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A TEsT FOR sPHERICITY OF ERRORs IN LINEAR MODELs

systems science and Mathematical sciences 1997年第3期10卷 202-207页

作者： WANG songgui(Institute of statistics, Beijing Polytechnic University, Beijing 100022, China)(Institute of Applied of Mathematics, Academia sinica, Beijing 100080, China)YANG Zhenhai(Institute of statistics, Beijing Polytechnic University, Beijing 100022,

For a general linear model, spherical distributions are often considered whenerrors do not have normal distribution. several authors[1-3] studied the least squaresand James-stein estimations for a linear model whose errors follow multivariate t or moregeneral spherical distributions. In this paper the test problem for sphericity of errors isconsidered. We propose an exact test for the sphericity by using the conditional probabilityintegral transformation and another transformation. As an important special case, thecorresponding test statistics for multivariate t distribution are obtained.

关键词： spherical distribution multivariate t-distribution conditional probability integral transformation pearson’s product test multivariate Cauchy distribution.

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Geostatistical Correlation of Aquifer Potentials in Abia state, south-Eastern Nigeria

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International Journal of Geosciences 2011年第4期2卷 541-548页

作者： Magnus Uzoma Igboekwe Cyril Ngozi Nwankwo 不详

In this paper, a collection of statistical correlation methods is used in the study of aquifer potentials in Abia state of south-eastern Nigeria. The Physiology, geomorphology and hydrogeology of the area are first presented. sixty-six Vertical Electrical sounding (VEs) data sets are used to determine the aquifer. Demographic studies are then carried out in 220 communities in order to determine the relationship between population size on one hand and a unit draw-down of wells due to groundwater abstraction on the other. The relationship between geological Formation, aquifer potentials and depth of boreholes are then calculated using pearson’s correlation matrix. Results show that the mean population of persons appears to be higher in Bende-Ameki Formation (of Eocene-Oligocene age) and the late Tetiary-Early Quaternary Coastal Plain sands, than in the Cretaceous shale Formation of Asata Nkporo. The mean population of persons sitting on these Formations is 31,200, 18,370 and 5400 respectively. Furthermore, it is observed that a population increase of about 50 persons in a community in Abia state is accompanied by a unit volume (1 m3) draw-down of wells due to groundwater abstraction. It is therefore concluded that population size is positively correlated with groundwater abstraction, aquifer potentials and geological Formation favouring aquifer in Abia state.

关键词： Geostatistics pearson’s Correlation Groundwater Krigging Aquifer Bende-Ameki Formation Coastal Plain sands.

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