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1)  entropy loss
熵损失
1.
The present paper discussed the function of entropy loss,the Bayes Estimation of two Ordered Geometrics under any prior distribution,and estimated the loss of function in different priori distribution of two ordered geometric overall Bayes.
在平方损失函数和熵损失函数下,分别讨论了序约束下对任何先验分布的两个几何总体参数的Bayes估计,给出了序约束下不同先验分布的两个几何总体的Bayes估计。
2.
In this paper it is shown for the entropy loss L(sum from to ^,∑ ) = tr(∑~-1 sum from to^) - log|Σ~-1 sum from to ^|-p the best affine equivariant estimator of the covariance matrix ∑ is inadmissible and an improved estimator is explicitly constructed.
本文在熵损失 L(sum from to ~,∑)=tr(∑~-1,sum from to ~)-log|∑~-1sum from to~|-p下证明了协方差矩阵∑的最佳仿射同变估计是不容许的,且给出了其改进估计。
3.
Under the conditions of entropy loss and symmetric entropy loss,Bayes estimation is discussed of any two general parameters with prior Burr distribution under order constraint.
分别在熵损失和对称熵损失函数下,讨论了序约束下对任何先验分布的两个Burr分布总体参数的Bayes估计。
2)  entropy loss function
熵损失
1.
In this paper,we discussed the case that the parameter has different prior information of the Burr distribution under entropy loss function,the Bayesian estimations,mltilayer Baysian estimations and the general form of the admissible estimator are given.
讨论了在熵损失函数下Burr分布的参数在不同先验分布下的Bayes估计,并且讨论了其多层Bayes估计,给出了容许性估计的一般形式。
2.
This paper started with the general form of one-parameter exponential family function, and considered the Bayesian Estimation under the entropy loss function by mathematical calculations.
Bayes解在不同的损失函数下一般有不同的表现形式,本文根据平方损失下Bayes估计的计算思想方法,探讨了单参数指数族一般形式下,采用熵损失得到Bayes估计一般形式的过程,给出了有用的推论,并对正态分布、二项分布、泊松分布、瑞利分布、指数分布、伽玛分布、几何分布的参数进行说明验证。
3)  entropy loss function
熵损失函数
1.
Bayesian estimation of geometric distribution parameterunder entropy loss function;
熵损失函数下几何分布参数的Bayes估计
2.
In this paper,the formula of Expect Bayes estimation of the reliability under entropy loss function for geometric distribution have been given,when the prior distribution of the reliability is power distribution and βdistribution.
研究几何分布可靠度的先验分布分别为β分布和幂分布时,在熵损失函数下给出了可靠度的EB估计,并结合实际数据比较了两种先验分布下估计值的精度。
3.
This paper considers comparison of MINQUE and simple estimator of Σ in the mult-ivariate normal linear model Y-N(XB, Σ V) under the risk of entropy loss function and symmetry loss function criterion, where the design matrix X need not have full rank and the dispersion matrix V can be singular.
并证明了,在熵损失函数下,MINQUE估计总是优于简单估计。
4)  symmetric entropy loss
对称熵损失
1.
The present paper consider risk of the restricted maximum likelihood estimators(RMLE) of order means of two sample distribution exponential,λ1≤λ2,with the same sample size,under symmetric entropy loss.
在对称熵损失下,讨论了样本容量相等时,两个指数总体均值iλ(i=1,2)的约束极大似然估计^iλ的风险,其中约束为λ1≤λ2。
2.
Under the conditions of entropy loss and symmetric entropy loss,Bayes estimation is discussed of any two general parameters with prior Burr distribution under order constraint.
分别在熵损失和对称熵损失函数下,讨论了序约束下对任何先验分布的两个Burr分布总体参数的Bayes估计。
5)  entropy loss
熵损失函数
1.
On the basis of the estimation of the reciproeal of Poisson mean under entropy loss function, the admissbility and the inadmissibility of the estimators [cT(X)+d] -1 are obtained.
研究在熵损失函数下 ,Poisson分布参数倒数的估计 ,得出在熵损失下 ,[c T( X ) +d] -1 形式的一类估计的可容许性和不可容许性 ,并给出可容许估计的充要条
2.
In this paper, Bayes estimation under entropy loss function under type one censoring data from exponential distribution was considered.
给出了在熵损失函数下,指数分布参数的Bayes估计。
6)  Square loss and entropy loss function
平方损失和熵损失
补充资料:标准熵
分子式:
CAS号:

性质:根据热力学第三定律的普朗克表述(即0K时,纯物质的完整晶体的熵等于零)规定的物质的熵的绝对值,有时也称为规定熵(conventional entropy)。物理化学手册中给出的是纯物质在标准状态和298.15K的摩尔规定熵,也称为标准熵,符号Sm,298.15,单位J/(K·mol)。在确定熵值时需要用量热方法测量热容Cp与温度的关系以及各种相变热,因此规定熵也称量热熵(calorimetric entropy)。

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