参数估计

Main points of this paper are as follows:(1) to explain emphatically and to prove the Jukes-Cantor Model, Kimura Model and the relationships of them;(2) to construct and to prove, using EM algorithm, the theorems of estimating best branches of DNA sequences having censored data for Jukes-Cantor Model under the conditions of rooted tree and unrooted tree respectively;(3) to construct and to prove, using EM algorithm, another three theorems of estimating best parameters of DNA sequences having censored data for Kimura Model under the conditions of rooted tree and unrooted tree.

本论文的重点在于解释和证明Jukes-Cantor模型、Kimura模型及两模型之间的关系；运用EM算法构造并证明Jukes-Cantor模型下含缺损数据的DNA序列构建有根树的最佳分枝长度估计定理；运用EM算法构造并证明Kimura模型下含缺损数据的DNA序列构建有根树的最佳参数估计定理。

The upper bound of its parame ter estimation error is analyzed, and the way to choose

投影辨识方法的参数估计误差上界，并给出了使估计误差上界最小的最佳数据窗

Inspired by the idea of Zeller's balanced loss function, a new standard is presented for estimating the regression coefficient of linear model and the estimation named Balanced LS Estimation is gained under the new standard.

本文在Zeller平衡损失思想的启发下，对线性回归模型提出了一种新的参数估计标准，得到了回归系数的平衡LS估计。

Under certain condition, we demonstrate that all these estimators have some good large-sample property, mainly the asymptotical normality.

在一定的条件下，说明了参数估计的大样本性质，主要是估计的渐近正态。

Under the assumption of orthographic projection, the method can obtain exact solution of motion parameters.

扩大了二帧线对应运动估计的应用场合及参数估计动态范围。

In consideration of the in-pulse phase modulation and Doppler frequency rate-of-change's subtleness, a fast and accurate algorithm is proposed. The influence to parameter estimation with phase modulation is dismissed by time domain correlation between neighboring pulses. Signal noise ratio is increased by frequency domain accumulation.

该文针对信号脉内相位调制和多普勒频率变化率信息非常微弱的特点，提出了一种快速高精度估计算法，通过相邻脉冲间的时域相关消除了相位调制对参数估计的影响，频域积累增强了信噪比，利用脉冲间的相参特性进行频谱相关消除了相位模糊，并放大了多普勒频率变化率信息。

Linear model ; coefficient estimation ; unbias estimation ; GLSE

线性模型；参数估计；无偏估计； GLSE

To reduce the errors caused by using FFT for an unsynchronized sample sequence analysis and to improve the measuring precision of interharmonics in electric power system, an interharmonics estimation based on interpolation FFT algorithm is proposed.

为了减小非同步采样的影响，提高间谐波分析精度，提出了基于加窗插值FFr算法的间谐波参数估计，分析和推导了基于Rife-Vincent窗的间谐波频率、幅值和相位的估计公式。

By the idea of non-parametric estimate and the wide understanding of weight function, we obtain a method of randomizing the restrictive conditions of nonlinear regression model.

对带约束条件的非线性模型问题进行了探讨，利用非参数估计的思想，广义地理解权函数估计中的权，给出了一种方法－&约束条件的随机化方法&。

By continuous working for 60 years, the Chinese geodesists have developed the quasi-stable adjustment principle, robust estimation based on equivalent weight principle, robust estimation for correlated observations, adaptively robust filters etc.

中国学者经过60年不懈努力，在自由网平差、拟稳平差、半参数估计、不适定问题解算方法、抗差估计、自适应滤波等领域做出了重要贡献，建立了许多新的理论、模型和方法，推进了大地测量数据处理理论的进展。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。