{"id":"https://openalex.org/W7212027563","doi":"https://doi.org/10.48550/arxiv.2609.08889","title":"On Weighted Mathai-Haubold Entropy Measures","display_name":"On Weighted Mathai-Haubold Entropy Measures","publication_year":2026,"publication_date":"2026-09-08","ids":{"openalex":"https://openalex.org/W7212027563","doi":"https://doi.org/10.48550/arxiv.2609.08889"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.08889","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08889","pdf_url":"https://arxiv.org/pdf/2609.08889","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.08889","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5094249148","display_name":"Oindrali Das","orcid":"https://orcid.org/0009-0000-2443-1751","observed_orcids":["https://orcid.org/0009-0000-2443-1751"]},"institutions":[{"id":"https://openalex.org/I4405277907","display_name":"Ranaghat College","ror":"https://ror.org/049ab6j28","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405277907"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Das, Oindrali","raw_affiliation_strings":["Department of Statistics , Ranaghat College , Nadia , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics , Ranaghat College , Nadia , India","institution_ids":["https://openalex.org/I4405277907"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031676084","display_name":"Siddhartha Chakraborty","orcid":"https://orcid.org/0000-0002-2437-8396","observed_orcids":["https://orcid.org/0000-0002-2437-8396"]},"institutions":[{"id":"https://openalex.org/I77501641","display_name":"University of Kalyani","ror":"https://ror.org/03v783k16","country_code":"IN","type":"education","lineage":["https://openalex.org/I77501641"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chakraborty, Siddhartha","raw_affiliation_strings":["Department of Statistics , University of Kalyani , Nadia , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics , University of Kalyani , Nadia , India","institution_ids":["https://openalex.org/I77501641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9218999743461609,"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":0.9218999743461609,"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":0.05050000175833702,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.00419999985024333,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/weighted-entropy","display_name":"weighted entropy","score":0.7300000190734863},{"id":"https://openalex.org/keywords/residual-entropy","display_name":"residual entropy","score":0.9860000014305115},{"id":"https://openalex.org/keywords/aging-classes","display_name":"aging classes","score":0.9570000171661377},{"id":"https://openalex.org/keywords/entropy-inequality","display_name":"entropy inequality","score":0.8500000238418579},{"id":"https://openalex.org/keywords/bias-and-mean-squared-error","display_name":"bias and mean squared error","score":0.8360000252723694}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7810999751091003},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7210000157356262},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6924999952316284},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6057999730110168},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.511900007724762},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.4964999854564667},{"id":"https://openalex.org/C97785096","wikidata":"https://www.wikidata.org/wiki/Q771478","display_name":"Residual entropy","level":3,"score":0.4803999960422516},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37279999256134033},{"id":"https://openalex.org/C106752470","wikidata":"https://www.wikidata.org/wiki/Q1364826","display_name":"Joint entropy","level":3,"score":0.36469998955726624},{"id":"https://openalex.org/C9490382","wikidata":"https://www.wikidata.org/wiki/Q729113","display_name":"Weighted arithmetic mean","level":2,"score":0.3034000098705292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30000001192092896},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C167085575","wikidata":"https://www.wikidata.org/wiki/Q6803654","display_name":"Mean squared prediction error","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C2988709989","wikidata":"https://www.wikidata.org/wiki/Q85784623","display_name":"Mean square","level":2,"score":0.28700000047683716},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C182049051","wikidata":"https://www.wikidata.org/wiki/Q17147155","display_name":"Transfer entropy","level":3,"score":0.27149999141693115},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.26660001277923584},{"id":"https://openalex.org/C95546049","wikidata":"https://www.wikidata.org/wiki/Q1345207","display_name":"Entropy estimation","level":3,"score":0.26600000262260437}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.08889","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08889","pdf_url":"https://arxiv.org/pdf/2609.08889","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.08889","doi":"https://doi.org/10.48550/arxiv.2609.08889","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.08889","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.08889","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.08889","pdf_url":"https://arxiv.org/pdf/2609.08889","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212027563.pdf","grobid_xml":"https://content.openalex.org/works/W7212027563.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4393190366","https://openalex.org/W3172107173","https://openalex.org/W7204564907","https://openalex.org/W2946591420","https://openalex.org/W2945362534","https://openalex.org/W7212354347","https://openalex.org/W2915040396","https://openalex.org/W3190227698","https://openalex.org/W3080861962","https://openalex.org/W2883468290"],"abstract_inverted_index":{"In":[0],"this":[1,59],"paper,":[2],"we":[3],"propose":[4],"weighted":[5,26],"Mathai-Haubold":[6,27],"entropy":[7,31],"along":[8],"with":[9],"their":[10,17,53],"residual":[11,28],"and":[12,15,29,52,67],"past":[13,30],"versions":[14],"study":[16],"properties.":[18],"We":[19],"develop":[20],"aging":[21],"classes":[22],"based":[23],"on":[24],"the":[25,38,47],"measures.":[32],"Also,":[33],"some":[34],"inequalities":[35],"related":[36],"to":[37],"three":[39],"proposed":[40,48],"measures":[41,49],"are":[42,50,55],"discussed.":[43],"Non-parametric":[44],"estimators":[45],"of":[46,58,65],"introduced":[51],"properties":[54],"investigated.":[56],"Performance":[57],"estimator":[60],"is":[61],"evaluated":[62],"by":[63],"means":[64],"bias":[66],"mean":[68],"squared":[69],"error":[70],"using":[71],"Monte-Carlo":[72],"simulations.":[73]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-10T00:00:00"}
