MULTIVARIATE STOCHASTIC COMPARISONS OF SEQUENTIAL ORDER STATISTICS

In this article we investigate conditions on the underlying distribution functions on which the sequential order statistics are based, to obtain stochastic comparisons of sequential order statistics in the multivariate likelihood ratio, the multivariate hazard rate, and the usual multivariate stochastic orders. Some applications of the main results are also given.

[1]  B. Rao,et al.  Characterization of Probability Distributions via Binary Associative Operation , 2003 .

[2]  Udo Kamps,et al.  Bounds for means and variances of progressive type II censored order statistics , 2001 .

[3]  Félix Belzunce,et al.  STOCHASTIC COMPARISONS OF GENERALIZED ORDER STATISTICS , 2005, Probability in the Engineering and Informational Sciences.

[4]  Khaledi B.A.D.,et al.  SOME NEW RESULTS ON STOCHASTIC ORDERINGS BETWEEN GENERALIZED ORDER STATISTICS , 2005 .

[5]  Udo Kamps,et al.  Ch. 12. Sequential k-out-of-n systems , 2001 .

[6]  Félix Belzunce,et al.  Multivariate aging properties of epoch times of nonhomogeneous processes , 2003 .

[7]  Udo Kamps,et al.  A concept of generalized order statistics , 1995 .

[8]  Udo Kamps,et al.  Marginal distributions of sequential and generalized order statistics , 2003 .

[9]  José Ruiz,et al.  STOCHASTIC ORDERINGS BETWEEN SPACINGS OF GENERALIZED ORDER STATISTICS , 2002, Probability in the Engineering and Informational Sciences.

[10]  Taizhong Hu,et al.  A note on stochastic comparisons of generalized order statistics , 2005 .

[11]  Moshe Shaked,et al.  STOCHASTIC COMPARISONS OF NONHOMOGENEOUS PROCESSES , 2001, Probability in the Engineering and Informational Sciences.

[12]  Subhash C. Kochar,et al.  Dependence orderings for generalized order statistics , 2005 .

[13]  STOCHASTIC ORDERINGS BETWEEN p-SPACINGS OF GENERALIZED ORDER STATISTICS FROM TWO SAMPLES , 2006, Probability in the Engineering and Informational Sciences.

[14]  Moshe Shaked,et al.  Stochastic orders and their applications , 1994 .

[15]  Taizhong Hu,et al.  STOCHASTIC PROPERTIES OF p-SPACINGS OF GENERALIZED ORDER STATISTICS , 2005, Probability in the Engineering and Informational Sciences.