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Furthermore, based on Two-term local quadrat variance algorithm, a scale decomposing method is pointed out. This thesis also evaluates the question that whether we can apply scale decomposing results into gully ordering results for getting gully ordering system keeping the same scale characteristics results.The primary works and contributions of this thesis are summarized as follows:1. Three term local strip lacuanrity algorithm (3TLSL)This thesis shows that the gliding algorithm of Lacunarity has several shortcomings, such as it can only focus on the current analysis window, and is easily influenced by some local irregular values.

更多。本文进行的主要研究工作如下:1、流域沟谷网络多尺度分析模式与算法研究首先,为解决空隙度的滑动框算法只考虑当前窗口、易受局部异常值影响的缺陷,本文提出了顾及邻域空间关系的3阶局部条形窗口空隙度(Three-term Local Strip Lacuanrity,3TLSL)算法,并以模拟沟谷网络为例,对比分析了3TLSL算法与滑动框算法的结果,研究结果显示,3TLSL算法在分析结果的精确性、可靠性、有效性等方面均有明显的提高。

The nonlinearity and discrete gradient inherited in CAViaR model is a conundrum for parameter estimation. We take the asymmetric Laplace distribution with scale parameter as the error process; indicate the variance has a minimum positive value when the scale parameter is a constant, conflicting with the distribution of real financial data. Further we estimate the parameters of indirect TARCH-CAViaR model base on Bayesian framework and Markov chain Monte Carlo method. The optimal scale parameter can also be obtained by Markov chain Monte Carlo method.

CAViaR一般模型中递归分位回归方程的非线性和非连续可微性是参数估计的一个难题,基于含有尺度参数的不对称拉普拉斯分布作为误差过程,指出将尺度参数固定为常数会导致不对称拉普拉斯分布随机变量的方差存在最小正值的限制,与实际金融数据分布不符;进而提出采用贝叶斯分析和马尔科夫链蒙特卡罗模拟方法,估计间接TARCH-CAViaR模型的参数,并可获得尺度参数的合理估计。

Semiparametric generalized linear model; smoothing spline; GCV; CV; statistical diagnostics; Cook distance; local influence; influence matrices; Laplace expansion; Score test statistics; variance component testing; dispersion parameter; random effects; longitudinal data.

基础科学,数学,概率论、数理统计半参数广义线性模型;光滑样条; GCV法; CV法;统计诊断;广义Cook距离;局部影响;影响矩阵; Laplace展开; Score检验统计量;方差成分检验;离差参数;随机效应;纵向数据

This paper is a generalization of the result in [2]. We prove that the least squares estimator of the regression coeffcient is admissible for a wide class of distributions when the variance σ2 is unknown.

这篇文章是成平结果的一般化,即在一个宽广的分布类中,证明了当方差未知时,回归系数最小二乘估计是容许的。

The simulation results also find that the Quasi-Aitken weighted least squares estimator has a smaller asymptotic variance than least squares estimator.

研究结果显示机率加权最小平方法与Quasi-Aitken机率加权最小平方法的回归参数估计式皆具有不偏性,其中Quasi-Aitken机率加权最小平方法的回归参数估计式的变异最小。

Results: Analysis of variance showed that, in the model image level, the score of body image scale in high social comparison group was significantly higher than that in low social comparison group (5.54±1.05) vs.

结果:方差分析显示,在模特意象水平下,高社会比较组的身体意象状态量表得分高于低社会比较组(5.54±1.05) vs。

In the fourth chapter, we research the robust estimation of both mean and variance components in the generalized semiparametric mixed models based on the idea of "robustified likelihood function".

第四章主要基于"稳健化的似然函数"研究了半参数广义混合效应模型下均值和方差分量的稳健估计。

Results The necessary and sufficient condition of the existence and uniqueness of the limit cycles in this system is completely solved, and then the variance of limit cycle as the changing of parameter is discussed.

结果 得到了该系统存在惟一极限环的充要条件,并讨论了极限环随参数变化的情况。

The variance analysis of blood protein polymorphic loci and its performance indicates that two protein loci have a positive or negative correlation with some traits of red steppe and the improved limousin cattle population.

结论]血液蛋白多态性位点与生产性能的方差分析表明,2个蛋白位点对草原红牛及其利木赞改良牛群体的某些性状存在正相关或负相关。

Linear Statistical Models:Linear Regression and Analysis of Variance.

线性统计模型——线性回归与方差分析。

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