A Laplace type problem for regular lattices with circular section obstacles
In this paper, we compute the probability that a segment of random position and of constant length intersects a side of a regular lattice with circular sections obstacles. In particular, we obtain the formula of a probability already computed by Caristi and Stoka, as well as the formula of the Lapla...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Romanian National Institute of Statistics
2013-12-01
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| Series: | Revista Română de Statistică |
| Subjects: | |
| Online Access: | http://www.revistadestatistica.ro/wp-content/uploads/2014/01/RRS_11_2013_A4_en.pdf |
| _version_ | 1818379273439805440 |
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| author | D. Barilla A. Femino A. Puglisi E. Saitta B. Toader |
| author_facet | D. Barilla A. Femino A. Puglisi E. Saitta B. Toader |
| author_sort | D. Barilla |
| collection | DOAJ |
| description | In this paper, we compute the probability that a segment of random position and of constant length intersects a side of a regular lattice with circular sections obstacles. In particular, we obtain the formula of a probability already computed by Caristi and Stoka, as well as the formula of the Laplace probability. The results can be used for possible applications in economy and engineering, in particular for transportation problems. |
| first_indexed | 2024-12-14T02:00:10Z |
| format | Article |
| id | doaj.art-c31bbd7ad19941d987e5f62d7a10b771 |
| institution | Directory Open Access Journal |
| issn | 1018-046X 1844-7694 |
| language | English |
| last_indexed | 2024-12-14T02:00:10Z |
| publishDate | 2013-12-01 |
| publisher | Romanian National Institute of Statistics |
| record_format | Article |
| series | Revista Română de Statistică |
| spelling | doaj.art-c31bbd7ad19941d987e5f62d7a10b7712022-12-21T23:21:02ZengRomanian National Institute of StatisticsRevista Română de Statistică1018-046X1844-76942013-12-0161115360A Laplace type problem for regular lattices with circular section obstaclesD. Barilla0A. Femino1A. Puglisi2E. Saitta3B. Toader4Messina UniversityMessina UniversityMessina UniversityMessina UniversityUniversitatea Creştină “Dimitrie Cantemir”In this paper, we compute the probability that a segment of random position and of constant length intersects a side of a regular lattice with circular sections obstacles. In particular, we obtain the formula of a probability already computed by Caristi and Stoka, as well as the formula of the Laplace probability. The results can be used for possible applications in economy and engineering, in particular for transportation problems.http://www.revistadestatistica.ro/wp-content/uploads/2014/01/RRS_11_2013_A4_en.pdfgeometric probabilityintegral geometryrandom convex setsrandom setsstochastic geometry |
| spellingShingle | D. Barilla A. Femino A. Puglisi E. Saitta B. Toader A Laplace type problem for regular lattices with circular section obstacles Revista Română de Statistică geometric probability integral geometry random convex sets random sets stochastic geometry |
| title | A Laplace type problem for regular lattices with circular section obstacles |
| title_full | A Laplace type problem for regular lattices with circular section obstacles |
| title_fullStr | A Laplace type problem for regular lattices with circular section obstacles |
| title_full_unstemmed | A Laplace type problem for regular lattices with circular section obstacles |
| title_short | A Laplace type problem for regular lattices with circular section obstacles |
| title_sort | laplace type problem for regular lattices with circular section obstacles |
| topic | geometric probability integral geometry random convex sets random sets stochastic geometry |
| url | http://www.revistadestatistica.ro/wp-content/uploads/2014/01/RRS_11_2013_A4_en.pdf |
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