ON CONFIDENCE INTERVALS FOR THE PRODUCT OF THREE MEANS OF THREE NORMALEY DISTRIBUTED POPULATIONS     

E.A.YFANTIS Computer Science Department  University of Neva  Las Vegas  NV  U.S.A.G.T.FLATMAN U.S.Environmental Protection Agency  E.Harmon  Las Vegas  NV  U.S.A. 《地理学报(英文版)》1991,(3)

In many environmental applications,such as exposure assessment and risk modelling,the desiredestimate is a random variable computed as the product of three independently distributed randomvariables.These variables may not necessarily have the same mean and variance.The method for findingthe 100(1-α)% confidence interval for the mean of the product random variable has been proposed bysome practitioners as the product of the 100(1-α)% confidence interval of the three means.In this paperwe show that the distribution of the product of three independent normal random variables is not normal.We find the mean and variance of the product distribution.Further,we show that although the meanof the product is equal to the product of the means,the product of the three confidence intervals is nota good approximation of the confidence intervals for the mean of the product variable.The confidenceinterval of the mean of the product variable may be estimated by computer simulation.An algorithmfor estimating the confidence interval for the mean of the product random variable is given.The programimplementing this algorithm is given as an appendix.  相似文献   

Analysis of the strong motion data of the 1995 Dinar, Turkey earthquake     

E. Durukal  M. Erdik  J. Avci   . Yüzügüllü  Y. Alpay  B. Avar  C. Zülfikar  T. Biro  A. Mert 《Soil Dynamics and Earthquake Engineering》1998,17(7-8):557-578

Dinar earthquake (M_w=6.0, USGS) occurred on October 1, 1995 causing casualties and physical damage (I_o=VII–VIII MSK). The earthquake was associated with predominantly normal faulting. The PGA in Dinar was 0.33 g. Strong motion data associated with the mainshock and aftershocks of the 1995 Dinar, Turkey earthquake have been analyzed to investigate the source, attenuation and site response parameters. Strong motion data were baseline corrected, local magnitudes were computed and inelastic attenuation parameters, seismic moments and corner frequencies were assessed. A parametric analysis is attempted to understand the correlation of damage distribution with the fault parameters. It is believed that the obtained data will complement the relatively scarce earthquake data associated with extensional regimes.  相似文献   

联系参数协因数阵秩亏时扩建网极大条件密度估计     

覃辉 《测绘学院学报》1998,(3)

当联系参数函数不独立时 ,Qx^ ′2 奇异 ,Q- 1x^ ′2 不存在。本文作者从整体平差原理出发 ,推导了 Qx^′2 奇异时扩建网的极大条件密度估计公式 ,总结了等价法方程和参数协因数阵的组成规律。  相似文献   

瞬变测深视电阻率曲线的正演计算及其初步解释     

张秋瑞 《华北地质矿产杂志》1998,13(3):276-284

本文以垂直磁偶极子发射,接地导线测量这样一种发一收装置为例,讨论了求解时间减电磁场问题的计算方法,具体思路是：用线性滤波法,先求解频率域问题,然后且Ｇａｖｅｒ－Ｓｔｅｈｆｅｓｔ逆拉氏变换法将频率测深正演问题转化为相对应瞬变测深（时间域）正演问题,得到了垂直磁极子场中,水平层状介质表面瞬变电磁场分量的近似表达式,由此计算了视电阻率曲线,并从理论上探讨了瞬变测深视电阻率曲线的垂向分辨能力,本文试图对中  相似文献   

大型稀疏正定法方法非零动态存储三角分解法   总被引：2，自引：0，他引：2  

巩学美  魏代勇 《测绘学报》2000,29(3):209-215

本文针对具有正定性质的大型稀疏法方法,提出了大型烯疏正定法方程的非零动态存储三角分解法,动用复式链表来动态存储稀疏矩阵。这种解法规律性强,简单直观,更易于计算机上实现,很好的解决了大型稀疏法方程所遇到的困难,极大提高了数据处理的效率。  相似文献   

甘肃省锁龙地区逃逸构造地质特征   总被引：1，自引：0，他引：1  

赵仁夫  苏建平 《甘肃地质》2000,9(2):8-13

西秦岭地区在印支期受南北方向的挤压 ,北东向逃逸构造较为发育 ,通过几何学、应变学、运动学等特征的研究 ,认为逃逸构造是造山带中重要的构造格架 ,而滑覆是其主要机制  相似文献   

The Main Problem in Satellite Theory Revisited     

Liam M. Healy 《Celestial Mechanics and Dynamical Astronomy》2000,76(2):79-120

Using the elimination of the parallax followed by the Delaunay normalization, we present a procedure for calculating a normal form of the main problem (J ₂ perturbation only) in satellite theory. This procedure is outlined in such a way that an object-oriented automatic symbolic manipulator based on a hierarchy of algebras can perform this computation. The Hamiltonian after the Delaunay normalization is presented to order six explicitly in closed form, that is, in which there is no expansion in the eccentricity. The corresponding generating function and transformation of coordinates, too lengthy to present here to the same order; the generator is given through order four. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

利用矿床原生晕进行深部隐伏矿体预测——以山东埠上金矿为例   总被引：18，自引：0，他引：18  

代西武  杨建民  张成玉  于跃军  徐珏  王风海  丘志刚 《矿床地质》2000,19(3):245-256

科学的成矿预测实质上是在正确的成矿分析基础上的合理推断。埠上金矿是胶东招掖金矿带中部的一个中型金矿,经过多年开采之后,后备储量严重不足,争待扩大远景储量。由于有５０～２００ｍ标高的采矿坑道及几个钻孔资料,使得采集不同垂深之样品成为易事,为矿床原生晕方法提供了基础和前提。研究后认为,埠土金矿原生晕为正向分带序列,在－３００ｍ标高之下有盲矿体存在,矿体向下仍有很大延伸,深部矿体向ＳＷ方向测伏。到１９９  相似文献   

应用GF矩阵法研究方解石的正则振动     

彭文世  刘高魁 《矿物学报》1989,9(1):65-70

本文应用Wilson提出的GF矩阵法对方解石进行了正则振动分析。在Urey-Bra-dley简化力场条件下,作了E类振动的拟合计算,获得的力常数和计算频率分别为:K=5.40,H=0.38,F=1.83(md/A和v_3=1420,v_4=707(cm~(-1))。根据归一化位能分布,从理论上把v_3和v_4分别归属于键伸缩振动和弯曲振动。  相似文献   

The Campania, southern Italy, earthquakes of 1962 August 21     

Rob Westaway 《Geophysical Journal International》1987,88(1):1-24

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