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.
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.
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.
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.
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.
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