Volume 20, Issue 2, June 2021, Pages 204 - 218
On Finite 3-Component Mixture of Rayleigh Distributions: A Classical Look
Corresponding Author
Muhammad Tahir
Received 8 October 2018, Accepted 6 July 2020, Available Online 23 June 2021.
- DOI
- 10.2991/jsta.d.210616.001How to use a DOI?
- Keywords
- Mixture distribution; Maximum likelihood estimation; Statistical properties; Entropies; Inequality measures; Order statistics
- Abstract
In this study, we have discussed various statistical properties for 3-component mixture of Rayleigh distributions. Here initially, the main properties of mixture distributions are presented and analyzed. Second, some of the famous entropies, measures of inequality are also discussed. Also, the statistical properties of the density functions of rth-, 1st- and nth-order statistics are derived. Moreover, the parameters estimation of the considered mixture model under the maximum likelihood (ML) estimation is also performed using censored and complete data scheme. Finally, the results on ML estimation are also computed via Monte Carlo simulation study and as well as by using a real-life data set.
- Copyright
- © 2021 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Muhammad Tahir AU - Muhammad Ahsanullah AU - Sidra Mohsin AU - Muhammad Abid PY - 2021 DA - 2021/06/23 TI - On Finite 3-Component Mixture of Rayleigh Distributions: A Classical Look JO - Journal of Statistical Theory and Applications SP - 204 EP - 218 VL - 20 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.210616.001 DO - 10.2991/jsta.d.210616.001 ID - Tahir2021 ER -