References
- La Haye R, Zizler P. The Gini mean difference and variance. Metron. 2019;77:43–52. doi: 10.1007/s40300-019-00149-2
- Rohatgi VK, Saleh AME. An introduction to probability and statistics. New York: John Wiley & Sons; 2015.
- Sordo MA, de Souza MC, Suárez-Llorens A. Testing variability orderings by using Gini's mean differences. Stat Methodol. 2016;32:63–76. doi: 10.1016/j.stamet.2016.03.001
- Shaked M, Shanthikumar JG. Stochastic orders. New York: Springer Verlag; 2007.
- Nelsen RB. An introduction to copulas. New York: Springer-Verlag; 2006.
- Durante F, Sempi C. Principles of copula theory. Boca Raton, FL: CRC Press; 2015.
- Amemiya T. Asymptotic properties of extremum estimators. In: Advanced econometrics. Harvard University Press; 1985. p. 105–158.
- Calvo T, Beliakov G. Aggregation functions based on penalties. Fuzzy Sets Syst. 2010;161(10):1420–1436. doi: 10.1016/j.fss.2009.05.012
- Grabisch M, Marichal JL, Mesiar R. Aggregation functions. Cambridge: Cambridge University Press; 2009.
- Marshall AW, Olkin I. Families of multivariate distributions. J Am Stat Assoc. 1988;83(403):834–841. doi: 10.1080/01621459.1988.10478671
- Mulero J, Pellerey F, Rodríguez-Grinolo R. Stochastic comparisons for time transformed exponential models. Insur Math Econ. 2010;46(2):328–333. doi: 10.1016/j.insmatheco.2009.11.006
- Müller A. Stochastic orders generated by integrals: a unified study. Adv Appl Probab. 1997;29(2):414–428. doi: 10.2307/1428010
- Barrett GF, Donald SG. Consistent tests for stochastic dominance. Econometrica. 2003;71(1):71–104. doi: 10.1111/ecta.2003.71.issue-1
- MacFadden D. Testing for stochastic dominance. In: Fomby TB, Seo TK, editors. Studies in the economics of uncertainty: In honor of Josef Hadar. New York (NY): Springer; 1989, p. 113–134.
- Tse YK, Zhang X. A Monte Carlo investigation of some tests for stochastic dominance. J Stat Comput Simul. 2004;74(5):361–378. doi: 10.1080/00949650310001593221
- Baringhaus L, Gruebel R. Nonparametric two-sample tests for increasing convex order. Bernoulli. 2009;15(1):99–123. doi: 10.3150/08-BEJ151
- Liu X, Wang J. Testing for increasing convex order in several populations. Ann Inst Stat Math. 2003;55:121–136.
- Zardasht V. A test for the increasing convex order based on the cumulative residual entropy. J Korean Stat Soc. 2015;44:491–497. doi: 10.1016/j.jkss.2015.01.002