Operations Research Transactions ›› 2014, Vol. 18 ›› Issue (2): 103-110.

• Original Articles • Previous Articles     Next Articles

Stochastic orders and aging properties on record values

WU Jintang1,2,*   

  1. 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China, 2. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, China
  • Online:2014-06-15 Published:2014-06-15

Abstract: This paper studies stochastic orders and aging properties of record values. Any stochastic order on two underlying distributions defined only through the behavior of their distribution functions is proved to be inherited by the usual record values. It is also shown that the expected consecutive increment of usual record values preserves the excess wealth order of the underlying distributions. Aging behaviors of the consecutive increments of a sequence of k-record values are investigated as well.

Key words: increasing failure rate, new better than used, new better than used in convex order, excess wealth order, total time on test transform order

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