Weibull-Normal Distribution and its Applications
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...
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Atlantis Press
2018-12-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
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| Online Access: | https://www.atlantis-press.com/article/125905583/view |
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doaj-7f3138a5324b4ec49c400b94799b28362020-11-25T01:17:23ZengAtlantis PressJournal of Statistical Theory and Applications (JSTA)1538-78872018-12-0117410.2991/jsta.2018.17.4.12Weibull-Normal Distribution and its ApplicationsFelix FamoyeEno AkarawakMatthew EkumIn 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 Weibullnormal distribution.https://www.atlantis-press.com/article/125905583/viewT-R{Y}frameworkBimodalHazard functionEstimation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Felix Famoye Eno Akarawak Matthew Ekum |
| spellingShingle |
Felix Famoye Eno Akarawak Matthew Ekum Weibull-Normal Distribution and its Applications Journal of Statistical Theory and Applications (JSTA) T-R{Y}framework Bimodal Hazard function Estimation |
| author_facet |
Felix Famoye Eno Akarawak Matthew Ekum |
| author_sort |
Felix Famoye |
| title |
Weibull-Normal Distribution and its Applications |
| title_short |
Weibull-Normal Distribution and its Applications |
| title_full |
Weibull-Normal Distribution and its Applications |
| title_fullStr |
Weibull-Normal Distribution and its Applications |
| title_full_unstemmed |
Weibull-Normal Distribution and its Applications |
| title_sort |
weibull-normal distribution and its applications |
| publisher |
Atlantis Press |
| series |
Journal of Statistical Theory and Applications (JSTA) |
| issn |
1538-7887 |
| publishDate |
2018-12-01 |
| description |
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 Weibullnormal distribution. |
| topic |
T-R{Y}framework Bimodal Hazard function Estimation |
| url |
https://www.atlantis-press.com/article/125905583/view |
| work_keys_str_mv |
AT felixfamoye weibullnormaldistributionanditsapplications AT enoakarawak weibullnormaldistributionanditsapplications AT matthewekum weibullnormaldistributionanditsapplications |
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