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161.
Cheikh Tidiane Seck 《统计学通讯:理论与方法》2013,42(20):3697-3704
We consider in this note the weak convergence, in the frame of the empirical processes theory, of the nonweighted poverty measures viewed as stochastic processes defined on some space of bounded functions and indexed by real numbers or monotone functions. The results include the asymptotic behavior of the Foster–Greer–Thorbecke process of poverty indices. We use them to follow up the poverty evolution in poor countries between two periods with appropriate curves. 相似文献
162.
刘健 《苏州科技学院学报(社会科学版)》1998,(4)
应用 Wolstenholme 不等式的代数形式,建立了涉及三角形内部任一点的几个二次型不等式,提出了这类不等式的几个猜想。 相似文献
163.
We give new formula for moments of k-th record values in terms of Stirling numbers of the first kind. In particular, the formulae allow to derive the explicit formulae for moments of k-th lower record values from exponential distribution which have not been known yet. Moreover, some interesting identities involving harmonic numbers are also obtained as corollaries to presented results. 相似文献
164.
Ying Tang 《统计学通讯:理论与方法》2017,46(19):9415-9424
Yang et al. (Yang et al., J. Math. Anal. Appl., 410 (2014), 179–189.) have obtained the strong law of large numbers and asymptotic equipartition property for the asymptotic even–odd Markov chains indexed by a homogeneous tree. In this article, we are going to study the strong law of large numbers and the asymptotic equipartition property for a class of non homogeneous Markov chains indexed by a homogeneous tree which are the generalizations of above results. We also provide an example showing that our generalizations are not trivial. 相似文献
165.
We prove a strong law of large numbers for a class of strongly mixing processes. Our result rests on recent advances in understanding of concentration of measure. It is simple to apply and gives finite-sample (as opposed to asymptotic) bounds, with readily computable rate constants. In particular, this makes it suitable for analysis of inhomogeneous Markov processes. We demonstrate how it can be applied to establish an almost-sure convergence result for a class of models that includes as a special case a class of adaptive Markov chain Monte Carlo algorithms. 相似文献
166.
Marco Martini 《Statistical Methods and Applications》1992,1(3):359-376
Summary This paper describes an axiomatic approach to index number theory. A general bilaeral formula which generates a set of indices
of prices and quantities is proposed. This formula is written as a geometric mean, weighted with logarithmic means of relative
values, and includes all of those indices and related cofactors which satisfy the following axiomatic properties: strong identity,
commensurability, linear homogeneity and associativity (or monotonicity). Moreover, two subsets of indices are identified:
the first subset includes those which can be expressed either as geometric means or as expenditure ratios; the corresponding
bounds are given by the Laspeyres' and Paasche's indices. The second subset also satisfies the desired properties of base
and factor reversibility; in this case the bounds are given by Sato Vartia's and Fisher's indices. In addition it is shown
that the intersection between the two subsets identifies a new bilateral ideal index which satisfies the axiomatic and reversibility
properties (base and factor) and may also be written as an expenditure ratio. All other formulas, which do not belong to the
family of the proposed indices, violate some of the axiomatic properties. For multilateral comparisons, a mixed system of
direct and indirect indices which satisfies the transitivity condition is proposed. 相似文献
167.
本文绘出了Fuzzy度量空间的集值映射的几个新的公共不动点定理,它们是文[1]~[4]等最近的主要结果的改进、统一和发展. 相似文献
168.
Patricia Pepple Williamson 《统计学通讯:模拟与计算》2013,42(8):1501-1517
Approximations to the distribution of a discrete random variable originating from the classical occupancy problem are explored. The random variable X of interest is defined to be how many of N elements selected by or assigned to K individuals when each of the N elements is equally likely to be chosen by or assigned to any of the K individuals. Assuming that N represents the number of cells and each of the K individuals is placed in exactly one of the cells, X can also be defined as the number of cells occupied by the Kindividuals. In the literature, various asymptotic results for the distributions of X and (N ? X) are given; however, no guidelines are specified with respect to their utilization. In this article, these approximations are explored for various values of K and N, and rules of thumb are given for their appropriate use. 相似文献
169.
Ching-Ho Yen 《统计学通讯:理论与方法》2013,42(9):1603-1616
Process capability indices are widely used to evaluate the performance of processes in the manufacturing industry. Over the years, the issues have been investigated extensively. Some articles have studied them with fuzzy estimation. However, it seems that no article has proposed a version of triangular fuzzy numbers for critical value to test the process capability. In this article, we use Buckley's approach (2003) to construct the triangular fuzzy numbers for C pl and C pu , especially, the triangular fuzzy numbers for critical values are derived to execute the fuzzy hypothesis testing for C pl and C pu . Some numerical examples are taken to illustrate the proposed methodology. 相似文献
170.