Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications
In this work, a new bivariate inverted Nakagami distribution that can be used to model real-world datasets has been investigated. The newly developed bivariate distribution’s cumulative distribution function and probability density function are defined. The bivariate distribution derives from the Fa...
| Main Authors: | , , , , , , , |
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| Format: | Book Chapter |
| Language: | English |
| Published: |
IntechOpen
2023
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/39389/ http://umpir.ump.edu.my/id/eprint/39389/1/Book%20Chapter%20Perspective%20Chapter%20A%20New%20Bivariate%20Inverted%20Nakagami%20Distribution%20-%20Properties%20and%20Applications%20%28Intech%20Open%29.pdf |
| _version_ | 1848825755237089280 |
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| author | Aliyu, Ismail Ishaq Usman, Abubakar Suleiman, Ahmad Abubakar Othman, Mahmod Hanita, Daud Sokkalingam, Rajalingam Panitanarak, Uthumporn Muhammad Azrin, Ahmad |
| author_facet | Aliyu, Ismail Ishaq Usman, Abubakar Suleiman, Ahmad Abubakar Othman, Mahmod Hanita, Daud Sokkalingam, Rajalingam Panitanarak, Uthumporn Muhammad Azrin, Ahmad |
| author_sort | Aliyu, Ismail Ishaq |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In this work, a new bivariate inverted Nakagami distribution that can be used to model real-world datasets has been investigated. The newly developed bivariate distribution’s cumulative distribution function and probability density function are defined. The bivariate distribution derives from the Farlie Gumbel Morgenstern, and the marginal density functions are also determined. Some fundamental estimation techniques, such as maximum-likelihood estimation and inference functions for margins, are used to derive the parameters of its estimates. Applications to real-world datasets pertaining to kidney infection diseases and the UEFA Champions’ League group stage for the seasons 2004–2005 and 2005–2006 help to assess the efficacy of the proposed distribution. |
| first_indexed | 2025-11-15T03:33:58Z |
| format | Book Chapter |
| id | ump-39389 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:33:58Z |
| publishDate | 2023 |
| publisher | IntechOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-393892023-11-27T01:32:38Z http://umpir.ump.edu.my/id/eprint/39389/ Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications Aliyu, Ismail Ishaq Usman, Abubakar Suleiman, Ahmad Abubakar Othman, Mahmod Hanita, Daud Sokkalingam, Rajalingam Panitanarak, Uthumporn Muhammad Azrin, Ahmad Q Science (General) QA Mathematics In this work, a new bivariate inverted Nakagami distribution that can be used to model real-world datasets has been investigated. The newly developed bivariate distribution’s cumulative distribution function and probability density function are defined. The bivariate distribution derives from the Farlie Gumbel Morgenstern, and the marginal density functions are also determined. Some fundamental estimation techniques, such as maximum-likelihood estimation and inference functions for margins, are used to derive the parameters of its estimates. Applications to real-world datasets pertaining to kidney infection diseases and the UEFA Champions’ League group stage for the seasons 2004–2005 and 2005–2006 help to assess the efficacy of the proposed distribution. IntechOpen 2023 Book Chapter PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/39389/1/Book%20Chapter%20Perspective%20Chapter%20A%20New%20Bivariate%20Inverted%20Nakagami%20Distribution%20-%20Properties%20and%20Applications%20%28Intech%20Open%29.pdf Aliyu, Ismail Ishaq and Usman, Abubakar and Suleiman, Ahmad Abubakar and Othman, Mahmod and Hanita, Daud and Sokkalingam, Rajalingam and Panitanarak, Uthumporn and Muhammad Azrin, Ahmad (2023) Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications. In: New Trends and Challenges in Open Data. IntechOpen, pp. 1-17. ISBN 978-1-83769-591-1 https://www.intechopen.com/chapters/1136692 |
| spellingShingle | Q Science (General) QA Mathematics Aliyu, Ismail Ishaq Usman, Abubakar Suleiman, Ahmad Abubakar Othman, Mahmod Hanita, Daud Sokkalingam, Rajalingam Panitanarak, Uthumporn Muhammad Azrin, Ahmad Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications |
| title | Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications |
| title_full | Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications |
| title_fullStr | Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications |
| title_full_unstemmed | Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications |
| title_short | Perspective Chapter: A New Bivariate Inverted Nakagami Distribution – Properties and Applications |
| title_sort | perspective chapter: a new bivariate inverted nakagami distribution – properties and applications |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/39389/ http://umpir.ump.edu.my/id/eprint/39389/ http://umpir.ump.edu.my/id/eprint/39389/1/Book%20Chapter%20Perspective%20Chapter%20A%20New%20Bivariate%20Inverted%20Nakagami%20Distribution%20-%20Properties%20and%20Applications%20%28Intech%20Open%29.pdf |