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经验bayes     
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  empirical bayes
     Convergent Rates of Empirical Bayes Estimation of the Parameter of Garmma Distribution Families Γ{θ,1/2}
     伽玛分布族Γ{θ,1/2}参数的经验Bayes估计的收敛速度
短句来源
     In this paper, the simultaneous empirical Bayes (EB) estimator for regression cofficient β= (β1,β2,···,βp)' and error variance σ2 is considered in linear models.
     本文考虑了线性模型中回归系数β=(β_1,…,β_p)和误差方差σ~2的联立经验Bayes(EB)估计.
短句来源
     Empirical Bayes Estimation
     经验Bayes估计
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     In the paper the family of normal distribution{N(μ,σ~2)| -∞<μ<+∞,σ~2>0} is considered. The linear empirical Bayes estimators of μ,σ~2 and θ=(μ,σ~2)′ are constructed by the method of Robbins and Tao Bo.
     对于正态分布族{N(μ,σ~2)|-∞<μ<+∞,σ~2>0},本文利用Robbins,Tao Bo 的思想,分别构造了μ,σ~2,θ=(μ,σ~2)′的线性经验 Bayes估计,我们不但在一定条件下讨论了这些估计的 a.
短句来源
     Empirical Bayes Test for the Uniform Families U (θ, cθ)
     均匀分布族U(θ,cθ)中的经验Bayes检验(英文)
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  empirical bayesian
     Location Data Fusion Based on Linear Empirical Bayesian Method
     基于线性经验Bayes估计的位置数据融合方法
短句来源
     EMPIRICAL BAYESIAN METHOD IN RELIABILITY ENGINEERING(Ⅱ)
     可靠性工程中的经验Bayes方法(Ⅱ)
短句来源
     Secondly, in case of NA samples, using density function kernel estimation approach, the asymptotic optimal empirical Bayesian estimator for one-side truncation parameter-functions is put forward.
     其次,在NA(负相关)样本下,用密度函数核估计的方法,构造了单边截断型分布族参数函数Q(θ)的经验Bayes估计,在讨论的条件下证明了它是渐近最优的EB估计,并证明它具有收敛速度q=(λα(δ-2)/δ(2α+4)),其中0<λ<2,α>0,δ>2。
短句来源
     In this paper, Bayesian and empirical Bayesian theory are used to study the statistical analysis for Γ distribution, normal distribution, scale parameter family and the failure function in reliability tests.
     本文将Bayes、经验Bayes理论应用于Γ分布、正态分布、尺度参数族以及可靠性试验中失效率函数的统计分析研究。
短句来源
     Bayesian and empirical Bayesian theory is applied to investigate the statistical inference problems of the parameters for scale-exponential、 continuous one-parameter exponential and one-side truncated families under the identically distributed and positively associated (PA) samples in this dissertation.
     本文主要将Bayes理论与经验Bayes理论应用于刻度指数族、连续型单参指数族及一类单边截断型分布族参数的统计推断问题中,在同分布PA样本情形下,对参数的检验和估计问题进行分析研究。
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  “经验bayes”译为未确定词的双语例句
     ,∞)(x), where c>1, c(θ)=((c-1)θ)~(-1),θ∈(?)
     H_1:θ>θ_0的经验Bayes检验。
短句来源
     Application of experience Bayes estimation in ranging
     经验Bayes估计在距离测量中的应用研究
短句来源
     In this paper a family of discrete distributions (defined by P_θ(X=x)=p(x_1~1θ)= h(x)β(θ)θ~x, x∈(?) ={0,1,2,…}) is considered.
     本文考虑如(1)定义的一类离散指数族分布,得到参数多项式Q_k(θ)=sum from i=0 to k(α_iθ~i)的一串经验Bayes估计的收敛速度。
短句来源
     Is constructed the EB estimation for the parameter of the Pareto distribution families under linex loss.
     在 L inex损失函数下 ,讨论 Pareto分布族参数的经验 Bayes(EB)估计问题 ,文中构造了参数的 EB估计 ,在适当的条件下给出了该估计的收敛速度 .
短句来源
     Linear Empirical Estimation of Multidimensional Parametric Vectors
     多维参数向量的线性经验Bayes估计
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  empirical bayes
The asymptotically optimal empirical bayes estimation in multiple linear regression model
      
Empirical Bayes estimation of the parameter vector θ=(β',σ2)' in a multiple linear regression modelY=Xβ+ε is considered, where β is the vector of regression coefficient, ε∽N(0,σI with σ2 unknown.
      
In this paper, we consider the empirical Bayes (EB) test problem for the scale parameters in the scale exponential family with a weighted linear loss function.
      
The convergent rate of empirical bayes estimators for parameters of normal distribution family
      
In [1] the empirical Bayes estimator of the parameter vector of normal distribution family was introduced, and for the loss function (1) its asymptotically optimal property was proved with respect to the prior distribution family (2).
      
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  empirical bayesian
We present a variance component approach nested in an empirical Bayesian method, which simultancously takes into account additive, dominance and epistatic effects due to multiple interacting QTL.
      
Most models are parametric, but experience rating is also considered in the case of vague prior information and an empirical Bayesian model of experience reserving is studied as well.
      
Relative estimation errors of the obtained empirical Bayesian estimator are very small - they do not exceed 2.5%.
      
A prediction of individual growth of height according to an empirical Bayesian approach
      
An empirical Bayesian approach is applied to a prediction of an individual growth in height at an early stage of life.
      
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  empirical bayes (eb
In this paper, we consider the empirical Bayes (EB) test problem for the scale parameters in the scale exponential family with a weighted linear loss function.
      
Singh has studied the empirical Bayes (EB) estimation in a multiple linear regression model.
      
This paper considers the empirical Bayes (EB) estimation problem for the parameter β of the linear regression model y = Xβ + ε with ε ~ N(0, σ2I) given β.
      
Here we propose certain empirical Bayes (EB) estimators that adaptively combine the best features of the restricted and unrestricted MLEs.
      
We have simulated the application of such an estimator, namely an empirical Bayes (EB) estimator of random effects in a hierarchical linear model (normal-normal).
      
更多          
  empirical bayes (eb)
In this paper, we consider the empirical Bayes (EB) test problem for the scale parameters in the scale exponential family with a weighted linear loss function.
      
Singh has studied the empirical Bayes (EB) estimation in a multiple linear regression model.
      
This paper considers the empirical Bayes (EB) estimation problem for the parameter β of the linear regression model y = Xβ + ε with ε ~ N(0, σ2I) given β.
      
Here we propose certain empirical Bayes (EB) estimators that adaptively combine the best features of the restricted and unrestricted MLEs.
      
We have simulated the application of such an estimator, namely an empirical Bayes (EB) estimator of random effects in a hierarchical linear model (normal-normal).
      
更多          


In this paper we consider the squared error loss empirical Bayes cstimationof ψ(θ)based on past experience and a present observation X whosc conditional(onθ)pdf is of the form P_θ(X=x)=p(x\θ)=h(x)β(x)θ~(?)x=0,1,2,……h(x)>0,θ∈Ω={θ:θ>0 sum form ∞ to x=0 θ~<∞}.It is proved that the“natural”empirical Bayes(EB)cstimator of polynomialQ_k(θ)=sum from i=0 to k ai θ~i is asymptotically optimal(a,o)when the following two conditionsare satisfied:(1)θ is distributed according to an unknown priorG(θ)∈(?)={G:integral form...

In this paper we consider the squared error loss empirical Bayes cstimationof ψ(θ)based on past experience and a present observation X whosc conditional(onθ)pdf is of the form P_θ(X=x)=p(x\θ)=h(x)β(x)θ~(?)x=0,1,2,……h(x)>0,θ∈Ω={θ:θ>0 sum form ∞ to x=0 θ~<∞}.It is proved that the“natural”empirical Bayes(EB)cstimator of polynomialQ_k(θ)=sum from i=0 to k ai θ~i is asymptotically optimal(a,o)when the following two conditionsare satisfied:(1)θ is distributed according to an unknown priorG(θ)∈(?)={G:integral form to Ω θ~(2k)dG(θ)<∞}and (2) there is a finite constant A sach thath~2(x)≤Ah(x-1)h(x+1).x=1,2,……

本文考虑一类离散指数分布族参数的多项式在平方损失下的经验Bayes(EB)估计.给定θ当前样本X的条件分布有P_θ(X=x)=p(x|θ)=h(x)β(θ)θ~x,x=0,1……的形状,此处h(x)>0,θ∈Ω={θ:θ>0,h(x)θ~x<∞}假定i)θ的先验分布族G∈,={G:dG<∞}.ii)存在有限常数A 使h~2(x)≤Ah(x-1)h(x+1),对x=1,2,……成立.则θ的k 阶多项式Q_h(θ)=(?)的“自然”BE 估计(定义见(8)式)是渐近最优(a,0)的.

In this paper a family of discrete distributions (defined by P_θ(X=x)=p(x_1~1θ)= h(x)β(θ)θ~x, x∈(?)={0,1,2,…}) is considered. The convergence rate of a sequence of EB estimates about the polynomial Q_k(θ)=sum from i=0 to k(α_iθ~i) is obtained and under suitable conditions this convergence can be arbitrarily close to 1.

本文考虑如(1)定义的一类离散指数族分布,得到参数多项式Q_k(θ)=sum from i=0 to k(α_iθ~i)的一串经验Bayes估计的收敛速度。证明了在一定条件下此收敛速度可任意接近1。

This paper discusses linear regression Y=βθ+ε with normally distri-buted error variables. With general quadric loss function, Bayes estima-tors of the parameter θ of multi-parameter exponential families are firstconstructed. Using multiple kernel function, we construct the estimatorsof non-density function as well as its partial derivatives and obtain theirrates of convergence. Then EB estimators of θ are made and their rates ofconvergence with 2(rδ-1)/(2r+p) which are close to 1 are obtained.

本文首先在一般二次损失下作出多参数指数族参数θ的Baycs估计d_G(x)=A~(-1)(?)g(x)/(?)x/g(x),然后构造多元非密度式g(X)的混合偏导数的核估计,求出其收敛速度。进而求出多元向量函数(?)g(x)/(?)x的核估计的收敛速度。接着构造θ的经验Bayes估计,得到O(n~(-2)(rδ-1)/(2r+p))的收敛速度。最后把误差正态这样一类最常见的线性模型的回归系数EB估计归结为多参数指数族参数估计,它的收敛速度可以任意接近于1。

 
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