Journal of Statistical Theory and Applications

Volume 17, Issue 4, December 2018, Pages 719 - 727

Weibull-Normal Distribution and its Applications

Authors
Felix Famoye1, *, Eno Akarawak2, Matthew Ekum3
1Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan, USA
2Department of Mathematics, University of Lagos, Akoka-Yaba, Lagos, Nigeria
3Department of Mathematics & Statistics, Lagos State Polytechnic, Ikorodu, Lagos, Nigeria
*

Corresponding author. Email: felix.famoye@cmich.edu

Received 2 March 2016, Accepted 19 July 2017, Available Online 31 December 2018.
DOI
10.2991/jsta.2018.17.4.12How to use a DOI?
Keywords
T-R{Y} framework; Bimodal; Hazard function; Estimation
Abstract

In this paper, a Weibull-normal distribution, based on the standard quantile function of log-logistic distribution, is defined and studied. Some properties of the probability distribution are discussed. The Weibull-normal distribution is found to be unimodal or bimodal. The distribution can be right skewed or left skewed. The method of maximum likelihood estimation is suggested to estimate the parameters of the distribution. Three numerical data sets are used to illustrate the applications of the Weibull-normal distribution.

Copyright
© 2018 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
17 - 4
Pages
719 - 727
Publication Date
2018/12/31
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2018.17.4.12How to use a DOI?
Copyright
© 2018 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Felix Famoye
AU  - Eno Akarawak
AU  - Matthew Ekum
PY  - 2018
DA  - 2018/12/31
TI  - Weibull-Normal Distribution and its Applications
JO  - Journal of Statistical Theory and Applications
SP  - 719
EP  - 727
VL  - 17
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.4.12
DO  - 10.2991/jsta.2018.17.4.12
ID  - Famoye2018
ER  -