Institutional Repository
Technical University of Crete
Technical University of Crete
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/424ABCD7-CDA0-4151-9D26-10E2C443818F | - |
| Identifier | https://doi.org/10.1007/s11009-019-09699-4 | - |
| Identifier | https://link.springer.com/article/10.1007/s11009-019-09699-4 | - |
| Language | en | - |
| Extent | 11 pages | en |
| Extent | 1,3 megabytes | en |
| Title | The first exit time stochastic theory applied to estimate the life-time of a complicated system | en |
| Creator | Skiadas Christos | en |
| Creator | Σκιαδας Χρηστος | el |
| Creator | Skiadas, Charilaos | en |
| Publisher | Springer | en |
| Content Summary | We develop a first exit time methodology to model the life time process of a complicated system. We assume that the functionality level of a complicated system follows a stochastic process during time and the end of the functionality of the system comes when the functionality function reaches a zero level. After solving several technical details including the Fokker-Planck equation for the appropriate boundary conditions we estimate the transition probability density function and then the first exit time probability density of the functionality of the system reaching a barrier during time. The formula we arrive is essential for complicated system forms. A simpler case has the form called as Inverse Gaussian and was first proposed independently by Schrödinger and Smoluchowsky in the same journal issue (1915) to express the probability density of a simple first exit time process hitting a linear barrier. Applications to the health state of biological systems (the human population and the Mediterranean flies) and to the functionality life time of cars are done. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2021-04-15 | - |
| Date of Publication | 2020 | - |
| Subject | Hitting time | en |
| Subject | First exit time | en |
| Subject | Inverse Gaussian | en |
| Subject | Extended Inverse Gaussian | en |
| Subject | First order approximation | en |
| Subject | Second order approximation | en |
| Subject | Fractional derivatives | en |
| Subject | Complicated systems | en |
| Subject | Human populations | en |
| Subject | Health state | en |
| Subject | Health state model | en |
| Subject | Death probability density | en |
| Subject | Car functional state | en |
| Bibliographic Citation | C. H. Skiadas and C. Skiadas, “The first exit time stochastic theory applied to estimate the life-time of a complicated system”, Methodol. Comput. Appl. Probab., vol. 22, no. 4, pp. 1601–1611, Dec. 2020. doi: 10.1007/s11009-019-09699-4 | en |
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