Exp-Kumaraswamy Distributions: Some Properties and Applications
In this paper, we propose and study exp-kumaraswamy distribution. Some of its properties are derived, including the density function, hazard rate function, quantile function, moments, skewness and kurtosis. Adata set isused to illustrate an application of the proposed distribution. Also, we obt...
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| Format: | Article |
| Language: | English |
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University of Tehran
2015-03-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_53219_0fa8e5a48fc9f5082139b52a51d71529.pdf |
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| author | Z. Javanshiri A. Habibi Rad N.R. Arghami |
| author_facet | Z. Javanshiri A. Habibi Rad N.R. Arghami |
| author_sort | Z. Javanshiri |
| collection | DOAJ |
| description | In this paper, we propose and study exp-kumaraswamy distribution. Some of its properties are derived, including the density function, hazard rate function, quantile function, moments, skewness and kurtosis. Adata set isused to illustrate an application of the proposed distribution. Also, we obtain a new distribution by transformation onexp-kumaraswamy distribution. New distribution is an alternative to skew-normal distribution. Basic properties ofthis new distribution, such as moment generating function, moments, skewness, kurtosis and maximum likelihood estimation are studied. Its applicability is illustrated by means of two real data sets. |
| format | Article |
| id | doaj-art-8a9dfaac20864a82855e53fe75d6f2a7 |
| institution | DOAJ |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2015-03-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-8a9dfaac20864a82855e53fe75d6f2a72025-08-20T03:13:36ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142015-03-01261576953219Exp-Kumaraswamy Distributions: Some Properties and ApplicationsZ. Javanshiri0A. Habibi Rad1N.R. Arghami2Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 91775-1159, Mashhad, Islamic Republic of IranDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 91775-1159, Mashhad, Islamic Republic of IranDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 91775-1159, Mashhad, Islamic Republic of IranIn this paper, we propose and study exp-kumaraswamy distribution. Some of its properties are derived, including the density function, hazard rate function, quantile function, moments, skewness and kurtosis. Adata set isused to illustrate an application of the proposed distribution. Also, we obtain a new distribution by transformation onexp-kumaraswamy distribution. New distribution is an alternative to skew-normal distribution. Basic properties ofthis new distribution, such as moment generating function, moments, skewness, kurtosis and maximum likelihood estimation are studied. Its applicability is illustrated by means of two real data sets.https://jsciences.ut.ac.ir/article_53219_0fa8e5a48fc9f5082139b52a51d71529.pdflog-exp-kumaraswamy distributionmomentsmoment generating functionkurtosisskewness |
| spellingShingle | Z. Javanshiri A. Habibi Rad N.R. Arghami Exp-Kumaraswamy Distributions: Some Properties and Applications Journal of Sciences, Islamic Republic of Iran log-exp-kumaraswamy distribution moments moment generating function kurtosis skewness |
| title | Exp-Kumaraswamy Distributions: Some Properties and Applications |
| title_full | Exp-Kumaraswamy Distributions: Some Properties and Applications |
| title_fullStr | Exp-Kumaraswamy Distributions: Some Properties and Applications |
| title_full_unstemmed | Exp-Kumaraswamy Distributions: Some Properties and Applications |
| title_short | Exp-Kumaraswamy Distributions: Some Properties and Applications |
| title_sort | exp kumaraswamy distributions some properties and applications |
| topic | log-exp-kumaraswamy distribution moments moment generating function kurtosis skewness |
| url | https://jsciences.ut.ac.ir/article_53219_0fa8e5a48fc9f5082139b52a51d71529.pdf |
| work_keys_str_mv | AT zjavanshiri expkumaraswamydistributionssomepropertiesandapplications AT ahabibirad expkumaraswamydistributionssomepropertiesandapplications AT nrarghami expkumaraswamydistributionssomepropertiesandapplications |