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Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributions


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  • Karlin, Samuel
  • Rinott, Yosef


Let X = (X1, X2,..., Xn) be a random vector in Rn (Euclidean n-space) with density f(x). X or f(x) is said to be multivariate reverse rule of order 2 (MRR2) if f(x [curly logical or] y) f(x [curly logical and] y)

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Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 10 (1980)
Issue (Month): 4 (December)
Pages: 499-516

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Handle: RePEc:eee:jmvana:v:10:y:1980:i:4:p:499-516

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Cited by:
  1. Khaledi, Baha-Eldin & Kochar, Subhash, 2000. "Stochastic Comparisons and Dependence among Concomitants of Order Statistics," Journal of Multivariate Analysis, Elsevier, vol. 73(2), pages 262-281, May.
  2. Michael Chwe, 2006. "Statistical Game Theory," Theory workshop papers 815595000000000004, UCLA Department of Economics.
  3. Huang, Wen-Tao & Xu, Bing, 2002. "Some maximal inequalities and complete convergences of negatively associated random sequences," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 183-191, April.
  4. Hu, Taizhong & Yang, Jianping, 2004. "Further developments on sufficient conditions for negative dependence of random variables," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 369-381, February.
  5. Burkschat, M., 2009. "Multivariate dependence of spacings of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 100(6), pages 1093-1106, July.
  6. Hu, Taizhong & Xie, Chaode, 2006. "Negative dependence in the balls and bins experiment with applications to order statistics," Journal of Multivariate Analysis, Elsevier, vol. 97(6), pages 1342-1354, July.
  7. Hu, Taizhong & Hu, Jinjin, 1999. "Sufficient conditions for negative association of random variables," Statistics & Probability Letters, Elsevier, vol. 45(2), pages 167-173, November.
  8. da Costa Bueno, Vanderlei, 2005. "Minimal standby redundancy allocation in a k-out-of-n:F system of dependent components," European Journal of Operational Research, Elsevier, vol. 165(3), pages 786-793, September.
  9. Pascal Jordan & Martin Spiess, 2012. "Generalizations of Paradoxical Results in Multidimensional Item Response Theory," Psychometrika, Springer, vol. 77(1), pages 127-152, January.
  10. Lu, I-Li & Richards, Donald, 1996. "Total positivity properties of the bivariate diagonal natural exponential families," Statistics & Probability Letters, Elsevier, vol. 26(2), pages 119-124, February.


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