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11.
In this paper we provide three nonparametric tests of independence between continuous random variables based on the Bernstein copula distribution function and the Bernstein copula density function. The first test is constructed based on a Cramér-von Mises divergence-type functional based on the empirical Bernstein copula process. The two other tests are based on the Bernstein copula density and use Cramér-von Mises and Kullback–Leibler divergence-type functionals, respectively. Furthermore, we study the asymptotic null distribution of each of these test statistics. Finally, we consider a Monte Carlo experiment to investigate the performance of our tests. In particular we examine their size and power which we compare with those of the classical nonparametric tests that are based on the empirical distribution function. 相似文献
12.
In this paper, we show that proportions of observations that fall into a random region determined by a given Borel set and a central order statistic converge almost surely, provided that the corresponding population quantile is unique. We also describe three types of possible asymptotic behaviour of these proportions in the case of non-unique population quantile. As an application of our findings we establish limiting properties of numbers of ties with a central order statistics in a discrete sample. Our results are derived not only for independent and identically distributed observations but more generally for strictly stationary and ergodic sequences of random variables. 相似文献
13.
Zachary Zimmer 《统计学通讯:模拟与计算》2017,46(7):5836-5845
This article explores the calculation of tolerance limits for the Poisson regression model based on the profile likelihood methodology and small-sample asymptotic corrections to improve the coverage probability performance. The data consist of n counts, where the mean or expected rate depends upon covariates via the log regression function. This article evaluated upper tolerance limits as a function of covariates. The upper tolerance limits are obtained from upper confidence limits of the mean. To compute upper confidence limits the following methodologies were considered: likelihood based asymptotic methods, small-sample asymptotic methods to improve the likelihood based methodology, and the delta method. Two applications are discussed: one application relating to defects in semiconductor wafers due to plasma etching and the other examining the number of surface faults in upper seams of coal mines. All three methodologies are illustrated for the two applications. 相似文献
14.
Łukasz Smaga 《统计学通讯:模拟与计算》2017,46(10):7654-7667
The nonparametric and parametric bootstrap methods for multivariate hypothesis testing are developed. They are used to approximate the null distribution of the test statistics proposed by Duchesne and Francq (2015), resulting in bootstrap testing procedures. In the problem of testing for the mean vector of a multivariate distribution, the asymptotic validity of the bootstrap methods is proved. The finite sample performance of the new solutions is demonstrated by means of Monte Carlo simulation studies. They indicate that for small-sample size, the bootstrap tests provide a better finite sample properties than the asymptotic tests considered by Duchesne and Francq (2015). 相似文献
15.
Guoping Zeng 《统计学通讯:模拟与计算》2017,46(10):7744-7760
Kolmogorov–Smirnov statistic (KS) is a standard measure in credit scoring. Currently, there are three computational methods of KS: method with equal-width binning, method with equal-size binning and method without binning. This paper compares the three methods in three aspects: Values, Rank Ordering of Scores and Geometrical Way. The computational results on the German Credit Data show that only the method without binning can produce a unique value of KS. It is further proved analytically that the method without binning yields the maximum value of KS among the three methods. The computational results also show that only the method with equal-size binning can be used to evaluate rank ordering of scores. Moreover, it is proved that all the three methods can be used to calculate KS in a geometric way. 相似文献
16.
A gradient-statistic-based diagnostic measure is developed in the context of the generalized linear mixed models. Its performance is assessed by some real examples and simulation studies, in terms of ability in detecting influential data structures and of concordance with the most used influence measures. 相似文献
17.
Juan Kalemkerian 《统计学通讯:理论与方法》2017,46(10):4671-4685
Given i.i.d. Gaussian random variables and after standardizing the sample by subtracting the sample mean and dividing it by the sample deviation, we obtain an integral formula for the distribution of these self-normalized variables. Using geometrical arguments, we obtain the distribution of each and the joint distribution of two of them. These formulas can be used to calculate the expected value of the particular type of Cramér von Mises statistic to test normality. 相似文献
18.
黄玉英 《浙江树人大学学报》2006,6(3):46-49
融资问题已成为民营企业发展的一个瓶颈。在国外,融资租赁是仅次于银行贷款的常用融资方式,对解决企业融资问题发挥了重要作用;但目前我国民营企业运用融资租赁方式进行筹资遇到了一定障碍。在此背景之下,本文基于问卷对浙江民营企业融资租赁现状进行调查,通过对资料和数据的整理,分析了民营企业运用融资租赁方式进行筹资的障碍及其原因;并据此提出了一些可行的对策与建议。 相似文献
19.
统计打假对策探析 总被引:2,自引:0,他引:2
李汝功 《郑州航空工业管理学院学报(社会科学版)》2002,21(2):57-59
统计工作是经济管理的重要基础工作 ,统计信息是制定政策和编制、检查计划的基本依据之一。本文对统计工作中造假的成因、危害进行了剖析 ,提出了相应的打假对策 相似文献
20.
采用二阶Choi-Wigner Ville变换来分析晚电位信号,解决了用时域或频域方法不能观测到晚电位的问题,并对消除交叉干扰项的问题进行了研究。该方法取得很好的效果,特别针对非高斯信号,它能给出更好的时频分辨率,给医生提供一种新的诊断工具。 相似文献