Modified Weighted Pareto Distribution Type I (MWPDTI)
In this paper, the Azzallini’s method used to find a weighted distribution derived from the standard Pareto distribution of type I (SPDTI) by inserting the shape parameter (θ) resulting from the above method to cover the period (0, 1] which was neglected by the standard distribution. Thus, the propo...
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| Language: | English |
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University of Baghdad, College of Science for Women
2020-07-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3325 |
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| author | Mahmood A. Sahmran |
| author_facet | Mahmood A. Sahmran |
| author_sort | Mahmood A. Sahmran |
| collection | DOAJ |
| description | In this paper, the Azzallini’s method used to find a weighted distribution derived from the standard Pareto distribution of type I (SPDTI) by inserting the shape parameter (θ) resulting from the above method to cover the period (0, 1] which was neglected by the standard distribution. Thus, the proposed distribution is a modification to the Pareto distribution of the first type, where the probability of the random variable lies within the period The properties of the modified weighted Pareto distribution of the type I (MWPDTI) as the probability density function ,cumulative distribution function, Reliability function , Moment and the hazard function are found. The behaviour of probability density function for MWPDTI distribution by representing the values of This means, the probability density function of this distribution treats the period (0,1] which is ignore in SPDTI. |
| format | Article |
| id | doaj-art-2c6bb747ae394817bc063137d8e4f7c0 |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2020-07-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-2c6bb747ae394817bc063137d8e4f7c02025-08-20T03:15:39ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862020-07-0117310.21123/bsj.2020.17.3.0869Modified Weighted Pareto Distribution Type I (MWPDTI)Mahmood A. Sahmran0University of BaghdadIn this paper, the Azzallini’s method used to find a weighted distribution derived from the standard Pareto distribution of type I (SPDTI) by inserting the shape parameter (θ) resulting from the above method to cover the period (0, 1] which was neglected by the standard distribution. Thus, the proposed distribution is a modification to the Pareto distribution of the first type, where the probability of the random variable lies within the period The properties of the modified weighted Pareto distribution of the type I (MWPDTI) as the probability density function ,cumulative distribution function, Reliability function , Moment and the hazard function are found. The behaviour of probability density function for MWPDTI distribution by representing the values of This means, the probability density function of this distribution treats the period (0,1] which is ignore in SPDTI.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3325Azzallini’s method , Cumulative distribution function , Modified weighted Pareto distribution type I(MWPDTI), Reliability function , Standard Pareto distribution type I(SPDTI). |
| spellingShingle | Mahmood A. Sahmran Modified Weighted Pareto Distribution Type I (MWPDTI) مجلة بغداد للعلوم Azzallini’s method , Cumulative distribution function , Modified weighted Pareto distribution type I(MWPDTI), Reliability function , Standard Pareto distribution type I(SPDTI). |
| title | Modified Weighted Pareto Distribution Type I (MWPDTI) |
| title_full | Modified Weighted Pareto Distribution Type I (MWPDTI) |
| title_fullStr | Modified Weighted Pareto Distribution Type I (MWPDTI) |
| title_full_unstemmed | Modified Weighted Pareto Distribution Type I (MWPDTI) |
| title_short | Modified Weighted Pareto Distribution Type I (MWPDTI) |
| title_sort | modified weighted pareto distribution type i mwpdti |
| topic | Azzallini’s method , Cumulative distribution function , Modified weighted Pareto distribution type I(MWPDTI), Reliability function , Standard Pareto distribution type I(SPDTI). |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3325 |
| work_keys_str_mv | AT mahmoodasahmran modifiedweightedparetodistributiontypeimwpdti |