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首页> 外文期刊>South African Journal of Geology: Being the Transaction of the Geological Society of South African: Syndie die Verhandelinge van die Geologiese Vereniging van Suid-Afrika >INFERENCES OF a-STABLE DISTRIBUTION OF THE UNDERLYING NOISE COMPONENTS IN GEODETIC DATA
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INFERENCES OF a-STABLE DISTRIBUTION OF THE UNDERLYING NOISE COMPONENTS IN GEODETIC DATA

机译：大地测量数据中基本噪声成分的不稳定分布的推论

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摘要

We investigate the use of distribution functions to characterise the geophysical signals and noise components embedded in the geodetic Very Long Baseline Interferometry (VLBI) data sets across some of the International VLBI Service (IVS) stations. The rationale of using a-stable distributions as a tool to model the noise components in geodetic observables is due to the existence of impulsive signalsoise bursts (which often take the form of excursions with intermittent occurrences) in the data sets suggesting deviations from Gaussian distribution. A deviation from Gaussian distribution type would therefore suggest that statistical techniques such as least squares analysis, often used for analyzing the geodetic data (which are often based on Gaussian assumptions) could not be robust. In this paper, the properties of a long-range α-stable distribution with long tails and infinite moments in geodetic data are investigated by way of statistically testing their distribution using a family of stable distributions. The choice of stable distributions is based on the ease with which the statistical properties of the non-Gaussian processes are defined. Results indicate that the independent geophysical noise components reconstructed from geodetic VLBI baseline data exhibit distributions that have asymptotic power-law decay (albeit variable power indices) whose underlying process can be modelled as a long-range dependent process with an a-stable distribution (i.e., the stable varieties have small characteristic exponents).
机译：我们调查使用分布函数来表征一些国际VLBI服务（IVS）站中的大地测量甚长基线干涉测量（VLBI）数据集中嵌入的地球物理信号和噪声分量。使用a稳定分布作为工具对大地观测观测数据中的噪声成分进行建模的基本原理是由于数据集中存在脉冲信号/噪声爆发（通常采用间歇性出现的偏移形式），这表明与高斯存在偏差分配。因此，偏离高斯分布类型将表明，通常用于分析大地测量数据（通常基于高斯假设）的统计技术（例如最小二乘分析）可能并不稳健。本文通过使用一系列稳定分布对分布进行统计检验，研究了大地数据中具有长尾和无限矩的长距离α稳定分布的性质。稳定分布的选择基于定义非高斯过程的统计特性的难易程度。结果表明，从大地测量VLBI基线数据重建的独立地球物理噪声分量显示具有渐近幂律衰减（尽管功率指数可变）的分布，其潜在过程可以建模为具有a稳定分布的长期依赖过程（即，稳定的品种具有较小的特征指数）。

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