TY - JOUR
T1 - Some results about MIT order and IMIT class of life distributions
AU - Li, Xiaohu
AU - Xu, Maochao
PY - 2006/7
Y1 - 2006/7
N2 - We investigate some new properties of mean inactivity time (MIT) order and increasing MIT (IMIT) class of life distributions. The preservation property of MIT order under increasing and concave transformations, reversed preservation properties of MIT order, and IMIT class of life distributions under the taking of maximum are developed. Based on the residual life at a random time and the excess lifetime in a renewal process, stochastic comparisons of both IMIT and decreasing mean residual life distributions are conducted as well.
AB - We investigate some new properties of mean inactivity time (MIT) order and increasing MIT (IMIT) class of life distributions. The preservation property of MIT order under increasing and concave transformations, reversed preservation properties of MIT order, and IMIT class of life distributions under the taking of maximum are developed. Based on the residual life at a random time and the excess lifetime in a renewal process, stochastic comparisons of both IMIT and decreasing mean residual life distributions are conducted as well.
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U2 - 10.1017/s0269964806060293
DO - 10.1017/s0269964806060293
M3 - Article
AN - SCOPUS:33745671657
SN - 0269-9648
VL - 20
SP - 481
EP - 496
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 3
ER -