On the product and ratio of Bessel random variables
The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY| and the ratio |X/Y| are derived when X and Y are independent Bessel function random variables. An application of the results is provi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2977 |
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| _version_ | 1832548748533694464 |
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| author | Saralees Nadarajah Arjun K. Gupta |
| author_facet | Saralees Nadarajah Arjun K. Gupta |
| author_sort | Saralees Nadarajah |
| collection | DOAJ |
| description | The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY| and the ratio |X/Y| are derived when X and Y are independent Bessel function random variables. An application of the results is provided by tabulating the associated percentage points. |
| format | Article |
| id | doaj-art-06fd3fd78fa0469994e8a48a0aeb8d2d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-06fd3fd78fa0469994e8a48a0aeb8d2d2025-02-03T06:13:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005182977298910.1155/IJMMS.2005.2977On the product and ratio of Bessel random variablesSaralees Nadarajah0Arjun K. Gupta1Department of Statistics, College of Arts and Sciences, University of Nebraska, Lincoln 68583-0712, NE, USADepartment of Mathematics and Statistics, College of Arts and Sciences, Bowling Green State University, Bowling Green 43403-0221, OH, USAThe distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY| and the ratio |X/Y| are derived when X and Y are independent Bessel function random variables. An application of the results is provided by tabulating the associated percentage points.http://dx.doi.org/10.1155/IJMMS.2005.2977 |
| spellingShingle | Saralees Nadarajah Arjun K. Gupta On the product and ratio of Bessel random variables International Journal of Mathematics and Mathematical Sciences |
| title | On the product and ratio of Bessel random variables |
| title_full | On the product and ratio of Bessel random variables |
| title_fullStr | On the product and ratio of Bessel random variables |
| title_full_unstemmed | On the product and ratio of Bessel random variables |
| title_short | On the product and ratio of Bessel random variables |
| title_sort | on the product and ratio of bessel random variables |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2977 |
| work_keys_str_mv | AT saraleesnadarajah ontheproductandratioofbesselrandomvariables AT arjunkgupta ontheproductandratioofbesselrandomvariables |