Recurrent methods of construction of cumulative functions of risk
The estimation problem of the enterprise total losses related to the improper performance of liability is considered. The total losses distribution function and density for the aggregate contracts are constructed by the recurrent methods, proposed by N. de Pril and H. Panjer. The numerical experimen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20909/17169 |
| _version_ | 1818024584396406784 |
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| author | Viktor N Nikishov Elena V Mikhailova |
| author_facet | Viktor N Nikishov Elena V Mikhailova |
| author_sort | Viktor N Nikishov |
| collection | DOAJ |
| description | The estimation problem of the enterprise total losses related to the improper performance of liability is considered. The total losses distribution function and density for the aggregate contracts are constructed by the recurrent methods, proposed by N. de Pril and H. Panjer. The numerical experiments based on five groups of contract portfolio are carried out. The results analysis showing the advantages and disadvantages of calculating algorithms is made. In particular, the values of means at risk obtained by H. Panjer method are superior to the corresponding values founded by N. de Pril method, and the maximum value of loss occurrence probability in the distribution density realized by H. Panjer method is less than the one, gotten by N. de Pril method. The results can be used for the further development of N. de Pril and H. Panjer approaches for estimation of total losses of risk aggregate. |
| first_indexed | 2024-12-10T04:02:32Z |
| format | Article |
| id | doaj.art-792f61ccde484d90909112fa850875d4 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T04:02:32Z |
| publishDate | 2012-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-792f61ccde484d90909112fa850875d42022-12-22T02:02:57ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-06-0116214415118326Recurrent methods of construction of cumulative functions of riskViktor N Nikishov0Elena V Mikhailova1Samara State UniversitySamara State UniversityThe estimation problem of the enterprise total losses related to the improper performance of liability is considered. The total losses distribution function and density for the aggregate contracts are constructed by the recurrent methods, proposed by N. de Pril and H. Panjer. The numerical experiments based on five groups of contract portfolio are carried out. The results analysis showing the advantages and disadvantages of calculating algorithms is made. In particular, the values of means at risk obtained by H. Panjer method are superior to the corresponding values founded by N. de Pril method, and the maximum value of loss occurrence probability in the distribution density realized by H. Panjer method is less than the one, gotten by N. de Pril method. The results can be used for the further development of N. de Pril and H. Panjer approaches for estimation of total losses of risk aggregate.https://journals.eco-vector.com/1991-8615/article/viewFile/20909/17169total lossrecurrent methodscumulative functions of risk |
| spellingShingle | Viktor N Nikishov Elena V Mikhailova Recurrent methods of construction of cumulative functions of risk Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki total loss recurrent methods cumulative functions of risk |
| title | Recurrent methods of construction of cumulative functions of risk |
| title_full | Recurrent methods of construction of cumulative functions of risk |
| title_fullStr | Recurrent methods of construction of cumulative functions of risk |
| title_full_unstemmed | Recurrent methods of construction of cumulative functions of risk |
| title_short | Recurrent methods of construction of cumulative functions of risk |
| title_sort | recurrent methods of construction of cumulative functions of risk |
| topic | total loss recurrent methods cumulative functions of risk |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20909/17169 |
| work_keys_str_mv | AT viktornnikishov recurrentmethodsofconstructionofcumulativefunctionsofrisk AT elenavmikhailova recurrentmethodsofconstructionofcumulativefunctionsofrisk |