On the product and ratio of Laplace and 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 Laplace and Bessel function random variables distributed independently of each other...
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Format: | Article |
Language: | English |
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Wiley
2005-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/JAM.2005.393 |
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author | Saralees Nadarajah |
author_facet | Saralees Nadarajah |
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 Laplace and Bessel function
random variables distributed independently of each other. |
format | Article |
id | doaj-art-4be813b380714087ac124781174df03f |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2005-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-4be813b380714087ac124781174df03f2025-02-03T01:02:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-012005439340210.1155/JAM.2005.393On the product and ratio of Laplace and Bessel random variablesSaralees Nadarajah0Department of Statistics, University of Nebraska, Lincoln 68583, NE, 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 Laplace and Bessel function random variables distributed independently of each other.http://dx.doi.org/10.1155/JAM.2005.393 |
spellingShingle | Saralees Nadarajah On the product and ratio of Laplace and Bessel random variables Journal of Applied Mathematics |
title | On the product and ratio of Laplace and Bessel random variables |
title_full | On the product and ratio of Laplace and Bessel random variables |
title_fullStr | On the product and ratio of Laplace and Bessel random variables |
title_full_unstemmed | On the product and ratio of Laplace and Bessel random variables |
title_short | On the product and ratio of Laplace and Bessel random variables |
title_sort | on the product and ratio of laplace and bessel random variables |
url | http://dx.doi.org/10.1155/JAM.2005.393 |
work_keys_str_mv | AT saraleesnadarajah ontheproductandratiooflaplaceandbesselrandomvariables |