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Estimation Parameters of the Inverse Weibull Logarithmic Series Distribution
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Parviz Nasiri *   , Amir Abbas Azarian |
| Payam Noor University |
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Abstract: (776 Views) |
| In survival data modeling, the numbers of components of composite distributions in failure times play an essential role, and in parallel, determining the appropriate distribution for the number of components increases the efficiency of estimators. In recent years, many distributions have been proposed by researchers to determine the number of components, such as binomial, geometric, Poisson and truncated Poisson distributions. Considering the importance of the subject, in this article, considering the logarithmic series distribution for the number of components in the compound inverse Weibull distribution, the inverse Weibull logarithmic series distribution is introduced. In the following, while estimating its parameters in different ways using simulation, the estimators are compared using the mean square error criterion. At the end, using the real data, the fit of the inverse Weibull logarithmic series distribution is checked. |
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| Keywords: Composite Inverse Weibull Distribution, Logarithmic Series Distribution, Failure rate, Estimation, Mean Squared Error |
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Full-Text [PDF 1004 kb]
(373 Downloads)
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Type of Study: Research |
Received: 2022/12/16 | Accepted: 2025/10/21 | Published: 2025/09/1
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