Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications
In recent years, bounded distributions have attracted extensive attention. At the same time, various areas involve bounded interval data, such as proportion and ratio. In this paper, we propose a new bounded model, named logistic Truncated exponential skew logistic distribution. Some basic statistic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Modelling |
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| Online Access: | https://www.mdpi.com/2673-3951/2/4/41 |
| _version_ | 1797502242015674368 |
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| author | Liyuan Pang Weizhong Tian Tingting Tong Xiangfei Chen |
| author_facet | Liyuan Pang Weizhong Tian Tingting Tong Xiangfei Chen |
| author_sort | Liyuan Pang |
| collection | DOAJ |
| description | In recent years, bounded distributions have attracted extensive attention. At the same time, various areas involve bounded interval data, such as proportion and ratio. In this paper, we propose a new bounded model, named logistic Truncated exponential skew logistic distribution. Some basic statistical properties of the proposed distribution are studied, including moments, mean residual life function, Renyi entropy, mean deviation, order statistics, exponential family, and quantile function. The maximum likelihood method is used to estimate the unknown parameters of the proposed distribution. More importantly, the applications to three real data sets mainly from the field of engineering science prove that the logistic Truncated exponential skew logistic distribution fits better than other bounded distributions. |
| first_indexed | 2024-03-10T03:30:09Z |
| format | Article |
| id | doaj.art-4f3eed1f157447dc87352b0a725d893f |
| institution | Directory Open Access Journal |
| issn | 2673-3951 |
| language | English |
| last_indexed | 2024-03-10T03:30:09Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Modelling |
| spelling | doaj.art-4f3eed1f157447dc87352b0a725d893f2023-11-23T09:43:16ZengMDPI AGModelling2673-39512021-12-012477679410.3390/modelling2040041Logit Truncated-Exponential Skew-Logistic Distribution with Properties and ApplicationsLiyuan Pang0Weizhong Tian1Tingting Tong2Xiangfei Chen3Department of Mathematics, Xi’an University of Technology, Xi’an 710054, ChinaCollege of Big Data and Internet, Shenzhen Technology University, Shenzhen 518118, ChinaDepartment of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USADepartment of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USAIn recent years, bounded distributions have attracted extensive attention. At the same time, various areas involve bounded interval data, such as proportion and ratio. In this paper, we propose a new bounded model, named logistic Truncated exponential skew logistic distribution. Some basic statistical properties of the proposed distribution are studied, including moments, mean residual life function, Renyi entropy, mean deviation, order statistics, exponential family, and quantile function. The maximum likelihood method is used to estimate the unknown parameters of the proposed distribution. More importantly, the applications to three real data sets mainly from the field of engineering science prove that the logistic Truncated exponential skew logistic distribution fits better than other bounded distributions.https://www.mdpi.com/2673-3951/2/4/41Beta distributionlogit truncated-exponential skew-logistic distributiontruncated-exponential skew-logistic distributionmaximum likelihood estimatorengineering sciencefitting effect |
| spellingShingle | Liyuan Pang Weizhong Tian Tingting Tong Xiangfei Chen Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications Modelling Beta distribution logit truncated-exponential skew-logistic distribution truncated-exponential skew-logistic distribution maximum likelihood estimator engineering science fitting effect |
| title | Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications |
| title_full | Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications |
| title_fullStr | Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications |
| title_full_unstemmed | Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications |
| title_short | Logit Truncated-Exponential Skew-Logistic Distribution with Properties and Applications |
| title_sort | logit truncated exponential skew logistic distribution with properties and applications |
| topic | Beta distribution logit truncated-exponential skew-logistic distribution truncated-exponential skew-logistic distribution maximum likelihood estimator engineering science fitting effect |
| url | https://www.mdpi.com/2673-3951/2/4/41 |
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