New Lifetime Alpha Power Exponential Weibull Distribution: Structure and Properties
In statistics theory, adding a new parameter is considered one of the important things that help in producing statistical distributions more flexible and appropriate in data analysis. Alpha-power transformations are considered a modern technique that involves adding a shape parameter to generate ne...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2025-07-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3885 |
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| author | Hiba Mahdi Saleh Ali Talib Mohammed Umar Yusuf Madaki |
| author_facet | Hiba Mahdi Saleh Ali Talib Mohammed Umar Yusuf Madaki |
| author_sort | Hiba Mahdi Saleh |
| collection | DOAJ |
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In statistics theory, adding a new parameter is considered one of the important things that help in producing statistical distributions more flexible and appropriate in data analysis. Alpha-power transformations are considered a modern technique that involves adding a shape parameter to generate new statistical distributions. In this paper, a new life continuous distribution of three parameters is presented by fitting the alpha power transformations family distribution with two parameters lifetime exponential Weibull distribution. The new model named alpha-power exponential Weibull distribution (APEWD) with three parameters , where and are classified as scale parameters and parameter is classified as a shape parameter. The cumulative, probability density, survival, hazard functions, and statistical properties of the proposed new model distribution were discussed and studied such as quantile function, moment about origin, moment generating function, Skewness, Kurtosis, factorial moments generating function, and characteristic function. To expand the probability density function for the new distribution, we took advantage of expanding the exponential function for ease of dealing with finding statistical properties
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| format | Article |
| id | doaj-art-e91bfd287f964772af7252dede722e36 |
| institution | DOAJ |
| issn | 1609-4042 2521-3407 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj-art-e91bfd287f964772af7252dede722e362025-08-20T03:12:31ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-07-0138310.30526/38.3.3885New Lifetime Alpha Power Exponential Weibull Distribution: Structure and PropertiesHiba Mahdi Saleh0https://orcid.org/0000-0003-0235-2352Ali Talib Mohammed1https://orcid.org/0000-0003-0235-2352Umar Yusuf Madaki2https://orcid.org/0000-0002-2242-9698Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, IraqDepartment of Mathematics, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, Baghdad, IraqDepartment of Mathematics and Statistics, Faculty of Science, Yobe State University Damaturu, Nigeria. In statistics theory, adding a new parameter is considered one of the important things that help in producing statistical distributions more flexible and appropriate in data analysis. Alpha-power transformations are considered a modern technique that involves adding a shape parameter to generate new statistical distributions. In this paper, a new life continuous distribution of three parameters is presented by fitting the alpha power transformations family distribution with two parameters lifetime exponential Weibull distribution. The new model named alpha-power exponential Weibull distribution (APEWD) with three parameters , where and are classified as scale parameters and parameter is classified as a shape parameter. The cumulative, probability density, survival, hazard functions, and statistical properties of the proposed new model distribution were discussed and studied such as quantile function, moment about origin, moment generating function, Skewness, Kurtosis, factorial moments generating function, and characteristic function. To expand the probability density function for the new distribution, we took advantage of expanding the exponential function for ease of dealing with finding statistical properties https://jih.uobaghdad.edu.iq/index.php/j/article/view/3885alpha power familyexponential Weibull distributionsurvival functionmoments about the originmoment generating function |
| spellingShingle | Hiba Mahdi Saleh Ali Talib Mohammed Umar Yusuf Madaki New Lifetime Alpha Power Exponential Weibull Distribution: Structure and Properties Ibn Al-Haitham Journal for Pure and Applied Sciences alpha power family exponential Weibull distribution survival function moments about the origin moment generating function |
| title | New Lifetime Alpha Power Exponential Weibull Distribution: Structure and Properties |
| title_full | New Lifetime Alpha Power Exponential Weibull Distribution: Structure and Properties |
| title_fullStr | New Lifetime Alpha Power Exponential Weibull Distribution: Structure and Properties |
| title_full_unstemmed | New Lifetime Alpha Power Exponential Weibull Distribution: Structure and Properties |
| title_short | New Lifetime Alpha Power Exponential Weibull Distribution: Structure and Properties |
| title_sort | new lifetime alpha power exponential weibull distribution structure and properties |
| topic | alpha power family exponential Weibull distribution survival function moments about the origin moment generating function |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3885 |
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