IRLE IRLE WORKING PAPER # 114 - 05 March 2005
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Level-crossing Ordering of Semi-markov Processes and Markov Chains
We extend the definition of level-crossing ordering of stochastic processes, proposed by Irle andGani (2001), to the case in which the times to exceed levels are compared using an arbitrary stochastic order, and work, in particular, with integral stochastic orders closed for convolution. Using a sample-path approach, we establish level-crossing ordering results for the case in which the slower ...
متن کاملLevel Crossing Ordering of Skip-free-to-the-right Continuous-time Markov Chains
As proposed by Irle and Gani in 2001, a process X is said to be slower in level crossing than a process Y if it takesX stochastically longer to exceed any given level than it does Y . In this paper, we extend a result of Irle (2003), relative to the level crossing ordering of uniformizable skip-free-to-the-right continuous-time Markov chains, to derive a new set of sufficient conditions for the...
متن کاملTheoretical study of cellobiose hydrolysis to glucose in ionic liquids
http://dx.doi.org/10.1016/j.cplett.2014.04.014 0009-2614/ 2014 Elsevier B.V. All rights reserved. ⇑ Corresponding authors at: Department of Chemistry, Graduate School of Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602, Japan. E-mail addresses: [email protected] (D. Yokogawa), sirle@chem. nagoya-u.ac.jp (S. Irle). Yoshifumi Nishimura , Daisuke Yokogawa a,c,⇑, Steph...
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تاریخ انتشار 2005