TY - JOUR
T1 - The total time on test transform and the excess wealth stochastic orders of distributions
AU - Kochar, Subhash C.
AU - Li, Xiaohu
AU - Shaked, Moshe
PY - 2002/12
Y1 - 2002/12
N2 - For nonnegative random variables X and Y we write X ≤TTT Y if ∫0F-1(p)(1-F(x)) dx ≤ ∫0G-1(p)(1 - G(x)) dx all p ε (0 1), where F and G denote the distribution functions of X and Y respectively. The purpose of this article is to study some properties of this new stochastic order. New properties of the excess wealth (or right-spread) order, and of other related stochastic orders, are also obtained. Applications in the statistical theory of reliability and in economics are included.
AB - For nonnegative random variables X and Y we write X ≤TTT Y if ∫0F-1(p)(1-F(x)) dx ≤ ∫0G-1(p)(1 - G(x)) dx all p ε (0 1), where F and G denote the distribution functions of X and Y respectively. The purpose of this article is to study some properties of this new stochastic order. New properties of the excess wealth (or right-spread) order, and of other related stochastic orders, are also obtained. Applications in the statistical theory of reliability and in economics are included.
KW - Economic inequality measure
KW - Empirical TTT transform
KW - Excess wealth order
KW - HNBUE
KW - Increasing convex and concave orders
KW - Lorenz order
KW - NBUE
KW - Right-spread order
KW - Series and parallel systems
KW - Test for 'more NBUE'
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U2 - 10.1239/aap/1037990955
DO - 10.1239/aap/1037990955
M3 - Article
AN - SCOPUS:0036950095
SN - 0001-8678
VL - 34
SP - 826
EP - 845
JO - Advances in Applied Probability
JF - Advances in Applied Probability
IS - 4
ER -
