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Communications in Statistics - Theory and Methods Volume 46, 2017 - Issue 24
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Original Articles

Some results on dependent random variables and a connection with the multivariate s-increasing convex order

Milto HadjikyriakouSchool of Sciences, University of Central Lancashire, Pyla, Larnaka, CyprusCorrespondence[email protected]
Pages 12087-12102 | Received 21 Apr 2016, Accepted 25 Jan 2017, Published online: 31 Aug 2017

References

  • Chen, P., S. Gan, and J. Liu. 1999. The Hàjeck-Rènyi inequality for the NA random variables and its application. Statistics & Probability Letters 43:99–105.
  • Christofides, T. C. 2003. Maximal inequalities for N-demimartingales. Archiv Inequalities and Applications 50:397–408.
  • Christofides, T. C., and E. Vaggelatou. 2004. A connection between supermodular ordering and positive/negative association. Journal of Multivariate Analysis 88:138–51.
  • Denuit, M., C. Lefevre, and M. H. Mesfioui. 1999. A class of bivariate stochastic orderings, with applications in actuarial sciences. Insurance: Mathematics and Economics 24:31–50.
  • Denuit, M., J. Dhaene, and C. Ribas. 2001. Does positive dependence between individual risks increase stop-loss premiums?. Insurance: Mathematics and Economics 28:305–8.
  • Denuit, M., and M. Mesfioui. 2010. Generalized increasing convex and directionally convex orders. Journal of Applied Probability 47:264–76.
  • Denuit, M., and M. Mesfioui. 2013. Ordering functions of random vectors, with application to partial sums. Journal of Theoretical Probability 26:474–9.
  • Esary, J., F. Proschan, and D. Walkup. 1967. Association of random variables with applications. The Annals of Mathematical Statistics 38:1466–74.
  • Joag-Dev, K., and F. Proschan. 1983. Negative association of random variables with applications. Annals of Statistics 11:286–95.
  • Müller, A., and D. Stoyan. 2002. Comparison methods for stochastic models and risks. New York: Wiley.
  • Newman, C. M., and A. L. Wright. 1982. Associated random variables and martingale inequalities. Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 59:361–71.
  • Prakasa Rao, B. L. S. 2012. Associated sequences, demimartingales and nonparametric inference. Basel: Birkhäuser.
  • Roberts, A. W., and D. E. Varberg. 1973. Convex functions. New York: Academic Press.
  • Schucany, W. R., W. C. Parr, and J. E. Boyer. 1978. Correlation structure in Farlie–Gumbel–Morgenstern distributions. Biometrika 65:650–3.
  • Shaked, M., and J. G. Shanthikumar. 2007. Stochastic orders. Springer Science & Business Media.
  • Shao, Q. M. 2000. A comparison theorem on moment inequalities between negatively associated and independent random variables. Journal of Theoretical Probability 13:343–56.
  • Sordo, M. A. 2016. A multivariate extension of the increasing convex order to compare risks. Insurance: Mathematics and Economics 68:224–30.

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