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71.
Let {Tn, n ≥ 1} be an arbitrary sequence of nonlattice random variables and let {Sn, n ≥ 1} be another sequence of positive random variables. Assume that the sequences are independent. In this paper we obtain asymptotic expression for the density function of the ratio statistic Rn = Tn/Sn based on simple conditions on the moment generating functions of Tn and Sn. When Sn = re, our main result reduces to that of Chaganty and Sethura-man[Ann. Probab. 13(1985):97-114]. We also obtain analogous results when Tn and Sn are both lattice random variables. We call our theorems large deviation local limit theorems for Rn, since the conditions of our theorems imply that Rn → c in probability for some constant c. We present some examples to illustrate our theorems. 相似文献
72.
Estimation of the population spectral distribution from a large dimensional sample covariance matrix
Weiming Li Jiaqi Chen Yingli Qin Zhidong Bai Jianfeng Yao 《Journal of statistical planning and inference》2013
This paper introduces a new method to estimate the spectral distribution of a population covariance matrix from high-dimensional data. The method is founded on a meaningful generalization of the seminal Mar?enko–Pastur equation, originally defined in the complex plane, to the real line. Beyond its easy implementation and the established asymptotic consistency, the new estimator outperforms two existing estimators from the literature in almost all the situations tested in a simulation experiment. An application to the analysis of the correlation matrix of S&P 500 daily stock returns is also given. 相似文献
73.
74.
考虑到我国普遍存在大股东集中持股的客观现实,基于大股东"掏空"动机,区分大股东间"监督"与"合谋"两种不同关系,本文构建多个大股东存在下的董事会结构理论模型,并结合该模型的理论涵义推演出研究假设.以1999-2005年A股上市公司为样本对理论模型进行实证检验,结果表明,董事会中内部董事比例和第一大股东选派的外部董事比例都随第一大股东持股比例的增加而增加,随第二大股东持股比例的增加而减少;此外,当公司的终极控制为国有性质的时候,内部董事和第一大股东选派的外部董事比例更大,而独立董事比例则更少.实证检验的结果验证了理论模型的理论预期.表明所提出的理论模型能够揭示多个大股东存在下董事会的结构特征.同时印证了模型构建的正确性. 相似文献
75.
彭陟焱 《西藏民族学院学报》2010,31(2):19-22
碉楼是羌、藏等少数民族在古代修建的一种独具特色的建筑,平时居住及储藏物资,战时则用以防范外来势力的进攻。清朝乾隆年间,中央王朝对大小金川的用兵,大小金川土司除了依仗天时、地势和人力外,更重要的是倚恃碉楼的防御体系抵抗清朝官兵,致使大小金川战争成为乾隆帝“十全武功”中历时最长、耗资颇巨、伤亡甚重的一次战争。 相似文献
76.
Aki Ishii 《统计学通讯:理论与方法》2020,49(7):1561-1577
AbstractWe consider the classification of high-dimensional data under the strongly spiked eigenvalue (SSE) model. We create a new classification procedure on the basis of the high-dimensional eigenstructure in high-dimension, low-sample-size context. We propose a distance-based classification procedure by using a data transformation. We also prove that our proposed classification procedure has consistency property for misclassification rates. We discuss performances of our classification procedure in simulations and real data analyses using microarray data sets. 相似文献
77.
Valentin V. Petrov 《统计学通讯:理论与方法》2013,42(18):2984-2990
78.
Jinwen Chen 《统计学通讯:理论与方法》2013,42(7):1247-1257
In this article, we consider the problem of estimating certain “parameters” in a mixture of probability measures. We show that a single sample is typically suitable for estimating the component measures, but not suitable for estimating the mixing measures, especially when consistency is required. To have consistent estimators of the mixing measure, several samples with increasing size are needed in general. 相似文献
79.
80.
We sample m (m ≥ 1) i.i.d. Pareto random variables with the density function x ?2 (x ≥ 1) and establish two large deviations for the partial sums. In addition, the maxima of sums of the two-tailed Pareto random variables is discussed and some asymptotical forms are obtained also. 相似文献