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81.
Regression analysis aims to estimate the approximate relationship between the response variable and the explanatory variables. This can be done using classical methods such as ordinary least squares. Unfortunately, these methods are very sensitive to anomalous points, often called outliers, in the data set. The main contribution of this article is to propose a new version of the Generalized M-estimator that provides good resistance against vertical outliers and bad leverage points. The advantage of this method over the existing methods is that it does not minimize the weight of the good leverage points, and this increases the efficiency of this estimator. To achieve this goal, the fixed parameters support vector regression technique is used to identify and minimize the weight of outliers and bad leverage points. The effectiveness of the proposed estimator is investigated using real and simulated data sets. 相似文献
82.
Two recursive schemes are presented for the calculation of the probabilityP(g(x)≤S n (x)≤h(x) for allx∈®), whereS n is the empirical distribution function of a sample from a continuous distribution andh, g are continuous and isotone functions. The results are specialized for the calculation of the distribution and the corresponding percentage points of the test statistic of the two-sided Kolmogorov-Smirnov one sample test. The schemes allow the calculation of the power of the test too. Finally an extensive tabulation of percentage points for the Kolmogorov-Smirnov test is given. 相似文献
83.
《Journal of Statistical Computation and Simulation》2012,82(8):611-628
This article considers the issue of performing tests in linear heteroskedastic models when the test statistic employs a consistent variance estimator. Several different estimators are considered, namely: HC0, HC1, HC2, HC3, and their bias-adjusted versions. The numerical evaluation is performed using numerical integration methods; the Imhof algorithm is used to that end. The results show that bias-adjustment of variance estimators used to construct test statistics delivers more reliable tests when they are performed for the HC0 and HC1 estimators, but the same does not hold for the HC3 estimator. Overall, the most reliable test is the HC3-based one. 相似文献
84.
Helmut Schellhaas 《Statistical Papers》1999,40(3):343-349
A recursive scheme for the calculation of the distribution of the test statistic of a modified Kolmogorov-Smirnov-test for a rectangular distribution with unknown parameters is given. 相似文献
85.
Chung-Bow Lee 《Scandinavian Journal of Statistics》1997,24(2):201-210
A simple method is proposed to detect the number of change points in a sequence of independent exponential family random variables. An estimator to maximize some criterion, say SC ( k ), which is to maximize the log- likelihood function with some penalty term, is used in detection. Under some mild assumptions, the consistency of the estimator for the true number of change points and the boundedness between the estimated change locations and the true change location are obtained. Some simulated results are given, and the Nile problem is investigated by this method. 相似文献
86.
Angela Montanari 《Statistical Methods and Applications》1995,4(1):89-100
In this paper the most commonly used diagnostic criteria for the identification of outliers or leverage points in the ordinary
regression model are reviewed.
Their use in the context of the errors-in-variables (e.v.) linear model is discussed and evidence is given that under the
e.v. model assumptions the distinction between outliers and leverage points no longer exists. 相似文献
87.
石连栓 《内蒙古工业大学学报》1995,14(3):43-48
本文引进了S-有效性的概念,在目标映射为广义锥-次类凸的条件下,在序线性拓扑空间中讨论了多目标规划的Lagrange乘子,鞍点和几个S-最优性的必要条件,推广了已有的结果。 相似文献
88.
利用度量空间中自映象对相容的条件,讨论了完备度量空间中四个映象的公共不动点的存在性,推广和统一了已有文献中的某些结果. 相似文献
89.
在度量空间与具有W-凸结构的凸度量空间中,讨论了集值与单值映像对重合点的存在性,所得结论推广了有关文献中相应的结论. 相似文献
90.