查询词典 exponential distribution

Combining NA samples the EB estimation with convergence rates is also obtained; Thirdly, for one-parameter exponential distribution family, we give the parameters' EB estimator that is admissible and asymptotically optimal with convergence rates. Finally, Bayesian and hierarchical Bayesian approaches are applied to analyze the reliability performances for series system with cold standby units and the numerical simulation results show that multiple Bayes estimator is superior to Bayes estimator.

其次，针对一类双边截断分布族，在非对称linex损失下构造了经验Bayes决策函数，建立了它的收敛速度，给出了渐近最优的证明；并结合NA样本研究了参数的经验Bayes估计及其收敛速度；接着给出了指数族参数的经验Bayes估计，证明了它是渐近最优的，也是可容许的，同时也获得了该EB估计的收敛速度；最后，运用Bayes与多层Bayes方法研究了具有冷贮备部件串联系统的可靠性指标的估计，并给出了数值模拟结果，结果表明多层Bayes估计优于Bayes估计。

Finally, the Fiducial inference for the parameter's functions of exponential distribution based on the type Ⅱ censoring observations is given. Simulation study shows that the Fiducial inference is quite accurate.

本文最后还讨论了指数分布在定时截尾情形下参数函数的Fiducial推断问题；并进行了模拟研究，结果表明推断精度很高。

Exponential distribution of small size is a proof that there is intermittency in small size, and more and more intermittent in more and more small size.

小尺度的指数分布说明小尺度上的间歇性，并且随着尺度的减小，间歇性增强。

Using inverse function to generate exponential distribution random number, introduce new algorithm, namely Maclaurin Equation, which is easy to be implemented by Hardware, use Maclaurin Equation to extend the function of Logarithm, make it compose by addition, division and multiple.

对于反函数法产生指数分布的随机数，提出易于硬件实现的算法结构——麦克劳林展开法，先用麦克劳林展开式展开对数函数，把对数函数转换成一系列乘、加、除运算。

Empirical Bayes estimates of steady-state availability in exponential distribution model;2. Using vector Markov process theory and Laplace transform method,we obtain the Laplace transform of the reliability,the mean time to first failure,the steady-state availability and the steady-state failure frequency and so.

利用向量Markov过程理论和Laplace变换的方法，求出了系统可靠度的Laplace变换，系统首次故障前平均时间的表达式，系统的稳态可用度和稳态故障频度等可靠性指标；此外，还通过数值比较考察了系统参数对系统稳态可用度的影响，并对系统进行了效益分析。

Using the characteristic found,the maximum likelihood estimators and the moment estimator s of parameters of the multivariate exponential distribution of Freund are obtained.

利用分布密度分拆的思想，导出了二元及多元Freund型指数分布的一个特征，利用该特征，获得了二元及多元Freund型指数分布参数的最大似然估计及矩估计，还给出了强度服从二元Fre-und型指数分布时并联结构系统的可靠度估计及模拟。

Exponential distribution ; estimation of parameters ; strong convergence rate ; mean square convergence rate ; indicators of reliability ; Monte-Carlo simulation

指数分布；参数估计；强收敛速度；均方收敛速度；可靠性指标；蒙特卡罗模拟

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

Risk model ; claims ; mixed exponential distribution ; bankruptcy probability

风险模型；理赔额；混合指数分布；破产概率

This research used two kinds of structural form model, LS-LT, KMV, and a reduced form model, Poisson and exponential distribution model.

本研究所使用的违约机率评估模型，包括了LS-LT、KMV两种结构式模型，与普瓦松─指数分配之简化模型。

Mr. Putin said there were signs of genocide against the Ossetian people.

普京说，有迹象表明对南奥塞梯人进行了种族清洗。

What I'm trying to say, Tristan is...

特瑞斯坦。我想说的是。