Asymptotics for the Solutions to Defective Renewal Equations
This paper investigates the defective renewal equations under the nonconvolution equivalent distribution class. The asymptotics of the solution to the defective renewal equations have been given for the heavy-tailed and light-tailed cases, respectively.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/732735 |
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| _version_ | 1832551341428310016 |
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| author | Kaiyong Wang Yang Chen Zhongquan Tan |
| author_facet | Kaiyong Wang Yang Chen Zhongquan Tan |
| author_sort | Kaiyong Wang |
| collection | DOAJ |
| description | This paper investigates the defective renewal equations under the nonconvolution equivalent distribution class. The asymptotics of the solution to the defective renewal equations have been given for the heavy-tailed and light-tailed cases, respectively. |
| format | Article |
| id | doaj-art-e0e9a622152244ca94a8afdde13b5e8b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e0e9a622152244ca94a8afdde13b5e8b2025-02-03T06:01:44ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/732735732735Asymptotics for the Solutions to Defective Renewal EquationsKaiyong Wang0Yang Chen1Zhongquan Tan2School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, ChinaSchool of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314001, ChinaThis paper investigates the defective renewal equations under the nonconvolution equivalent distribution class. The asymptotics of the solution to the defective renewal equations have been given for the heavy-tailed and light-tailed cases, respectively.http://dx.doi.org/10.1155/2014/732735 |
| spellingShingle | Kaiyong Wang Yang Chen Zhongquan Tan Asymptotics for the Solutions to Defective Renewal Equations Abstract and Applied Analysis |
| title | Asymptotics for the Solutions to Defective Renewal Equations |
| title_full | Asymptotics for the Solutions to Defective Renewal Equations |
| title_fullStr | Asymptotics for the Solutions to Defective Renewal Equations |
| title_full_unstemmed | Asymptotics for the Solutions to Defective Renewal Equations |
| title_short | Asymptotics for the Solutions to Defective Renewal Equations |
| title_sort | asymptotics for the solutions to defective renewal equations |
| url | http://dx.doi.org/10.1155/2014/732735 |
| work_keys_str_mv | AT kaiyongwang asymptoticsforthesolutionstodefectiverenewalequations AT yangchen asymptoticsforthesolutionstodefectiverenewalequations AT zhongquantan asymptoticsforthesolutionstodefectiverenewalequations |