查询词典 exponential function

The objective of this paper is to estimate the parameters of generalized exponential family ARMA models and construct the confidence intervals of the parameters. In this paper we divided the problem into continuous type situation and discrete type situation.

本文针对广义指数族ARMA模型，分为连续型指数族和离散型指数族两种情况讨论模型的参数估计，并运用不同的Bootstrap方法构造参数的置信区间和置信带。

This paperpoints out that a family of exponential distributions may be used as a federal model forthe probability distribution of such errors, which includes the Gaussisn distr...

为此，本文用指数分布族作为误差分布的通用模型以概括其一般情况，它使得常用的正态分布成为其中下降斜率指数α=2的特例。

The early references include -[5], which are based on the linear models or generalized linear models; on the other hand, [6]-[10] are those based on the nonlinear models which are more practical. But they are all restricted in the exponential family of distributions. That will not practice in most of the trials. Although being the most flexible among them, the estimation methods in [1] has many disadvantages for requiring the model to be generalized linear. Based on [1], this paper extended the method to the generalized nonlinear model.

较早的如[1]-[5]，他们都是基于线性或广义线性模型进行分析研究；而基于更为实用的非线性模型的研究则有：[6]-[10]等，他们大多由于模型要求数据属于指数分布族或者模型假定为线性模型，这都限制了模型的实用性，其中以[1]所提的一系列广义线性估计方程实用范围较广，但其模型中要求的广义线性模型还是具有一定的局限性。

Likelihood inference will be developed using the exponential family of distributions. Extensions to quasi-likelihood methods will also be discussed, which allow the relaxation of some model assumptions.

运用指数族分布发展似然推断，还将讨论允许放松一些模型假设的准似然方法的扩展。

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。

Exponential family of distributions...

大家庭尤指三代以上同堂者

By using the kernel-type density estimation in the case of identically distributed and negatively associated samples, the empirical Bayes test rules for the scale exponential family are constructed, and the asymptotically optimal property is obtained.

本文利用同分布负相协样本情形概率密度函数的核估计构造了刻度指数族参数的经验Bayes检验函数，并获得了它的渐近最优

We definite and study the very extensive nonlinear random effect models, i. e. exponential family nonlinear models with random effect, then we employ the Laplace methods to deal with these models. Based on this method, the fixed effect parameter estimates and Gauss-Newton formula are obtained. Some asymptotic properties of estimate are proved under some mild assumptions.

首次定义并研究了一类非常广泛的非线性随机效应模型-指数族非线性随机效应模型，并应用Laplace展开方法，给出该模型中固定效应参数的估计以及Gauss Netown选代算法，同时讨论了参数估计的渐近性质。

For separable and continous exponential family models (such as normal, gamma, and inverse Gaussian models), this paper discusses the tests for departures from nominal dispersion in the framework of longitudinal nonlinear models with varying dispersion and/or random effects. The score test statistics are constructed and their asymptotic distributions and local powers are derived.

本文针对可分的连续型指数族回归模型（如正态模型，Γ模型，逆高斯模型），讨论广义非线性纵向数据模型中偏离名义离差的检验问题，得到了检验的score统计量，并推导了它们的渐近分布和局部近似功效。

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。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。