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Confidence Intervals for the Ram Awadh Distribution Parameter: Applications in Engineering and COVID-19 Data |
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| รหัสดีโอไอ | |
| Creator | Wararit Panichkitkosolkul |
| Title | Confidence Intervals for the Ram Awadh Distribution Parameter: Applications in Engineering and COVID-19 Data |
| Publisher | National Institute of Development Administration |
| Publication Year | 2568 |
| Journal Title | NIDA Development Journal |
| Journal Vol. | 65 |
| Journal No. | 1 |
| Page no. | 86-117 |
| Keyword | Interval Estimation, Mixture Distribution, Coverage Probability, Bootstrap Methods, Reliability Data Analysis |
| URL Website | https://so04.tci-thaijo.org/index.php/NDJ |
| Website title | NIDA Development Journal |
| ISSN | 2822-0536 |
| Abstract | In applied sciences and medical sciences, accurate estimation of distribution parameter is crucial for data analysis and decision-making. This study proposes various confidence interval (CI) estimation methods for the parameter of the Ram Awadh distribution, a distribution commonly used in reliability and lifetime data analysis. The methods evaluated include likelihood-based, Wald-type, bootstrap-t, and bias-corrected and accelerated (BCa) bootstrap Cls. Through extensive simulation studies, we compare the performance of these methods in terms of empirical coverage probability (ECP) and average length (AL) of the Cls under different sample sizes. Additionally, an explicit formulation of the Cl formula for the Wald-type has been derived, simplifying its computation process. The results indicate that both likelihood-based and Wald-type methods consistently approach the nominal confidence level of 0.95 in all scenarios. However, with small sample sizes, the ECP of bootstrap-t and BCa bootstrap Cls tends to decrease. Conversely, as sample sizes increase, the ECPs of all Cls tend to converge towards 0.95. Moreover, for all methods, the AL of Cls substantially decreases with increasing sample size. To validate the efficacy of the Cls, they were applied to engineering and COVID-19 data, and the results aligned with those obtained from the simulation studies. In two real-world settings, this thorough evaluation shows that the proposed Cls are reliable and useful for accurately estimating the parameter of the Ram Awadh distribution. |
