalex.org/W2044593951","https://openalex.org/W2374440105","https://openalex.org/W1485204110","https://openalex.org/W3030225225"],"abstract_inverted_index":{"In":[0],"this":[1,36],"paper,":[2],"the":[3,17,48,54,59,64,72,78,111],"geometric":[4],"distribution":[5],"parameter":[6],"is":[7,107],"estimated":[8],"under":[9,47],"a":[10,103],"type-I":[11],"censoring":[12],"scheme":[13],"by":[14],"means":[15],"of":[16,39],"Bayesian":[18],"estimation":[19],"approach.":[20],"The":[21,82],"Beta":[22],"and":[23,42,71],"Kumaraswamy":[24],"informative":[25],"priors,":[26],"as":[27,29],"well":[28],"five":[30],"loss":[31],"functions":[32],"are":[33,45,85,93],"used":[34,108],"for":[35],"purpose.":[37],"Expressions":[38],"Bayes":[40,43,100],"estimators":[41],"risks":[44],"derived":[46],"Squared":[49],"Error":[50],"Loss":[51,56,61,68,74],"Function":[52,57,62,69,75],"(SELF),":[53],"Quadratic":[55],"(QLF),":[58],"Precautionary":[60,67],"(PLF),":[63],"Simple":[65],"Asymmetric":[66],"(SAPLF),":[70],"DeGroot":[73],"(DLF)":[76],"using":[77,99],"two":[79],"aforementioned":[80],"priors.":[81],"prior":[83,88],"densities":[84],"obtained":[86],"through":[87],"predictive":[89],"distributions.":[90],"Simulation":[91],"studies":[92],"carried":[94],"out":[95],"to":[96,109],"make":[97],"comparisons":[98],"risks.":[101],"Finally,":[102],"real-life":[104],"data":[105],"example":[106],"verify":[110],"model\u2019s":[112],"efficiency.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-06-23T00:00:00"}
