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Under some moderate conditions, the prior estimate of the solutions of the system is obtained. Making use of constructing Picard iterative sequence, Doob martingale inequality, Gronwall inequality, Borel-Cantelli lemma and some fundamental inequalities, together with the uniform Lipschitz conditions, the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay is derived on the interval t0,∞.

在适当的条件下,得到了随机泛函微分方程的解的先验估计;再结合一致Lipschitz条件,通过构造Picard迭代序列,利用Doob较不等式、Gronwall不等式、Borel-Cantelli引理及一些基本不等式,得到该方程的解在区间[t0,∞]上是存在且唯一的。

This paper advances that Bayesian methods can be used to analyze small sample or single replication simulation output data, and presents some Bayesian methods and estimating method of confidence interval of Gamma distribution.

提出用Bayes方法对小样本或单次运行的仿真输出进行分析,给出了几种条件下的Bayes方法和伽玛分布置信区间的估计方法,提出了Bayes方法中先验分布的确定方法和准则。

And interval half-length is estimated.

并对区间半长作出估计。

An interval estimation method for the common mean of several non-homogeneous inverse Gaussian populations is discussed.

这篇文章里我们讨论了关於多个异质的逆高斯分配的共同平均数信赖区间的估计。

Some conditions for weakly Persistence and extinction are obtained;In the second part, we respectively use C_h space and C_g space theorem to study the existence of periodic solutions of Lotka-Volterra equation with infinite delay, in the end we get the condition of the existense of periodic solutions and estimate the interzone of it.

第二部分利用相空间理论,分别以C_h空间和C_g空间为相空间研究了具有无限时滞的Lotka-Volterra方程周期解的存在性问题,给出了周期解存在的充分条件,并估计出了周期解的存在区间。

The present paper proposes an analytical method of solution, in which operational calculus and Laplace transform are applied.

将所得结果和以前的结果对照,发现有一些差异;即过去的计算的结果一般使密度偏低,并且在变化较大的区间无法正确地估计及计算出来。本文的方法是严格的,可以知道各处的精确程度。

Consistency of change-point estimator is proved and its rate of convergence is established under weak assumptions. To construct confidence interval, the limiting distribution of change-point estimator is obtained.

在较弱的条件下证明了变点估计的一致性,并得到了佑计的收敛率;为构造变点的置信区间给出了变点的极限分布。

Based on Tsong's mean value method, we propose a procedure to test the hypothesis for pooling factors.

另外,当考虑不同因子可否合并估计一个共同有效期间时,Tsong等人提出利用平均值法进行检定,我们根据Tsong的方法提出配对信赖区间进行检定。

Keywords: Interval-censored data;nonparametric estimation;semiparametric model;nonlinear regression

中文关键词:区间删失数据;非参数估计;半参数模型;非线性回归

In order to describe the random-like feature of chaotic signal, the statistical analysis method for discrete time chaos system is studied. A domain iterative algorithm for numerical estimation of the invariant probability distribution is presented, which is the foundation for the statistical analysis and processing of chaotic signal.

针对混沌系统的随机性特征,本文研究了离散时间混沌系统的统计分析方法,并给出了一种基于Frobenius-Perron算子的区间迭代算法用于混沌映射不变分布的数值求解,该方法在样本数较少时,仍可以获得不变分布的良好估计,为混沌信号进一步的统计分析和处理奠定了基础。

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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。

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