Based upon the theory of L-statistics,a nonparametric procedure is developed to tcst the strict NBUE ordering between two independcnt random lives with common finite means。The consistency of the presentcd procedure i...Based upon the theory of L-statistics,a nonparametric procedure is developed to tcst the strict NBUE ordering between two independcnt random lives with common finite means。The consistency of the presentcd procedure is obtained as well。展开更多
对于冲击模型H(t)=sum from k=0 to ∞ P{N(t)=k}·P_k其中{N(t),t≥0}是更新过程,间隔时间分布函数F(t)存在有限均值,在以下情况下,我们讨论了其界值问题: ①F(t)是IFR类分布;②F(t)是DFR类分布; ③F(t)是NBUE类分布;④F(t)是NWUE...对于冲击模型H(t)=sum from k=0 to ∞ P{N(t)=k}·P_k其中{N(t),t≥0}是更新过程,间隔时间分布函数F(t)存在有限均值,在以下情况下,我们讨论了其界值问题: ①F(t)是IFR类分布;②F(t)是DFR类分布; ③F(t)是NBUE类分布;④F(t)是NWUE类分布.而且对一些特殊情况,其结论更简洁.展开更多
This paper considers an M/G/1 queue with Poisson rate lambda > 0 and service time distribution G(t) which is supposed to have finite mean 1/mu. The following questions are first studied: (a) The closed bounds of th...This paper considers an M/G/1 queue with Poisson rate lambda > 0 and service time distribution G(t) which is supposed to have finite mean 1/mu. The following questions are first studied: (a) The closed bounds of the probability that waiting time is more than a fixed value; (b)The total busy time of the server, which including the distribution, probability that are more than a fixed value during a given time interval (0, t], and the expected value. Some new and important results are obtained by theories of the classes of life distributions and renewal process.展开更多
It is proved that the right spread order is closed under the formation of parallel systems with independent and identical components. As an application,the simple upper bounds for both the mean and the variance of the...It is proved that the right spread order is closed under the formation of parallel systems with independent and identical components. As an application,the simple upper bounds for both the mean and the variance of the life length of a parallel system with independent and identical NBUE components are obtained. Furthermore,it is proved that the right spread order is also closed under increasing convex transformations under some conditions.展开更多
文摘Based upon the theory of L-statistics,a nonparametric procedure is developed to tcst the strict NBUE ordering between two independcnt random lives with common finite means。The consistency of the presentcd procedure is obtained as well。
文摘对于冲击模型H(t)=sum from k=0 to ∞ P{N(t)=k}·P_k其中{N(t),t≥0}是更新过程,间隔时间分布函数F(t)存在有限均值,在以下情况下,我们讨论了其界值问题: ①F(t)是IFR类分布;②F(t)是DFR类分布; ③F(t)是NBUE类分布;④F(t)是NWUE类分布.而且对一些特殊情况,其结论更简洁.
基金This work was suPPorted by the Natiotal Out-standing YOuth Sdence FOundstion (79725tX)2) the suPporting program of the Nat
文摘This paper considers an M/G/1 queue with Poisson rate lambda > 0 and service time distribution G(t) which is supposed to have finite mean 1/mu. The following questions are first studied: (a) The closed bounds of the probability that waiting time is more than a fixed value; (b)The total busy time of the server, which including the distribution, probability that are more than a fixed value during a given time interval (0, t], and the expected value. Some new and important results are obtained by theories of the classes of life distributions and renewal process.
文摘It is proved that the right spread order is closed under the formation of parallel systems with independent and identical components. As an application,the simple upper bounds for both the mean and the variance of the life length of a parallel system with independent and identical NBUE components are obtained. Furthermore,it is proved that the right spread order is also closed under increasing convex transformations under some conditions.
