Journal of Statistical Theory and Applications

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Volume 19, Issue 3, September 2020, Pages 446 - 459

Poly-Weighted Exponentiated Gamma Distribution with Application

Authors
E. B. Nkemnole1, *, E. M. Ikegwu1, 2
1Department of Mathematics, University of Lagos, Akoka, Nigeria
2Yaba College of Technology, Yaba Lagos, Nigeria
*Corresponding author. Email: enkemnole@unilag.edu.ng
Corresponding Author
E. B. Nkemnole
Received 29 April 2020, Accepted 29 September 2020, Available Online 24 October 2020.
DOI
10.2991/jsta.d.201016.002How to use a DOI?
Keywords
Poly-weighted; Modified distributions; Multi-dimensions; Parameters; Simulation
Abstract

This paper proposes a weighting of the exponentiated gamma distribution with a polynomial function called the poly-weighted exponentiated gamma distribution (PWEGD). It shows that the modified distribution harnesses the multi-dimensional effects of the distribution. We provided an extensive mathematical treatment of this proposed distribution: obtained its parameters, estimated its statistical properties with applicable, tests and compared the estimates with existing distribution. The study estimated the cumulative distribution function, hazard function, survival function, skewness, kurtosis, mode, median and quartiles of the distribution and evaluated the distribution with Monte Carlo simulated data and the data of the wind direction (degrees) in Lagos, Nigeria. Empirical analysis showed that with increased polynomial function, the estimates and the statistical properties like the expectation, variance, standard error, median, mode, hazard and survival functions, cumulative distribution function (CDF), moments, skewness and kurtosis were significantly better than the existing root distributions. The MSE of the parameters decreased with increased power and the parameter is significant (p < 0.05). It is concluded that the proposed distribution does not only provide better fitting but also establishes an efficient structure for lifetime data modelling.

Copyright
© 2020 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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<Previous Article In Issue
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 3
Pages
446 - 459
Publication Date
2020/10/24
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.201016.002How to use a DOI?
Copyright
© 2020 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/).

Cite this article

risenwbib
TY  - JOUR
AU  - E. B. Nkemnole
AU  - E. M. Ikegwu
PY  - 2020
DA  - 2020/10/24
TI  - Poly-Weighted Exponentiated Gamma Distribution with Application
JO  - Journal of Statistical Theory and Applications
SP  - 446
EP  - 459
VL  - 19
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.201016.002
DO  - 10.2991/jsta.d.201016.002
ID  - Nkemnole2020
ER  -