误差方差二次型估计模型的转化

研究一般的回归模型中误差方差的二次型估计的容许性，研究方法是模型的整体转化和局部转化，结果有：（１）二次约束下的线性模型等价于相应的无约束的线性模型。（２）线性（齐次或非齐次）等式约束下的线性模型等价于某个无约束的线性模型。（３）单个非齐次不等式约束下的线性模型等价于某个无约束的线性模型。（４）通过例子证明了多个线性不等式约束的线性模型不能等价于某个无约束的线性模型。（５）某类非齐次二次型估计的容许性等价于相应的齐次二次型估计的容许性     

GIS Investigation of the relationship of sex and season on the population distribution of common bottlenose dolphins (Tursiops truncatus) in Charleston,South Carolina

ABSTRACT

The Charleston Estuarine System Stock (CESS) of common bottlenose dolphins (Tursiops truncatus) has been the focus of population monitoring for the past 20 years. Photo-id studies have determined abundance and survival estimates for this population, which exhibits high site fidelity in this area. However, fine-scale distribution, utilization patterns, and the driving forces behind these patterns are lacking. Using historical photo-id data and a novel application of geographic information system (GIS) analysis, the present study identified core use areas within Charleston Harbor, as well as patterns specific to sexes and seasons. Photo-id data of 319 dolphins sighted 11 times or more during 2004–2009 were analyzed. Heat maps were developed to examine spatial distributions using kernel density estimates (KDE) and were compared between sexes and seasons. Multiple high-density core use areas were identified for this population, with the most noteworthy near the mouth of the harbor toward the Atlantic Ocean. Fine-scale distribution varied across sexes, as well as seasons. Some areas were identified as more specifically inhabited by one sex, while other areas overlapped between sexes. Females were more tightly concentrated within their distribution while males were more dispersed. Although population distribution varied across seasons, sex distributions remained.     

Meissel-Stokes核函数应用于区域大地水准面分析

为提高区域大地水准面计算精度,基于EGM2008地球重力场位系数模型分析Meissel-Stokes核函数、截断误差系数以及截断误差。选取实验区,采用移去-恢复法评价Meissel-Stokes核函数计算大地水准面的精度。结果表明:Meissel-Stokes核函数及其截断误差系数收敛速度快;截断误差小且稳定。在积分半径不易扩展的情况下,应用Meissel-Stokes核函数计算区域大地水准面,比标准Stokes计算大地水准面精度略高。     

基于马尔科夫随机场与模糊C均值的遥感影像分类

模糊C均值聚类是一种经典的非监督聚类模型,成功地应用于遥感影像分类。但是该方法对初始值敏感,容易陷入局部最优解;同时聚类时仅考虑光谱信息,忽略了空间信息。本文提出了一种新的基于马尔科夫随机场的模糊C均值聚类方法,该方法把马尔科夫随机场和模糊C均值结合在一起。初始值依据第一主成分的密度函数确定,这样克服了对初始值的依赖性,又在聚类的时候考虑了空间信息。通过实例数据验证,所提出的方法分类精度优于传统的模糊C均值模型。     

多面函数法在丘陵区GPS水准拟合中的应用研究

为提高丘陵地区GPS水准拟合精度,建立适合当地测区的拟合模型,采用多面函数法对高程异常进行拟合。通过实例对模型关键问题和拟合精度进行了分析,重点研究光滑因子的选取对核函数的影响,并与二次曲面拟合法相对比,进行了精度分析。     

The ellipsoidal correction to the Stokes kernel for precise geoid determination

Solving the geodetic boundary-value problem (GBVP) for the precise determination of the geoid requires proper use of the fundamental equation of physical geodesy as the boundary condition given on the geoid. The Stokes formula and kernel are the result of spherical approximation of this fundamental equation, which is a violation of the proper relation between the observed quantity (gravity anomaly) and the sought function (geoid). The violation is interpreted here as the improper formulation of the boundary condition, which implies the spherical Stokes kernel to be in error compared with the proper kernel of integral transformation. To remedy this error, two correction kernels to the Stokes kernel were derived: the first in both closed and spectral forms and the second only in spectral form. Contributions from the first correction kernel to the geoid across the globe were [−0.867 m, +1.002 m] in the low-frequency domain implied by the GRIM4-S4 purely satellite-derived geopotential model. It is a few centimeters, on average, in the high-frequency domain with some exceptions of a few meters in places of high topographical relief and sizable geological features in accordance with the EGM96 combined geopotential model. The contributions from the second correction kernel to the geoid are [−0.259 m, +0.217 m] and [−0.024 m, +0.023 m] in the low- and high-frequency domains, respectively.     

抗差泛岭估计

本文应用现代估差估计理论,提出了一个抗差有偏估计类（抗差泛岭估计类）并且建立了抗差泛岭估计的计算方法。理论分析和模拟计算表明,抗差泛岭估计具有既可克服法矩阵病态性影响又可抵抗粗差干扰的良好性质。     

Spectral Estimation in Space and Time Domain by Nonstationary Minimum Variance Spectral Estimator

A multidimensional version of the nonstationary minimum variance spectral estimator has been developed. The numerical results have shown that this method has more resolution power than the conventional nonstationary spectral estimation methods based on periodograms. The application of the spectral estimation method to an irregularly sampled multidimensional nonstationary rainfall mode is also investigated. The other advantage of this spectral estimation method is that it does not require window selection.     

复测水准网拟稳抗差解算模型

变形监测网平差的主要方法是秩亏平差法或拟稳平差法。本文基于抗差估计原理，首先推导了秩亏平差模型的抗差解式和拟稳抗差解，并推导了普通秩亏抗差解与拟稳抗差解之间的转换关系。使得拟稳抗差估计的解算简便直观。