In this paper the authors study empirically the power of the test based on the index of dissimilarity to compare two samples drawn from two populations differing only in the location parameter. We call such a test as ...In this paper the authors study empirically the power of the test based on the index of dissimilarity to compare two samples drawn from two populations differing only in the location parameter. We call such a test as test of homogeneity. In practice the power of such a bidirectional test will be studied referring to the absolute value of the shiftδand to the same probability models considered by Fried and Dehling.展开更多
The depth from extreme points(DEXP)method can be used for estimating source depths and providing a rough image as a starting model for inversion.However,the application of the DEXP method is limited by the lack of pri...The depth from extreme points(DEXP)method can be used for estimating source depths and providing a rough image as a starting model for inversion.However,the application of the DEXP method is limited by the lack of prior information regarding the structural index.Herein,we describe an automatic DEXP method derived from Euler’s Homogeneity equation,and we call it the Euler–DEXP method.We prove that its scaling field is independent of structural indices,and the scaling exponent is a constant for any potential field or its derivative.Therefore,we can simultaneously estimate source depths with diff erent geometries in one DEXP image.The implementation of the Euler–DEXP method is fully automatic.The structural index can be subsequently determined by utilizing the estimated depth.This method has been tested using synthetic cases with single and multiple sources.All estimated solutions are in accordance with theoretical source parameters.We demonstrate the practicability of the Euler–DEXP method with the gravity field data of the Hastings Salt Dome.The results ultimately represent a better understanding of the geometry and depth of the salt dome.展开更多
文摘In this paper the authors study empirically the power of the test based on the index of dissimilarity to compare two samples drawn from two populations differing only in the location parameter. We call such a test as test of homogeneity. In practice the power of such a bidirectional test will be studied referring to the absolute value of the shiftδand to the same probability models considered by Fried and Dehling.
基金supported by the National Natural Science Foundation of China (Grant No.42176186).
文摘The depth from extreme points(DEXP)method can be used for estimating source depths and providing a rough image as a starting model for inversion.However,the application of the DEXP method is limited by the lack of prior information regarding the structural index.Herein,we describe an automatic DEXP method derived from Euler’s Homogeneity equation,and we call it the Euler–DEXP method.We prove that its scaling field is independent of structural indices,and the scaling exponent is a constant for any potential field or its derivative.Therefore,we can simultaneously estimate source depths with diff erent geometries in one DEXP image.The implementation of the Euler–DEXP method is fully automatic.The structural index can be subsequently determined by utilizing the estimated depth.This method has been tested using synthetic cases with single and multiple sources.All estimated solutions are in accordance with theoretical source parameters.We demonstrate the practicability of the Euler–DEXP method with the gravity field data of the Hastings Salt Dome.The results ultimately represent a better understanding of the geometry and depth of the salt dome.
基金The National Science Foundation of China (No.52078190)the Natural Science Foundation of Jiangsu Province (No.BK20221501)+1 种基金the Natural Science Youth Fund of Jiangsu Province(No.BK20220983)the Natural Science Foundation of Hebei Province(No.E2019203559)。
文摘目的研究前庭神经鞘瘤放射外科治疗计划中的剂量均匀性指数(homogeneity index,HI)的影响因素,以及HI更简便的替代计算方法。方法回顾性分析301例前庭神经鞘瘤伽玛刀治疗计划,298例病人采用经典单次治疗,3例采用连续低分割治疗。根据国际辐射单位和测量委员会(ICRU)-83标准,计算计划的HI,并评估可能影响HI的因素。计算靶区的剂量变异系数(dose coefficient of variation,Dcv),评估其作为HI替代方案的可行性。结果治疗计划的平均HI为0.60±0.08。单因素分析发现除周边剂量外,所有计划参数与HI的相关性均有统计学意义(均P<0.05)。多因素分析显示:处方剂量线、覆盖率、选择性、梯度指数和靶区体积是有统计学意义的相关因素(均P<0.05)。Dcv可很好拟合HI。结论HI与治疗计划多个参数关系密切。Dcv可试用作为更简便计算HI的替代方法。
