{"id":"https://openalex.org/W2552768213","doi":null,"title":"Information geometry of the power inverse Gaussian distribution","display_name":"Information geometry of the power inverse Gaussian distribution","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2552768213","mag":"2552768213"},"language":"en","primary_location":{"id":"mag:2552768213","doi":null,"is_oa":false,"landing_page_url":"https://www.emis.de/journals/APPS/v09/A09-ZH.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"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/A5059361518","display_name":"Zhenning Zhang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhenning Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082709045","display_name":"Huafei Sun","orcid":"https://orcid.org/0000-0002-5871-9961","observed_orcids":["https://orcid.org/0000-0002-5871-9961","https://orcid.org/0000-0001-8243-7887","https://orcid.org/0000-0003-2503-9297"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huafei Sun","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5871-9961","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102249460","display_name":"Fengwei Zhong","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fengwei Zhong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3016,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.59463098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"194","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.48019999265670776,"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":0.48019999265670776,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.39259999990463257,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.06120000034570694,"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/information-geometry","display_name":"information geometry","score":0.9829999804496765},{"id":"https://openalex.org/keywords/fisher-information-matrix","display_name":"Fisher information matrix","score":0.8059999942779541},{"id":"https://openalex.org/keywords/levi-civita-connection","display_name":"Levi-Civita connection","score":0.9210000038146973},{"id":"https://openalex.org/keywords/gaussian-curvature","display_name":"Gaussian curvature","score":0.9950000047683716},{"id":"https://openalex.org/keywords/dual-connections","display_name":"dual connections","score":0.515999972820282},{"id":"https://openalex.org/keywords/kullback-leibler-divergence","display_name":"Kullback-Leibler divergence","score":0.9679999947547913},{"id":"https://openalex.org/keywords/lifetime-distributions","display_name":"lifetime distributions","score":0.5640000104904175},{"id":"https://openalex.org/keywords/reliability-analysis","display_name":"reliability analysis","score":0.9760000109672546}],"concepts":[{"id":"https://openalex.org/C169391604","wikidata":"https://www.wikidata.org/wiki/Q7604402","display_name":"Statistical manifold","level":5,"score":0.6962554454803467},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.6756446361541748},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6725753545761108},{"id":"https://openalex.org/C18912344","wikidata":"https://www.wikidata.org/wiki/Q866810","display_name":"Generalized inverse Gaussian distribution","level":5,"score":0.5925323367118835},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5594155788421631},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5587913990020752},{"id":"https://openalex.org/C132878287","wikidata":"https://www.wikidata.org/wiki/Q1671727","display_name":"Inverse Gaussian distribution","level":3,"score":0.5403241515159607},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5252644419670105},{"id":"https://openalex.org/C16140857","wikidata":"https://www.wikidata.org/wiki/Q945953","display_name":"Gaussian curvature","level":3,"score":0.4827667772769928},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.4556690454483032},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.441742867231369},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4236559569835663},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.3769552409648895},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35573554039001465},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.34296169877052307},{"id":"https://openalex.org/C7218915","wikidata":"https://www.wikidata.org/wiki/Q1054475","display_name":"Gaussian function","level":3,"score":0.3322165012359619},{"id":"https://openalex.org/C51267290","wikidata":"https://www.wikidata.org/wiki/Q5527848","display_name":"Gaussian random field","level":4,"score":0.314495712518692},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.19915452599525452},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13451486825942993},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10751858353614807},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2552768213","doi":null,"is_oa":false,"landing_page_url":"https://www.emis.de/journals/APPS/v09/A09-ZH.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1520168181","https://openalex.org/W1573082642","https://openalex.org/W1984310676","https://openalex.org/W1994796137"],"related_works":["https://openalex.org/W1621314","https://openalex.org/W2189518032","https://openalex.org/W2378958989","https://openalex.org/W2583027501","https://openalex.org/W2357251106","https://openalex.org/W122459228","https://openalex.org/W3159124869","https://openalex.org/W174154882","https://openalex.org/W1510962608","https://openalex.org/W2554157835"],"abstract_inverted_index":{"The":[0],"power":[1,26,50,76],"inverse":[2,27,51,77],"Gaussian":[3,28,46,52,78],"distribution":[4],"is":[5],"a":[6],"common":[7],"distri-":[8],"bution":[9],"in":[10],"reliability":[11],"analysis":[12],"and":[13,63],"lifetime":[14],"models.":[15],"In":[16],"this":[17,61],"paper,":[18],"we":[19,37,55,70],"give":[20,71],"the":[21,25,31,39,49,57,65,75],"geometric":[22],"structures":[23],"of":[24,33,48,60],"manifold":[29,62,79],"from":[30,74],"viewpoint":[32],"information":[34],"geometry.":[35],"Firstly,":[36],"obtain":[38],"Fisher":[40],"infor-":[41],"mation":[42],"matrix,":[43],"Riemannian":[44],"connections,":[45],"curvature":[47],"manifold.":[53],"Then":[54],"consider":[56],"dual":[58],"structure":[59],"investigate":[64],"KullBack":[66],"divergence.":[67],"At":[68],"last":[69],"an":[72,81],"immersion":[73],"into":[80],"a-ne":[82],"space.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2016-11-30T00:00:00"}
