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برآورد بیزی پارامترهای توزیع لوماکس معکوس اصلاح‌شدۀ تبدیل لگاریتمی | ||
| Journal of New Researches in Mathematics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 مرداد 1401 | ||
| نوع مقاله: research paper | ||
| شناسه دیجیتال (DOI): 10.30495/jnrm.2022.67376.2268 | ||
| نویسنده | ||
Parviz Nasiri 
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| گروه آمار دانشگاه پیام نور | ||
| چکیده | ||
| In modeling life data, the use of different statistical distributions for the goodness fit of data plays an important role that has recently been considered by many researchers. The inverse Lomax distribution is one of these distributions that is used for goodness fit of lifetime data and power conversions can be used to increase its flexibility. In this paper, using modified logarithmic transformed inverse Lomax distribution of three-parameter is introduced and then, while examining its properties, the parameters are estimated by Bayesian method using the appropriate prior distributions and compared with other estimators. Finally with using simulation, the Bayesian estimator is compared with the maximum likelihood, percentile estimation, maximum distance estimation, and Anderson-Darling estimation compared with using mean square of error. Real data were used to evaluate the good fit of the logarithmic modified inverse Lomax distribution. A good comparison of the fit of this distribution with other distributions using real data shows the superiority of this distribution. | ||
| کلیدواژه‌ها | ||
| Inverse Lomax Distribution؛ Power Transformed؛ Modified Logarithmic Transformed invers Lomax Distribution؛ Estimation؛ Mean Square of Error | ||
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آمار تعداد مشاهده مقاله: 142 |
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