Simulation comparison of modified confidence intervals based on robust estimators for coefficient of variation: skewed distributions case with real applications

References

• Abu-Shawiesh, M. O. A., Akyüz, H. E., & Kibria, B. M. G. (2019). Performance of some confidence intervals for estimating the population coefficient of variation under both symmetric and skewed distributions. Statistics, Optimization and Information Computing, 7, 277–290. doi:10.19139/soic.v7i2.630
   Google Scholar
• Abu-Shawiesh, M. O. A., Banik, S., & Kibria, B. M. G. (2011). A simulation study on some confidence intervals for the population standard deviation. SORT, 35, 83–102.
   Web of Science ®Google Scholar
• Albatineh, A. N., Kibria, B. M. G., Wilcox, M. L., & Zogheib, B. (2014). Confidence interval estimation for the population coefficient of variation using ranked set sampling: A simulation study. Journal of Applied Statistics, 41(4), 733–751. doi:10.1080/02664763.2013.847405
   Web of Science ®Google Scholar
• Amiri, S., & Zwanzig, S. (2010). An improvement of the nonparametric bootstrap test for the comparison of the coefficient of variations. Communications in Statistics - Simulation and Computation, 39(9), 1726–1734. doi:10.1080/03610918.2010.512693
   Web of Science ®Google Scholar
• Banik, S., Albatineh, A. N., Abu-Shawiesh, M. O. A., & Golam Kibria, B. M. (2014). Estimating the population standard deviation with confidence interval: A simulation study under skewed and symmetric conditions. International Journal of Statistics in Medical Research, 3(4), 356–367. doi:10.6000/1929-6029.2014.03.04.4
   Google Scholar
• Banik, S., & Kibria, B. M. G. (2011). Estimating the population coefficient of variation by confidence intervals. Communications in Statistics - Simulation and Computation, 40(8), 1236–1261. doi:10.1080/03610918.2011.568151
   Web of Science ®Google Scholar
• Bonett, D. G. (2006). Robust confidence interval for a ratio of standard deviations. Applied Psychological Measurement, 30(5), 432–439. doi:10.1177/014662160527955
   Web of Science ®Google Scholar
• Chankham, W., Niwitpong, S. A., & Niwitpong, S. (2022). Measurement of dispersion of PM 2.5 in Thailand using confidence intervals for the coefficient of variation of an inverse Gaussian distribution. PeerJ, 10, e12988. doi:10.7717/peerj.12988
   PubMed Web of Science ®Google Scholar
• Consulin, C. M., Ferreira, D., Rodrigues de Lara, I. A., De Lorenzo, A., di Renzo, L., & Taconeli, C. A. (2018). Performance of coefficient of variation estimators in ranked set sampling. Journal of Statistical Computation and Simulation, 88(2), 221–234. doi:10.1080/00949655.2017.1381959
   Web of Science ®Google Scholar
• Curto, J. D., & Pinto, J. C. (2009). The coefficient of variation asymptotic distribution in the case of non-iid random variables. Journal of Applied Statistics, 36(1), 21–32. doi:10.1080/02664760802382491
   Web of Science ®Google Scholar
• Doğan, C. D. (2017). Applying bootstrap resampling to compute confidence intervals for various statistics with R. Eurasian Journal of Educational Research, 17(68), 1–18. doi:10.14689/ejer.2017.68.1
   Google Scholar
• Forkman, J. (2009). Estimator and tests for common coefficients of variation in normal distributions. Communications in Statistics - Theory and Methods, 38(2), 233–251. doi:10.1080/03610920802187448
   Web of Science ®Google Scholar
• Gulhar, M., Kibria, B. M. G., & Albatineh, A. N. (2012). A comparison of some confidence intervals for estimating the population coefficient of variation: A simulation study. SORT, 36, 45–68.
   Web of Science ®Google Scholar
• Hendricks, W. A., & Robey, K. W. (1936). The sampling distribution of the coefficient of variation. The Annals of Mathematical Statistics, 7(3), 129–132. doi:10.1214/aoms/1177732503
   Google Scholar
• Johnson, R. E., & McFarland, B. H. (1993). Antipsychotic drug exposure in a health maintenance organization. Medical Care, 31(5), 432–444. doi:10.1097/00005650-199305000-00005
   PubMed Web of Science ®Google Scholar
• La-Ongkaew, M., Niwitpong, S. A., & Niwitpong, S. (2022). Estimation of the confidence interval for the ratio of the coefficients of variation of two Weibull distributions and its application to wind speed data. Symmetry, 15(1), 46. doi:10.3390/sym15010046
   Google Scholar
• Lawless, J. F. (2011). Statistical models and methods for lifetime data. Hoboken, NJ: John Wiley and Sons.
   Google Scholar
• Miller, E. G. (1991). Asymptotic test statistics for coefficient of variation. Communications in Statistics - Theory and Methods, 20(10), 3351–3363. doi:10.1080/03610929108830707
   Web of Science ®Google Scholar
• Nam, J. M., & Kwon, D. (2017). Inference on the ratio of two coefficients of variation of two lognormal distributions. Communications in Statistics - Theory and Methods, 46(17), 8575–8587. doi:10.1080/03610926.2016.1185118
   Web of Science ®Google Scholar
• Niwitpong, S. (2013). Confidence intervals for coefficient of variation of lognormal distribution with restricted parameter space. Applied Mathematical Sciences, 7, 3805–3810. doi:10.1007/978-3-030-04263-9_27
   Google Scholar
• Niwitpong, S-a., Niwitpong, S., & Thangjai, W. (2019). Simultaneous confidence intervals for all differences of coefficients of variation of log-normal distributions. Hacettepe Journal of Mathematics and Statistics, 48, 1–17. doi:10.15672/hujms.454804
   Web of Science ®Google Scholar
• Panichkitkosolkul, W. (2015). Confidence interval for the coefficient of variation in a normal distribution with a known population mean after a preliminary t test. KMITL Science and Technology Journal, 15, 34–46.
   Google Scholar
• Puggard, W., Niwitpong, S. A., & Niwitpong, S. (2022). Confidence intervals for common coefficient of variation of several Birnbaum–Saunders distributions. Symmetry, 14(10), 2101. doi:10.3390/sym14102101
   Google Scholar
• Rao, G. S., Aslam, M., Sherwani, R. A. K., Shehzad, M. A., & Jun, C. H. (2022). Generalized multiple dependent state sampling plans for coefficient of variation. Communications in Statistics - Theory and Methods, 51(20), 6990–7005. doi:10.1080/03610926.2020.1869989
   Web of Science ®Google Scholar
• Rosenkranz, G. K. (2010). A note on the Hodges–Lehmann estimator. Pharmaceutical Statistics, 9(2), 162–167. doi:10.1002/pst.387
   PubMed Web of Science ®Google Scholar
• Sangnawakij, P., Niwitpong, S., & Niwitpong, S. (2015). Confidence intervals for the ratio of coefficients of variation of the gamma distributions. In Integrated uncertainty in knowledge modelling and decision making. Lecture Notes in Computer Science (vol. 9376, pp. 193–203). Cham: Springer. doi:10.1007/978-3-319-25135-6_19
   Google Scholar
• Santiago, E., & Smith, J. (2013). Control charts based on the exponential distribution: Adapting runs rules for the t chart. Quality Engineering, 25(2), 85–96. doi:10.1080/08982112.2012.740646
   Web of Science ®Google Scholar
• Shahzad, U., Ahmad, I., García-Luengo, A. V., Zaman, T., Al-Noor, N. H., & Kumar, A. (2023). Estimation of coefficient of variation using calibrated estimators in double stratified random sampling. Mathematics, 11(1), 252. doi:10.3390/math11010252
   Web of Science ®Google Scholar
• Thangjai, W., Niwitpong, S. A., & Niwitpong, S. (2020). Adjusted generalized confidence intervals for the common coefficient of variation of several normal populations. Communications in Statistics - Simulation and Computation, 49(1), 194–206. doi:10.1080/03610918.2018.1484138
   Web of Science ®Google Scholar