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This paper considers the problem of estimating the finite-population distribution function and quantiles with the use of auxiliary
information at the estimation stage of a survey. We propose the families of estimators of the distribution function of the
study variate y using the knowledge of the distribution function of the auxiliary variate x. In addition to ratio, product and difference type estimators, many other estimators are identified as members of the proposed
families. For these families the approximate variances are derived, and in addition, the optimum estimator is identified along
with its approximate variance. Estimators based on the estimated optimum values of the unknown parameters used to minimize
the variance are also given with their properties. Further, the family of estimators of a finite-population distribution function
using two-phase sampling is given, and its properties are investigated.
相似文献
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蹇明 《数学物理学报(A辑)》2002,22(3):342-347
该文在经典函数的正族理论基础上建立了随机解析算子函数的正族、一致有界和等度连续等概念,并在此意义下,给出了随机解析算子函数族内闭一致有界与等度连续、正族与一致有界的关系,以及随机解析算子函数族为正族的一个充分必要条件。 相似文献
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We study the multiply-with-carry family of generators proposed by Marsaglia as a generalization of previous add-with-carry families. We define for them an infinite state space and focus our attention on the (finite) subset of recurrent states. This subset will, in turn, split into possibly several subgenerators. We discuss the uniformity of the -dimensional distribution of the output of these subgenerators over their full period. In order to improve this uniformity for higher dimensions, we propose a method for finding good parameters in terms of the spectral test. Our results are stated in a general context and are applied to a related complementary multiply-with-carry family of generators.
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定义了模糊随机变量值凸函数概念,讨论了它的基本性质。此外,给出了判定模糊随机变量值函数凸性的充分必要条件。 相似文献
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Distributional properties of the order statistics are utilized to characterize distributions of interest. Further, the distributions of one sided random dilation and contraction are obtained and important deductions are discussed. 相似文献
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假定{(αi,βi),αi,βi∈(0,1),i∈Z}是一列i.i.d.的随机变量,γi=1-αi-βi,称{(αi,γi,βi),i∈Z}为随机环境.在这个环境上定义一个随机游动{Xk}(称为随机环境中可逗留随机游动):当在x状态时,它以概率αx向右游走一步,以概率βx向左游走一步,或者以概率γx逗留.本文获得了该过程能够游走的最大值的强极限边界. 相似文献
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Wen-sheng Wang 《应用数学学报(英文版)》2007,23(3):495-500
In this paper, we study strong laws of large numbers for random walks in random sceneries. Some mild sufficient conditions for the validity of strong laws of large numbers are obtained. 相似文献
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The problem of estimating a continuous-time random process from its observations at appropriately designed sampling points
is considered. The quality of an estimator is measured by its integrated mean square error (IMSE). Here, sampling points are
designed stepwisely to minimize the IMSE and the best linear unbiased estimator (BLUE) is so determined that the earlier calculations
do not have to be repeated with addition of one or more new samples. For random processes whose covariance has a sharp corner
at the diagonal, it is shown that essentially, an optimal one-step forward sampling location is one of the midpoints of intervals
determined by the current and previous sampling points. Both analytical and numerical examples are considered.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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Michael Voit 《Journal of Theoretical Probability》2009,22(3):741-771
Bessel-type convolution algebras of measures on the matrix cones of positive semidefinite q×q-matrices over ?,?,? were introduced recently by Rösler. These convolutions depend on a continuous parameter, generate commutative hypergroups, and have Bessel functions of matrix argument as characters. In this paper, we study the algebraic structure of these hypergroups. In particular, the subhypergroups, quotients, and automorphisms are classified. The algebraic properties are partially related to the properties of random walks on these matrix Bessel hypergroups. In particular, known properties of Wishart distributions, which form Gaussian convolution semigroups on these hypergroups, are put into a new light. Moreover, limit theorems for random walks are presented. In particular, we obtain strong laws of large numbers and a central limit theorem with Wishart distributions as limits. 相似文献
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该文研究一类推广的${\bf R}^{d}$中具有有限记忆的随机递归模型,引入了一个与该结构有关的函数$\Psi(\beta),\beta\geq 0$,构造了一个随机测度$\mu_\omega$,证明了由该结构产生的随机集 $K(\omega)$的Hausdorff维数是$\alpha:=\inf\{\beta:\Psi(\beta)\leq1\}$. 相似文献
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In this paper, the authors first introduce the tree-indexed Markov chains in random environment, which takes values on a general state space. Then, they prove the existence of this stochastic process, and develop a class of its equivalent forms. Based on this property, some strong limit theorems including conditional entropy density are studied for the tree-indexed Markov chains in random environment. 相似文献
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本文给出阵列框架下的相依随机变量列的随机和弱收敛和稳定收敛的充分必要条件,我们的结果与经典结果相似并囊括此方向上的所有已知结果. 相似文献