On The Existence and Uniqueness Conditions of The MLEs of The Four-Parameter Exponentiated BurrXII-Poisson Distribution

Authors

  • Ibrahim Abdullahi Yusuf Maitama Sule University, Kano, Nigeria
  • Shamsuddeen Ahmad Sabo Aliko Dangote University of Science and Technology, Wudil, Nigeria

DOI:

https://doi.org/10.57233/ijsgs.v10i3.697

Keywords:

EBXIIP distribution, Regularity conditions, Statistical inference, MLE method, Density properties

Abstract

A maximum likelihood estimator is guaranteed to exist, provided specific regularity conditions are met to ensure a well-defined likelihood function and achievable maximization. This paper considered the existence and uniqueness of the maximum likelihood estimates (MLE) of the exponentiated BurrXII Poisson (EBXIIP) distribution under some possible conditions.  

Author Biographies

Ibrahim Abdullahi, Yusuf Maitama Sule University, Kano, Nigeria

Department of Mathematics,

Yusuf Maitama Sule University, Kano, Nigeria

Shamsuddeen Ahmad Sabo, Aliko Dangote University of Science and Technology, Wudil, Nigeria

Department of Statistics,

Aliko Dangote University of Science and Technology,

Wudil, Nigeria

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Published

2024-10-16

How to Cite

Abdullahi, I. ., & Sabo, S. A. . (2024). On The Existence and Uniqueness Conditions of The MLEs of The Four-Parameter Exponentiated BurrXII-Poisson Distribution. International Journal of Science for Global Sustainability, 10(3), 57–62. https://doi.org/10.57233/ijsgs.v10i3.697

Issue

Vol. 10 No. 3 (2024): INTERNATIONAL JOURNAL OF SCIENCE FOR GLOBAL SUSTAINABILITY

Section

Articles

License

Copyright (c) 2024 Author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.