Author:
Ismail Ishaq Aliyu,Usman Abubakar,Abubakar Suleiman Ahmad,Othman Mahmod,Daud Hanita,Sokkalingam Rajalingam,Panitanarak Uthumporn,Azrin Ahmad Muhammad
Abstract
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.
Reference50 articles.
1. Nakagami M. The m-distribution—A general formula of intensity distribution of rapid fading. In: Statistical Methods in Radio Wave Propagation. In: Proceedings of a Symposium Held at the University of California, Los Angeles, June 18–20, 1958. Elsevier; 1960. pp. 3-36. DOI: 10.1016/B978-0-08-009306-2.50005-4
2. Cui W et al. Automatic segmentation of ultrasound images using SegNet and local Nakagami distribution fitting model. Biomedical Signal Processing and Control. 2023;:104431. DOI: 10.1016/j.bspc.2022.104431
3. Liu Z, Du Y, Meng X, Li C, Zhou L. Temperature monitoring during microwave hyperthermia based on BP-Nakagami distribution. Journal of Ultrasound in Medicine. 2023. DOI: 10.1002/jum.16213
4. Rathnam MJ, Christ J. A novel method for cataract detection and segmentation using Nakagami distribution. Journal of Medical Imaging and Health Informatics. 2022;(1):45-51
5. Pajala E, Isotalo T, Lakhzouri A, Lohan ES, Renfors M. An improved simulation model for Nakagami-m fading channels for satellite positioning applications. In: 3rd Workshop on Position, Navigation and Communication. Hannover, Germany: Academia; 2006. pp. 81-89