{"id":"https://openalex.org/W284028811","doi":"https://doi.org/10.1007/978-81-322-1952-1_20","title":"Inverting the Transforms Arising in the $$GI/M/1$$ Risk Process Using Roots","display_name":"Inverting the Transforms Arising in the $$GI/M/1$$ Risk Process Using Roots","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W284028811","doi":"https://doi.org/10.1007/978-81-322-1952-1_20","mag":"284028811"},"language":"en","primary_location":{"id":"doi:10.1007/978-81-322-1952-1_20","doi":"https://doi.org/10.1007/978-81-322-1952-1_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-81-322-1952-1_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics &amp; Statistics","raw_type":"book-chapter"},"parent_works":[{"id":"https://openalex.org/W2484751293","display_name":"Mathematics and Computing 2013: International Conference in Haldia, India","relationship":"volume"}],"lineage":["https://openalex.org/W284028811","https://openalex.org/W2484751293"],"child_works_count":0,"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"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/A5088359534","display_name":"Gopinath Panda","orcid":"https://orcid.org/0000-0001-7751-4315","observed_orcids":["https://orcid.org/0000-0001-7751-4315"]},"institutions":[{"id":"https://openalex.org/I99729588","display_name":"Indian Institute of Technology Bhubaneswar","ror":"https://ror.org/04gx72j20","country_code":"IN","type":"education","lineage":["https://openalex.org/I99729588"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Gopinath Panda","raw_affiliation_strings":["School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, 751007, India","School of Basic Sciences, Indian Institute of Technology Bhubaneswar Bhubaneswar, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, 751007, India","institution_ids":["https://openalex.org/I99729588"]},{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Bhubaneswar Bhubaneswar, India","institution_ids":["https://openalex.org/I99729588"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035112567","display_name":"A. D. Banik","orcid":"https://orcid.org/0000-0003-1570-8389","observed_orcids":["https://orcid.org/0000-0003-1570-8389"]},"institutions":[{"id":"https://openalex.org/I99729588","display_name":"Indian Institute of Technology Bhubaneswar","ror":"https://ror.org/04gx72j20","country_code":"IN","type":"education","lineage":["https://openalex.org/I99729588"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"A. D. Banik","raw_affiliation_strings":["School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, 751007, India","School of Basic Sciences, Indian Institute of Technology Bhubaneswar Bhubaneswar, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar, 751007, India","institution_ids":["https://openalex.org/I99729588"]},{"raw_affiliation_string":"School of Basic Sciences, Indian Institute of Technology Bhubaneswar Bhubaneswar, India","institution_ids":["https://openalex.org/I99729588"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024142582","display_name":"M. L. Chaudhry","orcid":"https://orcid.org/0000-0003-0165-114X","observed_orcids":["https://orcid.org/0000-0003-0165-114X"]},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. L. Chaudhry","raw_affiliation_strings":["Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON, K7K 7B4, Canada","Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON, K7K 7B4, Canada","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada;","institution_ids":["https://openalex.org/I51768193"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035112567"],"corresponding_institution_ids":["https://openalex.org/I99729588"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"297","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":1.0,"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"}},{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","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"}}],"keywords":[{"id":"https://openalex.org/keywords/renewal-risk-model","display_name":"renewal risk model","score":0.8759999871253967},{"id":"https://openalex.org/keywords/ultimate-ruin-probability","display_name":"ultimate ruin probability","score":0.8669999837875366},{"id":"https://openalex.org/keywords/time-to-ruin","display_name":"time to ruin","score":0.8360000252723694},{"id":"https://openalex.org/keywords/deficit-at-ruin","display_name":"deficit at ruin","score":0.8709999918937683},{"id":"https://openalex.org/keywords/insurance-risk-theory","display_name":"insurance risk theory","score":0.47200000286102295},{"id":"https://openalex.org/keywords/polynomial-roots","display_name":"polynomial roots","score":0.45100000500679016}],"concepts":[{"id":"https://openalex.org/C29859451","wikidata":"https://www.wikidata.org/wiki/Q17082609","display_name":"Ruin theory","level":3,"score":0.878015398979187},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.8662868142127991},{"id":"https://openalex.org/C110507122","wikidata":"https://www.wikidata.org/wiki/Q1356856","display_name":"Renewal theory","level":2,"score":0.6689803600311279},{"id":"https://openalex.org/C2986432223","wikidata":"https://www.wikidata.org/wiki/Q5449740","display_name":"Risk model","level":2,"score":0.6499212980270386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6342148184776306},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5455940365791321},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.5311364531517029},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4866638779640198},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4828115403652191},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.48038607835769653},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.46526575088500977},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.42111027240753174},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4202501177787781},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2799619138240814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24015504121780396},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20816731452941895},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-81-322-1952-1_20","doi":"https://doi.org/10.1007/978-81-322-1952-1_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-81-322-1952-1_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210180650","display_name":"Springer proceedings in mathematics & statistics","issn_l":"2194-1009","issn":["2194-1009","2194-1017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Proceedings in Mathematics &amp; Statistics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1980843701","https://openalex.org/W1986927323","https://openalex.org/W1991375530","https://openalex.org/W1997277199","https://openalex.org/W1998420237","https://openalex.org/W2058280335","https://openalex.org/W2063143196","https://openalex.org/W2063763878","https://openalex.org/W4232729308"],"related_works":["https://openalex.org/W2796003845","https://openalex.org/W2076097225","https://openalex.org/W2023036609","https://openalex.org/W2063143196","https://openalex.org/W1584036441","https://openalex.org/W2379707540","https://openalex.org/W4392839123","https://openalex.org/W2374483097","https://openalex.org/W2368580144","https://openalex.org/W2032313259"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}
