研究量子统计中曲指数族子流形的不同度量的对偶结构。
Quantum version of the curved exponential family is studied where its dual structure with different metrics.
在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。
In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.
特别对应用广泛的曲指数族，本文在较易实际验证的条件下给出了相应的EM算法的收敛结果。
Especially, we give some results of the convergence of the EM algorithm for the curved exponential family under the conditions checked easily.
对指数族非线性随机效应模型，本文首次利用Q函数进行统计诊断。主要创新性研究成果如下。
Q function have been used to study the statistical diagnostics for the exponential family nonlinear models with random effects.
本文获得了刻度指数族变量带误差情形下的贝叶斯决策，且利用解卷积的核方法构造出了经验贝叶斯决策。
In this paper, a Bayes decision rule is derived for the scale-exponential family with error in variables, and an empirical Bayes (EB) decision rule is constructed by a deconvolution kernel method.
我们同样检测来源于骨髓的循环祖细胞的CD 34 +CD 133 +丛族数量，作为血管再生和内皮活动能力指数。
We also quantified the CD34 + CD133 + population of circulating progenitor cells (CPCs) that originate from bone marrow, as an index of hematopoietic and endothelial mobilization capacity.
首先利用非对称的LINEX损失函数对双指数分布族刻度参数进行了经验贝叶斯估计，并讨论了该估计的性质，给出了收敛速度。
First, we obtain the empirical Bayesian estimator of the scale parameter for the double exponential distribution based on LINEX loss function and the convergence rate of the estimate.
借助区间值模糊集中元素的区间指数，引入点算子，该算子将一区间值模糊集与一模糊集族联系起来。
A point operator by means of interval index of an element in the interval valued fuzzy set is introduced.
讨论了加速失效模型族中最简单而又十分重要的指数回归模型，利用贝叶斯方法提高了该模型的有效性。
This paper discusses the exponential regression model, which is the simplest but very important in the family of Bayesian accelerated failure-time model.
首先，我们确证了全同感测器系统在指数分布族的参数辨识问题上的最佳性。
Firstly, the optimality of identical sensor system for the exponential distribution family has been verified.
方法在因子分解定理的基础上提出了一个判别指数型分布族的简单方法。
Methods A simple method for distinguishing of exponential distribution family is obtained based on factorization theorem.
目的：对云南省双江县邦丙乡布朗族头面部器官41个测量项目和17个头面部指数进行全面系统的测量。
OBJECTIVE: To completely and systematically measure the 41 items and 17 indexes of the craniofacial organs of Bulang minority in Bangbing countryside of Shuangjiang county in Lincang area.
结果提出了指数型分布族的因子分解判别法，并给出了指数型分布族的一个良好性质。
Results a factorization discriminance of exponential distribution family was obtained, moreover good properties of exponential distribution family were established.
本文选取了九类行业指数的日收益率作为主要研究对象，运用GARCH族模型来对我国股票市场行业指数波动特性进行研究。
This article has been selected nine categories of the industry stock index's return rate as the main subjects, using GARCH models to analysis the index's volatilITy of characteristics.
本文选取了九类行业指数的日收益率作为主要研究对象，运用GARCH族模型来对我国股票市场行业指数波动特性进行研究。
This article has been selected nine categories of the industry stock index's return rate as the main subjects, using GARCH models to analysis the index's volatilITy of characteristics.
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