{"id":"https://openalex.org/W4412197189","doi":"https://doi.org/10.3390/axioms14070529","title":"Wrapping Generalized Laplace and Generalized Discrete Laplace Distributions","display_name":"Wrapping Generalized Laplace and Generalized Discrete Laplace Distributions","publication_year":2025,"publication_date":"2025-07-11","ids":{"openalex":"https://openalex.org/W4412197189","doi":"https://doi.org/10.3390/axioms14070529"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14070529","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070529","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14070529","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012280723","display_name":"Barry C. Arnold","orcid":"https://orcid.org/0000-0001-6952-2075"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Barry C. Arnold","raw_affiliation_strings":["Department of Statistics, University of California, Riverside, CA 92521, USA"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of California, Riverside, CA 92521, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079980362","display_name":"Ashis SenGupta","orcid":"https://orcid.org/0000-0002-4766-5865"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ashis SenGupta","raw_affiliation_strings":["Indian Statistical Institute, Kolkata 700108, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute, Kolkata 700108, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5012280723"],"corresponding_institution_ids":["https://openalex.org/I103635307"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18245635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"7","first_page":"529","last_page":"529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9251999855041504,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9251999855041504,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.8298542499542236},{"id":"https://openalex.org/keywords/laplace-distribution","display_name":"Laplace distribution","score":0.6205055117607117},{"id":"https://openalex.org/keywords/greens-function-for-the-three-variable-laplace-equation","display_name":"Green's function for the three-variable Laplace equation","score":0.5206060409545898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4972069561481476},{"id":"https://openalex.org/keywords/posts-inversion-formula","display_name":"Post's inversion formula","score":0.46345847845077515},{"id":"https://openalex.org/keywords/laplace\u2013stieltjes-transform","display_name":"Laplace\u2013Stieltjes transform","score":0.46167775988578796},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44904837012290955},{"id":"https://openalex.org/keywords/laplaces-method","display_name":"Laplace's method","score":0.42200490832328796},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3898193836212158},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"Inverse Laplace transform","score":0.3871801793575287},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3590127229690552},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08275920152664185},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.054406315088272095}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.8298542499542236},{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.6205055117607117},{"id":"https://openalex.org/C208067445","wikidata":"https://www.wikidata.org/wiki/Q5602166","display_name":"Green's function for the three-variable Laplace equation","level":4,"score":0.5206060409545898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4972069561481476},{"id":"https://openalex.org/C119200878","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Post's inversion formula","level":5,"score":0.46345847845077515},{"id":"https://openalex.org/C141255357","wikidata":"https://www.wikidata.org/wiki/Q3997728","display_name":"Laplace\u2013Stieltjes transform","level":5,"score":0.46167775988578796},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44904837012290955},{"id":"https://openalex.org/C22243797","wikidata":"https://www.wikidata.org/wiki/Q2058297","display_name":"Laplace's method","level":3,"score":0.42200490832328796},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3898193836212158},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.3871801793575287},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3590127229690552},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08275920152664185},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.054406315088272095},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14070529","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070529","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:15ea6a8b732840039a528d9346920543","is_oa":true,"landing_page_url":"https://doaj.org/article/15ea6a8b732840039a528d9346920543","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 7, p 529 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14070529","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14070529","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W118517186","https://openalex.org/W1568621370","https://openalex.org/W1999801651","https://openalex.org/W2004276209","https://openalex.org/W2014848196","https://openalex.org/W2046220546","https://openalex.org/W2049789557","https://openalex.org/W2090705120","https://openalex.org/W2109863430","https://openalex.org/W2113184252","https://openalex.org/W2313543494","https://openalex.org/W2342540942","https://openalex.org/W2565277564","https://openalex.org/W2809944416","https://openalex.org/W2899246843","https://openalex.org/W3199542694","https://openalex.org/W4205685375","https://openalex.org/W4386608343","https://openalex.org/W4388453670","https://openalex.org/W4388861201","https://openalex.org/W6652317650"],"related_works":["https://openalex.org/W4249378754","https://openalex.org/W2006787795","https://openalex.org/W3022275705","https://openalex.org/W193874820","https://openalex.org/W3021788336","https://openalex.org/W1978427337","https://openalex.org/W4248744979","https://openalex.org/W3126199408","https://openalex.org/W4239872379","https://openalex.org/W2072030464"],"abstract_inverted_index":{"Generalized":[0],"Laplace":[1,5],"and":[2,9,47],"discrete":[3],"generalized":[4],"models":[6,66,84],"are":[7,14,67],"described":[8],"some":[10,71],"of":[11,19,29,57,64,73,76,82],"their":[12],"properties":[13],"reviewed.":[15],"For":[16],"the":[17,36,55,74,83],"analysis":[18],"directional":[20],"data,":[21],"it":[22],"is":[23],"natural":[24],"to":[25,52],"consider":[26],"wrapped":[27,59],"versions":[28,81],"these":[30,58,65],"models.":[31,60,79],"A":[32],"well-known":[33],"result":[34],"for":[35,41],"circular":[37,43],"and,":[38],"more":[39],"recently,":[40],"multivariate":[42],"distributions":[44],"that":[45],"mixing":[46],"wrapping":[48,77],"commute,":[49],"allows":[50],"us":[51],"readily":[53],"determine":[54],"nature":[56],"Some":[61],"bivariate":[62],"extensions":[63],"discussed,":[68],"together":[69],"with":[70],"consideration":[72],"feasibility":[75],"such":[78],"Multivariate":[80],"can":[85],"be":[86],"envisioned.":[87]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}