Ordering properties of largest order statistics from independent and heterogeneous Dagum populations

References

• Balakrishnan, N., Rao, C.R. (Eds.). 1998a. Handbook of statistics, Vol.16-Order statistics: Theory and methods. Amsterdam: North-Holland.
   Google Scholar
• Balakrishnan, N., Rao, C.R. (Eds.). 1998b. Handbook of statistics, Vol.17-Order statistics: Applications. Amsterdam: North-Holland.
   Google Scholar
• Balakrishnan, N., A. Haidari, and K. Masoumifard. 2015. Stochastic comparisons of series and parallel systems with generalized exponential components. IEEE Transactions on Reliability 64 (1):333–48. doi:10.1109/TR.2014.2354192.
   Web of Science ®Google Scholar
• Balakrishnan, N., and P. Zhao. 2013. Ordering properties of order statistics from heterogeneous populations: A review with an emphasis on some recent developments. Probability in the Engineering and Informational Sciences 27 (04):403–69 (with discussions). doi:10.1017/S0269964813000156.
   Web of Science ®Google Scholar
• Dagum, C. 1996. A systematic approach to the generation of income distribution models. Journal of Income Inequality 6:105–26.
   Google Scholar
• Domma, F. 2007. Asymptotic distribution of the maximum likelihood estimators of the parameters of the right-truncated Dagum distribution. Communication in Statistics-Simulation and Computation 36 (6):1187–99. doi:10.1080/03610910701569523.
   Web of Science ®Google Scholar
• Domma, F., S. Giordano, and M. Zenga. 2011. Maximum likelihood estimation in Dagum distribution with censored sample. Journal of Applied Statistics 38 (12):2971–85.
   Web of Science ®Google Scholar
• Dagum, C. 2006. Wealth distribution models: Analysis and applications. Statistica 16:235–68.
   Google Scholar
• Dykstra, R., S. C. Kochar, and J. Rojo. 1997. Stochastic comparisons of parallel systems of heterogeneous exponential components. Journal of Statistical Planning and Inference 65 (2):203–11. doi:10.1016/S0378-3758(97)00058-X.
   Web of Science ®Google Scholar
• Fang, L., and X. Zhang. 2012. New results on stochastic comparison of order statistics from heterogeneous Weibull populations. Journal of the Korean Statistical Society 41 (1):13–6. doi:10.1016/j.jkss.2011.05.004.
   Web of Science ®Google Scholar
• Genest, C., S. C. Kochar, and M. Xu. 2009. On the range of heterogeneous samples. Journal of Multivariate Analysis 100 (8):1587–92. doi:10.1016/j.jmva.2009.01.001.
   Web of Science ®Google Scholar
• Khaledi, B., and S. C. Kochar. 2000. Some new results on stochastic comparisons of parallel systems. Journal of Applied Probability 37 (04):1123–8. doi:10.1017/S0021900200018301.
   Google Scholar
• Khaledi, B., and S. C. Kochar. 2006. Weibull distribution: Some stochastic comparisons results. Journal of Statistical Planning and Inference 136 (9):3121–9. doi:10.1016/j.jspi.2004.12.013.
   Web of Science ®Google Scholar
• Kundu, A., S. Chowdhury, A. Nanda, and N. Hazra. 2016. Some results on majorization and their applications. Journal of Computational and Applied Mathematics 301:161–77.
   Web of Science ®Google Scholar
• Marshall, A. W., I. Olkin, and B. C. Arnold. 2011. Inequalities: Theory of majorization and its applications. New York: Springer.
   Google Scholar
• Marshall, A. W., and I. Olkin. 2007. Life distributions. New York: Springer.
   Google Scholar
• Quintano, C., and A. D’Agostino. 2010. Studying inequality in income distribution of single-person households in four developed countries. Review of Income and Wealth 32:525–46. doi:10.1111/j.1475-4991.2006.00206.x.
   Google Scholar
• Shaked, M., and J. G. Shanthikumar. 2007. Stochastic orders. New York: Springer.
   Google Scholar
• Zenga, M., F. Domma, and G. Latorre. 2007. The Dagum distribution in reliability analysis. Statistica & Applicazioni 46 (2):97–113.
   Google Scholar
• Zhang, Y., and P. Zhao. 2017. On the maxima of heterogeneous gamma variables. Communications in Statistics – Theory and Methods 46 (10):5056–71. doi:10.1080/03610926.2015.1091084.
   Web of Science ®Google Scholar
• Zhao, P., L. Wang, and Y. Zhang. 2017. On extreme order statistics from heterogeneous beta distributions with applications. Communications in Statistics – Theory and Methods 46 (14):7020–38. doi:10.1080/03610926.2016.1143007.
   Web of Science ®Google Scholar