20.500.12556/RUL-185007 Improving the performance of bootstrap Edgeworth-based confidence interval for the mean of positively skewed distributions The mean can be an important metric, even when the data distribution is asymmetric. Current confidence intervals for the population mean do not attain the nominal confidence level for small to medium samples drawn from skewed distributions, except for the recently introduced bootstrap Edgeworth-based confidence interval. The limitation of the new method is its potential to produce long intervals for small samples. In this study, we explored various variants of this confidence interval that utilize different estimators of skewness and excess kurtosis. We assessed their performance by analyzing the coverage probability, mean interval length and the coefficient of variation of the length, using small to medium random samples drawn from a range of positively skewed distributions. The performance of four best-performing variants was compared to the bootstrap t, percentile, BC, and BCa confidence intervals. The improved bootstrap Edgeworth-based confidence interval demonstrated superior performance compared to other bootstrap confidence intervals regarding coverage probability, making it a strong recommendation for practical application. bootstrap confidence interval Edgeworth expansion kurtosis skewness bootstrap interval zaupanja Edgeworthov razvoj sploščenost asimetrija true false true Angleški jezik Slovenski jezik Članek v reviji 2026-07-20 13:26:23 2026-07-20 13:26:24 2026-07-21 04:02:46 0000-00-00 00:00:00 2026 0 0 Str. 1-38 no. Vol. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.22:519.233 0361-0918 10.1080/03610918.2026.2688384 285004803 RAZ_Veljkovic_Kristina_2026.pdf RAZ_Veljkovic_Kristina_2026.pdf 1 F3B3DA2238BEFA9B5DDADE8F34061CC6 d1fbda4a5d1010833ed2ddd23d4578e0d92b6f49dffd2eeadb383893bc7a5863 ea2a08d9-842d-11f1-9b0d-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=240494 https://www.tandfonline.com/doi/full/10.1080/03610918.2026.2688384 1 9b726bc1-842d-11f1-9b0d-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=240493 Fakulteta za računalništvo in informatiko 0 0 0