Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples
This paper proposed a new probability distribution, namely, the half-logistic xgamma (HLXG) distribution. Various statistical properties, such as, moments, incomplete moments, mean residual life, and stochastic ordering of the proposed distribution, are discussed. Parameter estimation of the half-lo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/9136513 |
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| author | Rashad Bantan Amal S. Hassan Mahmoud Elsehetry B. M. Golam Kibria |
| author_facet | Rashad Bantan Amal S. Hassan Mahmoud Elsehetry B. M. Golam Kibria |
| author_sort | Rashad Bantan |
| collection | DOAJ |
| description | This paper proposed a new probability distribution, namely, the half-logistic xgamma (HLXG) distribution. Various statistical properties, such as, moments, incomplete moments, mean residual life, and stochastic ordering of the proposed distribution, are discussed. Parameter estimation of the half-logistic xgamma distribution is approached by the maximum likelihood method based on complete and censored samples. Asymptotic confidence intervals of model parameters are provided. A simulation study is conducted to illustrate the theoretical results. Moreover, the model parameters of the HLXG distribution are estimated by using the maximum likelihood, least square, maximum product spacing, percentile, and Cramer–von Mises (CVM) methods. Superiority of the new model over some existing distributions is illustrated through three real data sets. |
| format | Article |
| id | doaj-art-94d3baeb223e48d9ad46d36b10a94384 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-94d3baeb223e48d9ad46d36b10a943842025-02-03T01:27:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/91365139136513Half-Logistic Xgamma Distribution: Properties and Estimation under Censored SamplesRashad Bantan0Amal S. Hassan1Mahmoud Elsehetry2B. M. Golam Kibria3Deanship of Scientific Research, King AbdulAziz University, Jeddah, Saudi ArabiaFaculty of Graduate Studies for Statistical Research, Cairo University, Giza, EgyptDeanship of Information Technology, King AbdulAziz University, Jeddah, Saudi ArabiaDepartment of Mathematics and Statistics, Florida International University, Miami, FL 33199, USAThis paper proposed a new probability distribution, namely, the half-logistic xgamma (HLXG) distribution. Various statistical properties, such as, moments, incomplete moments, mean residual life, and stochastic ordering of the proposed distribution, are discussed. Parameter estimation of the half-logistic xgamma distribution is approached by the maximum likelihood method based on complete and censored samples. Asymptotic confidence intervals of model parameters are provided. A simulation study is conducted to illustrate the theoretical results. Moreover, the model parameters of the HLXG distribution are estimated by using the maximum likelihood, least square, maximum product spacing, percentile, and Cramer–von Mises (CVM) methods. Superiority of the new model over some existing distributions is illustrated through three real data sets.http://dx.doi.org/10.1155/2020/9136513 |
| spellingShingle | Rashad Bantan Amal S. Hassan Mahmoud Elsehetry B. M. Golam Kibria Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples Discrete Dynamics in Nature and Society |
| title | Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples |
| title_full | Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples |
| title_fullStr | Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples |
| title_full_unstemmed | Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples |
| title_short | Half-Logistic Xgamma Distribution: Properties and Estimation under Censored Samples |
| title_sort | half logistic xgamma distribution properties and estimation under censored samples |
| url | http://dx.doi.org/10.1155/2020/9136513 |
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