New White Method of Parameters and Reliability Estimation for Transmuted Power Function Distribution
In this paper, an estimate has been made for parameters and the reliability function for Transmuted power function (TPF) distribution through using some estimation methods as proposed new technique for white, percentile, least square, weighted least square and modification moment methods. A simulati...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2022-02-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4875 |
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| author | Makki A. Mohammed Salih Jaafer Hmood Eidi |
| author_facet | Makki A. Mohammed Salih Jaafer Hmood Eidi |
| author_sort | Makki A. Mohammed Salih |
| collection | DOAJ |
| description | In this paper, an estimate has been made for parameters and the reliability function for Transmuted power function (TPF) distribution through using some estimation methods as proposed new technique for white, percentile, least square, weighted least square and modification moment methods. A simulation was used to generate random data that follow the (TPF) distribution on three experiments (E1 , E2 , E3) of the real values of the parameters, and with sample size (n=10,25,50 and 100) and iteration samples (N=1000), and taking reliability times (0< t < 0) . Comparisons have been made between the obtained results from the estimators using mean square error (MSE). The results showed the percentile estimator is the best in (E1, E2) but modification moment is the best in (E3) . |
| format | Article |
| id | doaj-art-0170d4f7f3dd43f58d50e0099dc49ea6 |
| institution | Matheson Library |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2022-02-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-0170d4f7f3dd43f58d50e0099dc49ea62025-08-02T00:11:59ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862022-02-0119110.21123/bsj.2022.19.1.0077New White Method of Parameters and Reliability Estimation for Transmuted Power Function DistributionMakki A. Mohammed Salih0Jaafer Hmood Eidi1Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, IraqDepartment of Mathematics, College of Education, Mustansiriyah University, Baghdad, IraqIn this paper, an estimate has been made for parameters and the reliability function for Transmuted power function (TPF) distribution through using some estimation methods as proposed new technique for white, percentile, least square, weighted least square and modification moment methods. A simulation was used to generate random data that follow the (TPF) distribution on three experiments (E1 , E2 , E3) of the real values of the parameters, and with sample size (n=10,25,50 and 100) and iteration samples (N=1000), and taking reliability times (0< t < 0) . Comparisons have been made between the obtained results from the estimators using mean square error (MSE). The results showed the percentile estimator is the best in (E1, E2) but modification moment is the best in (E3) .https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4875Estimation methods, Mean square error, Percentiles, Quadratic rank transmutation map, Transmuted power function distribution |
| spellingShingle | Makki A. Mohammed Salih Jaafer Hmood Eidi New White Method of Parameters and Reliability Estimation for Transmuted Power Function Distribution مجلة بغداد للعلوم Estimation methods, Mean square error, Percentiles, Quadratic rank transmutation map, Transmuted power function distribution |
| title | New White Method of Parameters and Reliability Estimation for Transmuted Power Function Distribution |
| title_full | New White Method of Parameters and Reliability Estimation for Transmuted Power Function Distribution |
| title_fullStr | New White Method of Parameters and Reliability Estimation for Transmuted Power Function Distribution |
| title_full_unstemmed | New White Method of Parameters and Reliability Estimation for Transmuted Power Function Distribution |
| title_short | New White Method of Parameters and Reliability Estimation for Transmuted Power Function Distribution |
| title_sort | new white method of parameters and reliability estimation for transmuted power function distribution |
| topic | Estimation methods, Mean square error, Percentiles, Quadratic rank transmutation map, Transmuted power function distribution |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4875 |
| work_keys_str_mv | AT makkiamohammedsalih newwhitemethodofparametersandreliabilityestimationfortransmutedpowerfunctiondistribution AT jaaferhmoodeidi newwhitemethodofparametersandreliabilityestimationfortransmutedpowerfunctiondistribution |