分布族

This paper introduces the development of Pareto Distribution Family and it's application in Economics, Sociology, Euthenics and Actuarial Statistics.

本文首先对Pareto分布的发展作了简单的介绍，并介绍了Pareto分布族在经济学、社会学、环境学、保险精算学中的广泛应用。

The exponential distribution family and minimum error theory are brought to bear combined with fact.

针对小样本和小失效数给系统可靠性分析带来的难度，以及可靠性分布函数和参数估计的不确定性和模糊性，运用指数分布族、最小误差原理等相关理论，结合实际工程经验，对这类系统的可靠性分析提出了一种新的方法。

Especially,when there are local changes among the data,and a single parametric distribution family can\'t describe the observed data accurately,finite mixing distribution models usually make excellent performance.

特别是，当观测数据有局部变化，而单一的参数分布族无法确切地描述观测数据时，有限混合分布模型表现出色。

Bayesian and empirical Bayesian theory are used to estimate the scale parameter of the double exponential distribution and the loss function and risk function of the Weibull distribution.

中文摘要：本文将贝叶斯，经验贝叶斯理论应用于双指数分布族的刻度参数估计和Weibull分布的损失函数和风险函数的估计。

This dissertation is to apply Bayesian and empirical Bayesian theory to investigate the statistical inference of parameters in one-side, two-side truncated family and one-parameter exponential family and some reliability problem.

本文将Bayes、经验Bayes理论应用于单边、双边截断型分布族、单参数指数族参数的统计推断及一类可靠性问题的研究。

In the case of NA samples, the parameter for scale exponential family is discussed using empi- rical Bayes methods. Moreover, we investigate the statistical analysis of life data in reliability tests. Firstly, based on the LINEX loss function, we obtain the empirical Bayesian estimator for parameter of the one-side truncated-type distribution families and the scale exponential family under NA samples, also discuss the estimators?

在非对称的LINEX损失函数下，我们首先给出了一类单边截断型分布族、刻度指数族参数的经验Bayes估计NA样本情形），并讨论了该估计的收敛性质，在某些条件下，证明了本文给出的经验Bayes估计是渐近最优的，且给出了收敛速度。

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。

By using the theory of the likelihood ratio test, a method for choosing prior distributions and classes of prior distribution is given.

利用似然比检验原理，给出了选取先验分布及先验分布族的似然比检验方法。

Firstly, by using the theory of the likelihood ratio test, a method of likelihood ratio test for choosing prior distributions and classes of prior distribution is given.

主要内容如下：首先，利用似然比检验原理给出了选取先验分布及先验分布族的似然比检验方法。

Then, we choose suitable classes of mean θ for normal distribution.

文中以正态分布为例，给出了均值参数θ的先验分布及先验分布族的选择方法。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。