统一方差分量估计公式     

李广云 《测绘学院学报》1993,(3)

本文提出了一种适用于协方差阵奇异或非奇异、设计阵列满秩或降秩时的方差分量估计方法;其公式推导简单,形式统一,不需解线性方程组,同时可保证迭代计算方差分量的非负要求。作为特例还和Helmert法及MINQUE法作了比较。最后讨论了用真误差进行方差分量估计的计算公式,并给出了一个测距误差分析的实例。  相似文献   

测量平差抗差化和效率分析     

黄幼才 《武汉大学学报(信息科学版)》1993,(1)

本文从充分利用可能得到的信息的观点出发,讨论了测量平差的抗差性和优效性及其他们之间的关系。阐述了抗差估计理论和经典估计理论的本质区别。提出了测量平差抗差化的基本原则,并对几种估计的抗差能力和效率作了比较。  相似文献   

精密重力网的定权及系统效应     

杨重谊 《武汉大学学报(信息科学版)》1990,(4)

对于精密重力网,如何确定各类观测值的权,如何剔除相对重力仪过多的参数,是目前尚未解决好的两个问题。本文讨论了利用方差分量估计确定各类观测值的权,利用几种假设检验选择附加参数的方法以及相关的几个问题。经过计算和比较分析,得到了较好的结果。  相似文献   

Effects of search parameters on kriged reserve estimates     

Abdullah Arik 《Geotechnical and Geological Engineering》1990,8(4):305-318

Summary Reliable ore reserve estimates for deposits with highly skewed grade distributions are difficult tasks to perform. Although some recent geostatistical techniques are available to handle problems with these estimations, ordinary kriging or conventional interpolation methods are still widely used to estimate the ore reserves for such deposits. The estimation results can be very sensitive to the search parameters used during the interpolation of grades with these methods.This paper compares the ore reserve estimates from ordinary kriging using several cases in which certain search parameters are varied. The comparisons are extended to different mineralizations to show the changing effects of these parameters.  相似文献   

Kalman滤波在黄河上游融雪期径流预报中的应用初探   总被引：1，自引：1，他引：1  

宋强 《冰川冻土》1991,13(1):27-34

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Rainfall estimation using raingages and radar — A Bayesian approach: 1. Derivation of estimators     

D. -J. Seo  J. A. Smith 《Stochastic Environmental Research and Risk Assessment (SERRA)》1991,5(1):17-29

Procedures for estimating rainfall from radar and raingage observations are constructed in a Bayesian framework. Given that the number of raingage measurements is typically very small, mean and variance of gage rainfall are treated as uncertain parameters. Under the assumption that log gage rainfall and log radar rainfall are jointly multivariate normal, the estimation problem is equivalent to lognormal co-kriging with uncertain mean and variance of the gage rainfall field.The posterior distribution is obtained under the assumption that the prior for the mean and inverse of the variance of log gage rainfall is normal-gamma 2. Estimate and estimation variance do not have closed-form expressions, but can be easily evaluated by numerically integrating two single integrals. To reduce computational burden associated with evaluating sufficient statistics for the likelihood function, an approximate form of parameter updating is given. Also, as a further approximation, the parameters are updated using raingage measurements only, yielding closed-form expressions for estimate and estimation variance in the Gaussian domain.With a reduction in the number of radar rainfall data in constructing covariance matrices, computational requirements for the estimation procedures are not significantly greater than those for simple co-kriging. Given their generality, the estimation procedures constructed in this work are considered to be applicable in various estimation problems involving an undersampled main variable and a densely sampled auxiliary variable.  相似文献   

Entropy estimation of hydrological extremes     

N. C. Lind  H. P. Hong 《Stochastic Environmental Research and Risk Assessment (SERRA)》1991,5(1):77-87

The method of Relative Entropy with Fractile constraints (REF method) is explained and applied to model extreme compound hydrological phenomena, such as extreme sea levels under storm conditions. Also presented is a simple method of Tail Entropy Approximation (TEA), which amounts to a correction of traditional statistical estimates for extreme observations.Distribution assumptions are necessary but downplayed in the REF method, relegating the prior distribution to the role of an extrapolation function. The estimates are objective in an information-theoretical sense. They also satisfy a strict requirement of self-consistency that is generally not satisfied by standard statistical methods: invariance under monotonic transformations of the random variable.Historical records of storm surge levels in the Netherlands and annual maximum tidal heights for Sheerness, UK, are used as examples. Comparison is made with distributions obtained using other methods.It is concluded that the tail entropy approximation provides simple, objective estimates of extremes in the tail beyond the range of observations.  相似文献   

空间测边交会的解法、精度估算和最佳图形探讨   总被引：2，自引：0，他引：2  

李全信 《测绘学院学报》1991,(4)

本文介绍空间测边交会的三种解法。利用矩阵迹的性质,巧妙推出了实用的精度估算式,并由此得出空间测边交会的最佳图形为交会角皆是90°的四面体的结论。  相似文献   

方差—协方差分量极大似然估计的通用公式   总被引：6，自引：1，他引：6  

於宗俦 《测绘学报》1994,23(1):6-13

本文由概括平差函数模型出发，按极大似然做估计原则导出了适用于所有平差函数模型的方差分量估计的通用公式，由Ｋ．Ｋｕｂｉｋ和Ｃ．Ｒ．Ｋｏｃｈ所导出的两个公式都是它的特例。  相似文献   

测量平差模型的抗差最小二乘解及影响函数   总被引：1，自引：0，他引：1  

杨元喜 《测绘学院学报》1994,(2)

抗差Ｍ估计是使用最广泛、计算较简明的抗差估计法。基于多维Ｍ估计原理，本文建立了经典测量平差函数模型的抗差解，并推导出相应的误差影响函数；为了使抗差估计适于不同类型以及不同先验精度的各类观测值的混合平差，将使用等价权原理构造抗差最小二乘解式。  相似文献