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In this paper, we put forward a 2.5D model based on the hexahedron and developed an inversion method of constraint gravity-vertical fault. The inversion result is better than that the 2D model through the model tests. Based on this model, we quantitatively interpreted the Bouguer gravity anomaly of the Sierra Nevada Region in the USA.
本文从六面体模型出发，将二度体模型修改为似二度体模型，建立了一个带约束的重力－垂直断层反演模型，经过理论模型试验，证明效果要优于二度体模型的反演结果，在此基础上对美国内华达州的圣安德烈斯地区的布格重力异常资料做了定量解释。
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The results showed that:(1) we can mapping quantitative trait locus while estimating the variance component of QTL;(2) granddaughter design is better than daughter design when mapping QTL;(3) it is easy to map a QTL for trait with a high heriability and a large QTL variance contribution;(4) we can estimate the variance component of a QTL by TM-BLUP based on ML method whether the QTL has only 2 alleles or QTL has normal distributed alleles effects;(5) the estimation accuracy of variance component contributed by QTL was improved by using of grand daughter design;(6) the higher the heritability and the QTL variance contribution was, the more accurate estimation of QTL variance component.
结果表明：（1）采用随机QTL效应模型和最大似然法，在估计QTL方差组分的同时，能够定位QTL；（2）孙女设计与女儿设计相比，在其它因素相同时，容易检出QTL；（3）遗传力高，QTL方差贡献较大的性状，QTL检出的效果优于遗传力低，QTL方差贡献较小的性状；（4）无论QTL上有2个等位基因，还是QTL上等位基因的效应服从正态分布，都可将其看作随机效应，采用基于TM-BLUP的ML法，估计其方差组分和定位QTL；（5）QTL方差组分估计的准确性，孙女设计高于女儿设计；（6）遗传力高的性状，QTL方差贡献大的QTL，QTL方差组分估计的准确性高。
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The computer simulation showed the blind Sign-EMS MLSE algorithm is superior to conditional blind EMS MLSE algorithm in convergence speed and mean square error in typical telephone channel, symmetric channel and common channel.
通过计算机仿真试验，在典型电话信道，对称信道以及普通信道中，对该算法与传统的LMS盲最大似然估计算法性能作了比较，并证明了该算法在收敛速度、均方误差等方面均优于传统算法。
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In this paper, we put forward a 2.5D model based on the hexahedron and an inversion method of constraint gravity-vertical fault.
本文从六面体模型出发，将二度体模型修改为似二度体模型，建立了一个带约束的重力－垂直断层反演模型，经过理论模型试验证明效果要优于二度体模型的反演结果，在此基础上对美国内华达州的圣安德烈斯地区的布格重力异常资料做了定量解释。
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Secondly, by utilizing the log likelihood ratio and Vuong test statistics, the paper compares these models' descriptive power for the interest rate change behavior, and the result shows that model 5 is preferable to the other four models.
在此基础上，采用对数似然比和Vuong检验统计量，对它们的模型拟合效果进行了比较，结果表明对CKLS模型推广的第二种形式（模型5）优于其他四个模型。
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First,owing to the wide range of use of WeibuU distribution,we propose the Weibull MTD model,which has improved the MTD model based on Gaussian distribution in some thick-tailed cases;Second,some stationarity properties of the model are discussed;After that,we apply the standard EM algorithm to mixture models to get the estimation equations and then expose bootstrap method to calculate confidence region of the parameters;Finally,some simulations and an example are analyzed in detail,which show that when analyzing nonstandard date,such as financial date,insurance date and so on,it is more proper for estimation to use the Weibull MTD model than the Gaussian MTD model.
首先给出基于Weibull分布的混合转移分布模型的一阶与k阶平稳的充分必要条件；接着，应用EM算法，得到了参数的极大似然估计及它们的标准误差；然后，应用Bootstrap方法，得到了参数的置信区间；最后，通过模拟与实例分析，说明该模型在分析来自金融、保险等某些厚尾分布的数据时，在参数估计方面的表现优于高斯混合转移分布模型。
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