共查询到20条相似文献,搜索用时 31 毫秒
1.
M. A. El-Shandidy 《Journal of Applied Mathematics and Computing》2006,20(1-2):225-238
Generalized order statistics (gos) introduced by Kamps [8] as a unified approach to several models of order random variables (rv’s), e.g., (ordinary) order statistics (oos), records, sequential order statistics (sos). In a wide subclass of gos, included oos and sos, the possible limit distribution functions (df’s) of the maximum gos are obtained in Nasri-Roudsari [10]. In this paper, for this subclass, as the df of the suitably normalized extreme gos converges on an interval [c, d] to one of possible limit df’s of the extreme gos, the continuation of this (weak) convergence on the whole real line to this limit df is proved. 相似文献
2.
The class of limit distribution functions (df’s) of the random bivariate extreme, central and intermediate generalized order statistics (gos) from independent and identically distributed random variables (rv’s) is fully characterized. The cases, when the random sample size is independent of the basic variables and when the interrelation between the random sample size and the basic variables is not restricted, are considered. 相似文献
3.
It is proved that the correlation coefficient between the elements of the order statistics is maximal for a rectangularly (uniformly) distributed population. 相似文献
4.
ON A SURJECTIVITY FOR THE SUM OF TWO MAPPINGS OF MONOTONE TYPE 总被引:2,自引:0,他引:2
Zhao Yichun 《数学年刊B辑(英文版)》1985,6(4):471-480
In this paper the sum(T+S)of two nonlinear mappings is considered,where T ismaximal monotone or generalized pseudomonotone and S is generalized pseudomonotone orof type(M).By using the concepts of T-boundedness,T-generalized pseudomonotonemappings and mappings of type T--(M) introduced by the author,it is proved that(T+S) is of type (M).A new surjectivity result for multivalued pseudo A-propermappings is given.As a consequence,it is obtained that the coercive mappings of type(M)whose effective domain contains a dense linear subspace are surjectivity. In particular,the author answers affirmatively a part of Browder's question(see[1],p.70). 相似文献
5.
Koen Thas 《Designs, Codes and Cryptography》2003,29(1-3):227-245
In this paper, we describe some aspects of a Lenz(-Barlotti)-type classification of finite generalized quadrangles, which is being prepared by the author. Some new points of view are given. We also prove that each span-symmetric generalized quadrangle of order s > 1 with s even is isomorphic to $ \mathcal{Q} $ (4, s), without using the canonical connection (obtained by S. E. Payne in [15] between groups of order s 3 ? s with a 4-gonal basis and span-symmetric generalized quadrangle of order s. (The latter result was obtained for general s independently by W. M. Kantor in [10], and the author in [30] Finally, we obtain a classification program for all finite translation generalized quadrangles, which is suggested by the main results of [27], [30], [32], [35], [38] and [37]. 相似文献
6.
Svante Janson Markus Kuba Alois Panholzer 《Journal of Combinatorial Theory, Series A》2011,118(1):94-114
Bóna (2007) [6] studied the distribution of ascents, plateaux and descents in the class of Stirling permutations, introduced by Gessel and Stanley (1978) [13]. Recently, Janson (2008) [17] showed the connection between Stirling permutations and plane recursive trees and proved a joint normal law for the parameters considered by Bóna. Here we will consider generalized Stirling permutations extending the earlier results of Bóna (2007) [6] and Janson (2008) [17], and relate them with certain families of generalized plane recursive trees, and also (k+1)-ary increasing trees. We also give two different bijections between certain families of increasing trees, which both give as a special case a bijection between ternary increasing trees and plane recursive trees. In order to describe the (asymptotic) behaviour of the parameters of interests, we study three (generalized) Pólya urn models using various methods. 相似文献
7.
Estimation of spectral gap for Markov chains 总被引:7,自引:0,他引:7
Chen Mufa 《数学学报(英文版)》1996,12(4):337-360
The study of the convergent rate (spectral gap) in theL
2-sense is motivated from several different fields: probability, statistics, mathematical physics, computer science and so on and it is now an active research topic. Based on a new approach (the coupling technique) introduced in [7] for the estimate of the convergent rate and as a continuation of [4], [5], [7–9], [23] and [24], this paper studies the estimate of the rate for time-continuous Markov chains. Two variational formulas for the rate are presented here for the first time for birth-death processes. For diffusions, similar results are presented in an accompany paper [10]. The new formulas enable us to recover or improve the main known results. The connection between the sharp estimate and the corresponding eigenfunction is explored and illustrated by various examples. A previous result on optimal Markovian couplings[4] is also extended in the paper.Research supported in part by NSFC, Qin Shi Sci & Tech. Foundation and the State Education Commission of China. 相似文献
8.
Seiichiro Wakabayashi 《Annali dell'Universita di Ferrara》2006,52(2):471-482
Abstract In this article we shall introduce the results obtained in [16], i.e., we shall give a necessary and sufficient condition that the Cauchy problem for first order hyperbolic systems with constant
coefficient principal part is C∞ well-posed under the maximal rank condition (see the condition (R) below). We shall also give a simple sufficient condition
without any assumptions on the rank.
Keywords: Hyperbolic system, Cauchy problem, Constant coefficient principal part 相似文献
9.
Wang Jiwen 《分析论及其应用》1993,9(4):37-45
In this paper we study the convergence of a class of means on Hp(G) (0<p<1), the means take the Bochner-Riesz means in [1], the generalized Bochner-Riesz means in [2], and the operators
Tσ, in [3] as special cases. We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness
for the means.
Supported by NSFC 相似文献
10.
一九四九年第一届Berkeley会议的论文集上刊印了一篇长达40多页的论文,在这篇论文(见[1])中,许宝騄先生用一个统一的方法,一举解决了一元、多元统计分析中近20个统计量的极限分布。这一方法的想法是非常明确的,它充分利用了数理统计的特点:样本是一组独立同分布的随机变量(或随机向量)。可惜的是后来的许多教科书和专著中,都没有把这一方法给以介绍和展开,其实,现在新提出的某些统计量,它们的极限分布是可以用这一方法求出的,因此,籍助几个重要的例子来说明这一方法还是值得的,本文就是为此目的而写的。 相似文献
11.
Riccarda Rossi Antonio Segatti Ulisse Stefanelli 《Journal de Mathématiques Pures et Appliquées》2011,95(2):205-244
We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions. While the former concept coincides with the notion of curves of maximal slope of Ambrosio et al. (2005) [5], we introduce the latter to include limits of time-incremental approximations constructed via the Minimizing Movements approach (De Giorgi, 1993; Ambrosio, 1995 [3], [15]).For both notions of solutions we prove the existence of the global attractor. Since the evolutionary problems we consider may lack uniqueness, we rely on the theory of generalized semiflows introduced in Ball (1997) [7].The notions of generalized and energy solutions are quite flexible, and can be used to address gradient flows in a variety of contexts, ranging from Banach spaces, to Wasserstein spaces of probability measures. We present applications of our abstract results, by proving the existence of the global attractor for the energy solutions, both of abstract doubly nonlinear evolution equations in reflexive Banach spaces, and of a class of evolution equations in Wasserstein spaces, as well as for the generalized solutions of some phase-change evolutions driven by mean curvature. 相似文献
12.
13.
《Optimization》2012,61(6):797-818
The aim of this article is to analyze the relationship between various notions of abstract convexity structures that we find in the literature, in connection with the problem of the existence of continuous selections and fixed points of correspondences. We focus mainly on the notion of mc -spaces, which was introduced in [J.V. LLinares (1998). Unified treatment of the problem of the existence of maximal elements in binary relations: a characterization. Journal of Mathematical Economics , 29 , 285-302], and its relationship with c -spaces [Ch.D. Horvath (1991). Contractibility and generalized convexity. Journal of Mathematical Analysis and Applications , 156 , 341-357], simplicial convexity [R. Bielawski (1987). Simplicial convexity and its applications. Journal of Mathematical Analysis and Applications , 127 , 155-171], order convexity (used in [Ch.D. Horvath and J.V. LLinares (1996). Maximal elements and fixed points for binary relations on topological ordered spaces. Journal of Mathematical Economics , 25 , 291-306]), B '-simplicial convexity and L -spaces [H. Ben-El-Mechaiekh, S. Chebbi, M. Florenzano and J.V. LLinares (1998). Abstract convexity and fixed points. Journal of Mathematical Analysis and Applications , 222 , 138-150]. Moreover, in the context of mc -spaces, a characterization result of nonempty finite intersection, in the line with the Knaster-Kuratowski-Mazurkiewicz Lemma, some consequences of it and some generalizations of Browder's existence of continuous selection and fixed point theorem are presented. 相似文献
14.
Tianxiao HE 《数学研究及应用》2012,32(6):631-640
Here presented is a unified approach to generalized Stirling functions by using generalized factorial functions, k-Gamma functions, generalized divided difference, and the unified expression of Stirling numbers defined in [16]. Previous well-known Stirling functions introduced by Butzer and Hauss [4], Butzer, Kilbas, and Trujilloet [6] and others are included as particular cases of our generalization. Some basic properties related to our general pattern such as their recursive relations, generating functions, and asymptotic properties are discussed,which extend the corresponding results about the Stirling numbers shown in [21] to the defined Stirling functions. 相似文献
15.
In [3], [ 4 ] we introduced the concept of (0,2)-set in generalized quadrangles, in order to obtain characterizations for P(S,()) and T
2
*
(O). Using these sets we are now able to formulate a characterization for Q(4,q), q odd, by assuming local conditions in an antiregular point x of a generalized quadrangle of order s. 相似文献
16.
17.
SOME COMPARISONS BETWEEN GENERALIZED ORDER STATISTICS 总被引:1,自引:0,他引:1
Qiu Guoxin Wang Jinshan 《高校应用数学学报(英文版)》2007,22(3):325-333
Some stochastic comparisons of generalized order statistics under the right spread order,the location independent riskier order and the total time transform order are investigated in this paper.The underlying distributions and parameters on which generalized order statistics are based are also surveyed to obtain the conditions for increasing the expectations of spacings between the first two generalized order statistics and between the last two generalized order statistics. 相似文献
18.
Messoud Efendiev 《Journal of Mathematical Analysis and Applications》2011,383(2):439-450
We consider Hardy spaces associated to the conjugated Beltrami equation on doubly connected planar domains. There are two main differences with previous studies (Baratchart et al., 2010 [2]). First, while the simple connectivity plays an important role in Baratchart et al. (2010) [2], the multiple connectivity of the domain leads to unexpected difficulties. In particular, we make strong use of a suitable parametrization of an analytic function in a ring by its real part on one part of the boundary and by its imaginary part on the other. Then, we allow the coefficient in the conjugated Beltrami equation to belong to W1,q for some q∈(2,+∞], while it was supposed to be Lipschitz in Baratchart et al. (2010) [2]. We define Hardy spaces associated with the conjugated Beltrami equation and solve the corresponding Dirichlet problem. The same problems for generalized analytic function are also solved. 相似文献
19.
20.
Guido Walz 《Numerical Algorithms》1994,7(2):161-171
It is a well-known fact that the classical (i.e. polynomial) divided difference of orderm, when applied to a functiong, converges to themth-derivative of this function, if the evaluation points all collapse to a single one.In the first part of this paper we shall sharpen this result in the sense that we prove the existence of an asymptotic expansion with limitg
(m)
/m!. This result allows the application of extrapolation methods for the numerical differentiation of funtions.Moreover, in the second and main part of the paper we study generalized divided differences, which were introduced by Popoviciu [10] and further investigated for example by Karlin [2], Walz [15] and, mainly, Mühlbach [6–8]; we prove the existence of an asymptotic expansion also for these generalized divided differences, if the underlying function space is a Polya space. As a by-product, our results show that the generalized divided difference of orderm converges to the value of a certainmth order differential operator. 相似文献