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71.
Certain Partial Orders on Semigroups 总被引:1,自引:0,他引:1
Mario Petrich 《Czechoslovak Mathematical Journal》2001,51(2):415-432
Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on general, regular, completely semisimple and completely regular semigroups. Special properties of these relations as well as possible coincidence of some of them are investigated in some detail. The properties considered are mainly those of being a partial order or compatibility with multiplication. Coincidences of some of these relations are studied mainly on regular and completely regular semigroups. 相似文献
72.
The proportional reversed hazards model consists in describing random failure times by a family {[F(x)]θ, θ>0} of distribution functions, where F(x) is a baseline distribution function. We show various results on this model related to some topics in reliability theory, including ageing notions of random lifetimes, comparisons based on stochastic orders, and relative ageing of distributions. 相似文献
73.
Some results on the residual life at random time 总被引:2,自引:0,他引:2
In this paper, we consider the residual life at random time, i.e.X
Y
=X−Y\X>Y, whereX andY are non-negative random variables. We establish a number of stochastic comparison properties forX
Y
under various assumptions ofX andY. Under the assumption thatY has decreasing reverse hazard rate (DRHR), we show that ifX is in any one of the classes IFR, DFR, DMRL or IMRL thenX
Y
is in the same class asX. We also obtain some useful bounds for the distribution and the moment ofX
Y
. Because the idle time in classicalGI/G/1 queuing system can be regarded as the residual life at random time, the results obtained in this paper have applications
in the study of such system.
This work is supported by the National Natural Science Foundation of China. 相似文献
74.
The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics 总被引:1,自引:0,他引:1
In this paper we first point out a simple observation that can be used successfully in order to translate results about the hazard rate order into results about the reversed hazard rate order. Using it, we derive some interesting new results which compare order statistics in the hazard and in the reversed hazard rate orders; as well as in the usual stochastic order. We also simplify proofs of some known results involving the reversed hazard rate order. Finally, a few further applications of the observation are given. 相似文献
75.
76.
采用构造相容分布与非负上鞅的方法研究任意信源随机和相对熵密度的强极限定理,并由此得出若干任意信源,m阶马氏信源,无记忆信源的随机Shannon-Mcmillan定理.将已有的关于离散信源的结果加以推广. 相似文献
77.
78.
Alexander V. Balatsky Pavel O. Sukhachov Sumanta Bandyopadhyay 《Annalen der Physik》2020,532(2):1900529
The concept of the time-independent correlators for the even- and odd-frequency pairing states that can be defined for both bosonic and fermionic quasiparticles is proposed. These correlators explicitly capture the existence of two distinct classes of pairing states and provide a direct probe of the hidden Berezinskii order. This concept is illustrated in the cases of pairings for Majorana fermions and quasiparticles in Dirac semimetals. It is shown that the time-independent correlator is able to effectively capture the energy scale relevant for pairing. 相似文献
79.
80.