Inverse generalized gamma distribution with it's properties
In this paper, we introduce a new life time distribution . This distribution based on the reciprocal of Generalized Gamma (GG) random variable . This new distribution is called the Inverse Generalized Gamma (IGG) Distribution in which some of the inverse distributions are special cases. The importan...
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| Published in: | المجلة العراقية للعلوم الاحصائية Vol. 17; no. 31; pp. 65 - 71 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | Arabic English |
| Published: |
Mosul, Iraq
University of Mosul, College of Computer Science and Mathematics
2020
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| Abstract | In this paper, we introduce a new life time distribution . This distribution based on the reciprocal of Generalized Gamma (GG) random variable . This new distribution is called the Inverse Generalized Gamma (IGG) Distribution in which some of the inverse distributions are special cases. The important benefit of this distribution is ability to fit skewed data that cannot be fitted accurately by many other ungeneralized life time distributions. This distribution has many applications in pollution data ,engineering ,Biological fields and reliability. Some theoretical properties of the distribution has been studied such as: moments, mode, median and other properties.
It is concluded that the distribution is skew with heavy tail and the skewness increased when the shape parameters increased but the scale parameter has no effect on the skewness and kurtosis. |
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| AbstractList | In this paper, we introduce a new life time distribution . This distribution based on the reciprocal of Generalized Gamma (GG) random variable . This new distribution is called the Inverse Generalized Gamma (IGG) Distribution in which some of the inverse distributions are special cases. The important benefit of this distribution is ability to fit skewed data that cannot be fitted accurately by many other ungeneralized life time distributions. This distribution has many applications in pollution data ,engineering ,Biological fields and reliability. Some theoretical properties of the distribution has been studied such as: moments, mode, median and other properties.
It is concluded that the distribution is skew with heavy tail and the skewness increased when the shape parameters increased but the scale parameter has no effect on the skewness and kurtosis. |
| Author | Hayawi, Hiyam Abd al-Majid Said, Hayfa Abd al-Jawad Abd Allah, Mahasin Salih |
| Author_xml | – sequence: 1 fullname: Said, Hayfa Abd al-Jawad organization: Assistant Professor / College of Computer Science and Mathematics / Department of Statistics and Informatics / University of Mosul – sequence: 2 fullname: Hayawi, Hiyam Abd al-Majid organization: Assistant Professor / College of Computer Science and Mathematics / Department of Statistics and Informatics / University of Mosul – sequence: 3 fullname: Abd Allah, Mahasin Salih organization: Lecturer / College of Computer Science and Mathematics / Department of Statistics and Informatics / University of Mosul |
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| Snippet | In this paper, we introduce a new life time distribution . This distribution based on the reciprocal of Generalized Gamma (GG) random variable . This new... |
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| Title | Inverse generalized gamma distribution with it's properties |
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