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排序方式: 共有224条查询结果,搜索用时 578 毫秒
21.
Takafumi Isogai 《Annals of the Institute of Statistical Mathematics》1985,37(1):289-301
Summary Some extension of Haldane's multivariate median is carried out by minimization principle of a specified distance function.
Then, making use of the median, three types of measures of multivariate skewness are introduced and their asymptotic null
distributions are obtained. 相似文献
22.
Eitan Zemel 《Annals of Operations Research》1984,1(3):215-238
We analyze the behaviour of thek center and median problems forn points randomly distributed in an arbitrary regionA ofR d . Under a mild assumption on the regionA, we show that fork≦k(n)=o(n/logn), the objective function values of the discrete and continuous versions of these problems are equal to each otheralmost surely. For the two-dimensional case, both these problems can be solved by placing the centers or medians in an especially simple regular hexagonal pattern (the ‘honeycomb heuristic’ of Papadimitriou). This yields the exact asymptotic values for thek center and median problem, namely, α(|A|/k)1/2 and β(|A|/k)1/2, where |A| denotes the volume ofA, α and β are known constants, and the objective of the median problem is given in terms of the average, rather than the usual total, distance. For the 3- and 4-dimensional case, similar results can be obtained for the center problem to within an accuracy of roughly one percent. As a by-product, we also get asymptotically optimal algorithms for the 2-dimensionalp-normk median problem and for the twin problems of minimizing the maximum number of vertices served by any center and similarly for maximizing the minimum. 相似文献
23.
Masafumi Akahira 《Annals of the Institute of Statistical Mathematics》1996,48(2):365-380
Under suitable regularity conditions, it is shown that a third order asymptotically efficient estimator is fourth order asymptotically efficient in some class of estimators in the sense that the estimator has the most concentration probability in any symmetric interval around the true parameter up to the fourth order in the class. This is a resolution of the conjecture by Ghosh (1994, Higher Order Asymptotics, Institute of Mathematical Statistics, Hayward, California). It is also shown that the bias-adjusted maximum likelihood estimator is fourth order asymptotically efficient in the class. 相似文献
24.
25.
利用中国194个站点1957—2001年的逐日温度观测资料和月平均温度资料,分别采用中值和均值两种极端事件检测方法,检测并比较了中国极端高温事件和极端低温事件的变化趋势和空间分布特征.检测表明,年均极端高温的次数在近50年中趋于上升,而年均极端低温的次数有所减少,这与目前观测结果一致,符合全球变暖的特点.在空间分布上,除西南地区部分站点外,近50年中国大部分地区极端低温事件的年均发生次数趋于减少,而极端高温事件发生频率的变化则呈现出东南沿海地区减少、西北内陆地区增加的分布特点.
关键词:
极端事件
全球增暖
变化趋势
中值 相似文献
26.
感度试验在爆炸科学领域有非常广泛的应用,其中位数是含能材料的一个关键性能指标.高效估计感度分布中位数是实际工程应用中的重要问题.文章提出一种两阶段的优化序贯试验设计方法来估计感度分布的中位数,并将正交设计与两阶段优化序贯试验设计方法相结合给出了筛选影响含能材料安定性重要因子的试验设计方法.广泛的模拟比较验证了所提方法在小样本情况下可以获得感度分布中位数的准确估计,并且对模型假设和初始参数猜测具有一定的稳健性.当因子效应不是太小的时候,因子筛选方法可以准确地筛选出有显著影响的因子. 相似文献
27.
Consider the nonparametric regression model
, whereg is an unknown function to be estimated on [0, 1],
are the fixed design points in the interval [0, 1] and
is a triangular array of row iid random variables having median zero. The nearest neighbor median estimator
is taken as the estimator of the unknown functiong(x). Median cross validation (mev) criterion is employed to select the smoothing parameterh. Leth
π
*
be the smoothing parameter chosen by mev criterion. Under mild regularity conditions, the upper and lower bounds ofh
π
*
, the rate of convergence and the weak consistency of the median cross-validated estimate
are obtained.
Project supported by the National Natural Science Foundation of China and the Doctoral Foundation of Education of China. 相似文献
28.
Georgios Pitselis 《Insurance: Mathematics and Economics》2008,42(1):288-300
In classical credibility theory we assume that the vector of claims conditionally on has independent components with identical means. However, this assumption is sometimes unrealistic. To relax this condition Hachemeister (Hachemeister, C.A., 1975. Credibility for regression models with application to trend. In: Kahn, P. (Ed.), Credibility, Theory and Applications. Academic Press, New York) introduced regressors. The presence of large claims can perturb the credibility premium estimation. The lack of robustness of regression credibility estimators, as well as the fairness of tariff evaluation, led to the development of this paper. Our proposal is to apply robust statistics to the regression credibility estimation by using the robust influence function approach of M-estimators. 相似文献
29.
In this paper, we propose a competition-share 3-category principle, on which we unite the problems of natural resources, energy,
population and environment and so on into a mutual scheme, and provide a united model for the comprehensive research on these
problems. This makes the idea of operation analysis of natural resources clearer and the relationships between each of their
parts more obvious. On the basis of the above discussion, we propose mathematical models for the operation analysis of multi-networks
and the solution of the above global comprehensive problems. We discuss, especially, Shengke (growth and restraint) relationships
between two networks of natural resources and share-competitors and their analysis models, providing mathematical tools for
solving the problems of the resource-population and the resource-economy, etc.
Supported by Science Fund of Lanzhou University. 相似文献
30.
For a multinormal distribution with an unknown dispersion matrix, union-intersection (UI) tests for the mean against one-sided alternatives are considered. The null distribution of the UI test statistic is derived and its power monotonicity properties are studied. A Stain-type two-stage procedure is proposed to eliminate some of the inherent drawbacks of such tests. Some comparisons are also made with some recently proposed alternative conditional likelihood ratio tests. 相似文献