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181.
AbstractWe give here an almost sure central limit theorem for self-normalized partial sums of a strictly stationary φ-mixing sequences which is in the domain of attraction of the normal law with mean zero and possibly infinite variance. Our result substantially extend a result on the almost sure central limit theorem previously obtained by Huang and Pang (2010). 相似文献
182.
In this paper, we are interested in the joint distribution of two order statistics from overlapping samples. We give an explicit formula for the distribution of such a pair of random variables under the assumption that the parent distribution is absolutely continuous. We are also interested in the question to what extent conditional expectation of one of such order statistic given another determines the parent distribution. In particular, we provide a new characterization by linearity of regression of an order statistic from the extended sample given the one from the original sample, special case of which solves a problem explicitly stated in the literature. It appears that to describe the correct parent distribution it is convenient to use quantile density functions. In several other cases of regressions of order statistics we provide new results regarding uniqueness of the distribution in the sample. 相似文献
183.
双重价格机制下经济系统的运行研究 总被引:1,自引:0,他引:1
本文研究双重价格机制下经济系统的运行,建立了混合经济的价值理论,证明了竞争均衡的存在性,这一研究对于理解混合经济系统的运行有重要的意义。 相似文献
184.
积分中值定理“中间点”收敛速度的一个估计 总被引:4,自引:1,他引:3
利用函数连续模分别给出了第一积分中值定理和第二积分中值定理的“中间点”收敛速度的一个估计。 相似文献
185.
186.
提出 Menger 概率赋范线性空间上集合有界性的简化定义,利用 Menger概率赋范空间的线性拓扑性质,在较弱的 t-模条件下,建立了概率有界、概率半有界、非概率无界意义下线性算子的共鸣定理。 相似文献
187.
建立了复调和函数积分,得出了其Cauchy积分定理与Cauchy积分公式,并讨论了单位圆上复调和函数Cauchy积分公式的特征. 相似文献
188.
Yu Hayakawa 《Journal of statistical planning and inference》1998,70(2):225-240
We introduce a new notion of positive dependence of survival times of system components using the multivariate arrangement increasing property. Following the spirit of Barlow and Mendel (J. Amer. Statist. Assoc. 87, 1116–1122), who introduced a new univariate aging notion relative to exchangeable populations of components, we characterize a multivariate positive dependence with respect to exchangeable multicomponent systems. Closure properties of such a class of distributions under some reliability operations are discussed. For an infinite population of systems our definition of multivariate positive dependence can be considered in the frequentist’s paradigm as multivariate totally positive of order 2 with an independence condition. de Finetti(-type) representations for a particular class of survival functions are also given. 相似文献
189.
Prajamitra Bhuyan 《统计学通讯:模拟与计算》2017,46(4):2701-2713
Reliability function is defined under suitable assumptions for dynamic stress–strength scenarios where strength degrades and stress accumulates over time. Methods for numerical evaluation of reliability are suggested under deterministic strength degradation and cumulative damage due to shocks arriving according to a point process, in particular a Poisson process, using simulation method and inversion theorem. These methods are specifically useful in the scenarios where damage distributions do not possess closure property under convolution. The method is also extended for non-identical, dependent damage distributions as well as for random strength degradation. Results from inversion method is compared with known approximate methods and also verified by simulation. As it turns out, the simulation method seems to have an edge in terms of computational burden and has much wider domain of applicability. 相似文献
190.
Qing-Pei Zang 《统计学通讯:理论与方法》2017,46(3):1050-1055