Author
Xiaohu Li
Other affiliations: University of Texas at San Antonio, University of New Orleans, Lanzhou University ...read more
Bio: Xiaohu Li is an academic researcher from Stevens Institute of Technology. The author has contributed to research in topics: Stochastic ordering & Redundancy (engineering). The author has an hindex of 30, co-authored 166 publications receiving 2573 citations. Previous affiliations of Xiaohu Li include University of Texas at San Antonio & University of New Orleans.
Papers published on a yearly basis
Papers
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TL;DR: In this paper, the authors studied the properties of the right-spread order and other related stochastic orders, and applied them in the statistical theory of reliability and in economics, respectively.
Abstract: For nonnegative random variable X and Y we write X less than or equal to(TTT) Y if integral(0)(F 1(p)) (1-F(x))dx less than or equal to integral(0)(G-1(p)) (1-G(x))dx all p epsilon (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.
91 citations
TL;DR: In this article, the authors established some stochastic comparisons on inactivity time and the residual life of series and parallel systems, respectively, and some applications are presented as well, where the authors considered a reliability conception dual to residual life.
Abstract: Inactivity time is a reliability conception dual to the residual life. In this article, we establish some stochastic comparisons on inactivity time and the residual life of series and parallel systems, respectively. Some applications are presented as well.
74 citations
TL;DR: The likelihood ratio order and the hazard rate order of the extremal values and their adjacent order statistics are built and some applications of the comparison results in TTE model and its dual version, auction theory and k -out-of- n reliability systems are presented.
71 citations
TL;DR: Stochastic comparison on the residual life and the inactivity time of two systems with stochastically ordered signatures with independent and identical components is conducted.
Abstract: This paper investigates coherent systems with independent and identical components. Stochastic comparison on the residual life and the inactivity time of two systems with stochastically ordered signatures is conducted. Copyright © 2008 John Wiley & Sons, Ltd.
71 citations
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TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.
Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …
33,785 citations
TL;DR: It can be concluded that the application of the CBM technique is more realistic, and thus more worthwhile to apply, than the TBM one, however, further research on CBM must be carried out in order to make it more realistic for making maintenance decisions.
729 citations
698 citations
TL;DR: The author does an admirable job of explaining the differences between Bayesian probability and the frequentist notion of probability, showing that, philosophically, only the Bayesian makes sense.
Abstract: (2003). Comparison Methods for Stochastic Models and Risks. Technometrics: Vol. 45, No. 4, pp. 370-371.
611 citations
TL;DR: A new book enPDFd comparison methods for queues and other stochastic models that can be a new way to explore the knowledge and one thing to always remember in every reading time, even step by step is shown.
Abstract: Studies stochastic models of queueing, reliability, inventory, and sequencing in which random influences are considered. One stochastic mode--rl is approximated by another that is simpler in structure or about which simpler assumptions can be made. After general results on comparison properties of random variables and stochastic processes are given, the properties are illustrated by application to various queueing models and questions in experimental design, renewal and reliability theory, PERT networks and branching processes.
472 citations