TY - JOUR
T1 - The observed total time on test and the observed excess wealth
AU - Li, Xiaohu
AU - Shaked, Moshe
PY - 2004/7/1
Y1 - 2004/7/1
N2 - Let X be a nonnegative random variable with mean μ≤∞, and let TX be the total time on test transform of X. It has been observed in the literature that the inverse of TX is a distribution function with support (0,μ). In this paper, we identify the random variable that has this distribution, and we study some of its properties. We also study an analogous random variable that is based on what is called the excess wealth transform.
AB - Let X be a nonnegative random variable with mean μ≤∞, and let TX be the total time on test transform of X. It has been observed in the literature that the inverse of TX is a distribution function with support (0,μ). In this paper, we identify the random variable that has this distribution, and we study some of its properties. We also study an analogous random variable that is based on what is called the excess wealth transform.
KW - HNBUE
KW - IFR
KW - IFRA
KW - NBUE
KW - Pareto distribution
KW - Stochastic orders
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U2 - 10.1016/j.spl.2004.03.003
DO - 10.1016/j.spl.2004.03.003
M3 - Article
AN - SCOPUS:3042625353
SN - 0167-7152
VL - 68
SP - 247
EP - 258
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
IS - 3
ER -