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利用锥与半序理论和单调迭代技巧,讨论几类非线性二元算子方程解的存在唯一性,并给出迭代序列收敛速度的估计,改进和推广了某些已有结果.最后给出所得结果的应用。 相似文献
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本文给出了数值求解一类偏积分微分方程的一阶差分全离散格式。时间方向采用了一阶向后差分格式,空间方向采用二阶差分格式,给出了稳定性的证明,误差估计及收敛性的结果,并给出了数值例子。 相似文献
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与相对论Boltzmann方程中的输运算子有关的紧性 总被引:2,自引:0,他引:2
姜正禄 《数学物理学报(A辑)》1997,17(3):330-335
该文给出了一个与相对论Boltzmann方程中的输运算子有关的紧性的结果,它是一个类似于DiPerna和Lions在非相对论情况下给出的紧性的结果的推广,在研究相对论Boltzmann方程中起着很重要的作用. 相似文献
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一类三参数超越方程稳定区域的界面位置 总被引:3,自引:0,他引:3
本文讨论一类三参数超越方程根的分布.Bellman和 Cooke在文[3]中对部分情况a>0,b≥0给出了结果.但这个结果是分析的,不便于应用. 本文对这类方程在整个参数空间(a,b,c)中给出根在左半平面的条件,并给出稳定区域的大致形状及边界曲面的大致位置的图形.应用上较为方便,特别是在分支理论中. 相似文献
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一类泛函微分方程周期解的存在性与应用 总被引:6,自引:1,他引:5
本文给出了一类滞后型泛函微分方程有一个周期解的四个充分性定理,其结果明显地优于著名的Yoshizawa周期解定理,最后给出了应用实例。 相似文献
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The main objective of this work is to calculate and compare different measures of multivariate skewness for the skew-normal family of distributions. For this purpose, we consider the Mardia (1970) [10], Malkovich and Afifi (1973) [9], Isogai (1982) [17], Srivastava (1984) [15], Song (2001) [14], Móri et al. (1993) [11], Balakrishnan et al. (2007) [3] and Kollo (2008) [7] measures of skewness. The exact expressions of all measures of skewness, except for Song’s, are derived for the family of skew-normal distributions, while Song’s measure of shape is approximated by the use of delta method. The behavior of these measures, their similarities and differences, possible interpretations, and their practical use in testing for multivariate normal are studied by evaluating their power in the case of some specific members of the multivariate skew-normal family of distributions. 相似文献
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V. M. Shelkovich 《Mathematische Nachrichten》2005,278(11):1318-1340
We construct some versions of the Colombeau theory. In particular, we construct the Colombeau algebra generated by harmonic (or polyharmonic) regularizations of distributions connected with a half‐space and by analytic regularizations of distributions connected with an octant. Unlike the standard Colombeau's scheme, our theory has new generalized functions that can be easily represented as weak asymptotics whose coefficients are distributions, i.e., in form of asymptotic distributions . The algebra of asymptotic distributions generated by the linear span of associated homogeneous distributions (in the one‐dimensional case) which we constructed earlier [9] can be embedded as a subalgebra into our version of Colombeau algebra. The representation of distributional products in the form of weak asymptotic series proved very useful in solving problems which arise in the theory of discontinuous solutions of hyperbolic systems of conservation laws [10]–[16], [49] and [50]. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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Ramachandran (1969) [9, Theorem 8] has shown that for any univariate infinitely divisible distribution and any positive real number α, an absolute moment of order α relative to the distribution exists (as a finite number) if and only if this is so for a certain truncated version of the corresponding Lévy measure. A generalized version of this result in the case of multivariate infinitely divisible distributions, involving the concept of g-moments, was given by Sato (1999) [6, Theorem 25.3]. We extend Ramachandran’s theorem to the multivariate case, keeping in mind the immediate requirements under appropriate assumptions of cumulant studies of the distributions referred to; the format of Sato’s theorem just referred to obviously varies from ours and seems to have a different agenda. Also, appealing to a further criterion based on the Lévy measure, we identify in a certain class of multivariate infinitely divisible distributions the distributions that are self-decomposable; this throws new light on structural aspects of certain multivariate distributions such as the multivariate generalized hyperbolic distributions studied by Barndorff-Nielsen (1977) [12] and others. Various points relevant to the study are also addressed through specific examples. 相似文献
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Some multivariate semi-Weibull (denoted by MSW) distributions including the Marshall–Olkin multivariate semi-Weibull (denoted by MO-MSW) one are introduced. They are more general than the multivariate Weibull distributions proposed by Lee [L. Lee, Multivariate distributions having Weibull properties, J. Multivariate Anal. 9 (1979) 267–277]. The Marshall–Olkin multivariate semi-Pareto (denoted by MO-MSP) distribution is also defined. Two characterization theorems for the homogeneous MSW are proved. The multivariate minima domain of partial attraction of MSW is studied, and the interrelationships between MO-MSP and MSW are examined. The MSW distribution possesses the minima-semi-stability and minima-infinite divisibility properties. 相似文献
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The purpose of the present paper is to characterize Campbell measures and Palm distributions of random measures and to apply these results in a new approach to the characterizations of infinitely divisible random measures by their Laplace functionals and their Palm distributions. The results on infinitely divisible random measures are well known. They can be found together with a detailed list of references in Kallenberg's monograph [2], which also contains proofs of almost all statements in Section 1 of this paper (see his note on page 9 concerning the Polish space setting). 相似文献
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Volkmar Liebscher 《Mathematische Nachrichten》1993,164(1):103-117
For infinite boson systems in the framework of [5, 9] it is proven that all locally normal states possess conditional local states. This result is used to find a tail-field-measurable decomposition of these states and to characterize their position distributions in completion to [6] as -Point processes. As an example mixed coherent states are investigated. 相似文献
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Handling forecasting problems using fuzzy time series 总被引:10,自引:0,他引:10
In [6–9], Song et al. proposed fuzzy time-series models to deal with forecasting problems. In [10], Sullivan and Woodall reviewed the first-order time-invariant fuzzy time series model and the first-order time-variant model proposed by Song and Chissom [6–8], where the models are compared with each other and with a time-invariant Markov model using linguistic labels with probability distributions. In this paper, we propose a new method to forecast university enrollments, where the historical enrollments of the University of Alabama shown in [7,8] are used to illustrate the forecasting process. The average forecasting errors and the time complexity of these methods are compared. The proposed method is more efficient than the ones presented in [7, 8, 10] due to the fact that the proposed method simplifies the arithmetic operation process. Furthermore, the average forecasting error of the proposed method is smaller than the ones presented in [2, 7, 8]. 相似文献
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Frans A. Boshuizen 《Mathematical Methods of Operations Research》1997,45(1):133-144
This paper considers repair-replacement models introduced by Lam Yeh [6] and [7], and Stadje and Zuckerman [9]. Without imposing reliability theory conditions on the repair and operating distributions, the optimal replacement problem is first solved in a finite horizon setting and then extensions are given to the infinite horizon case. 相似文献
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Steen A. Andersson 《Journal of multivariate analysis》2010,101(4):789-810
Classical Wishart distributions on the open convex cone of positive definite matrices and their fundamental features are extended to generalized Riesz and Wishart distributions associated with decomposable undirected graphs using the basic theory of exponential families. The families of these distributions are parameterized by their expectations/natural parameter and multivariate shape parameter and have a non-trivial overlap with the generalized Wishart distributions defined in Andersson and Wojnar (2004) [4] and [8]. This work also extends the Wishart distributions of type I in Letac and Massam (2007) [7] and, more importantly, presents an alternative point of view on the latter paper. 相似文献
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K. C. Sreeharan Pillai Charles O. Dotson 《Annals of the Institute of Statistical Mathematics》1969,21(1):49-66
Summary In this paper, power comparisons are made for tests of each of the following two hypotheses based on individual characteristic
roots of a matrix arising in each case: (i) independence between ap-set and aq-set of variates in a (p+q)-variate normal population withp≦q and (ii) equality ofp-dimensional mean vectors ofl p-variate normal populations having a common covariance matrix. At first, a few lemmas are given which help to reduce the central
distributions of the largest, smallest, second largest, and the second smallest roots in terms of incomplete beta functions
or functions of them. Since the central distribution of the largest root has been discussed by Pillai earlier in several papers
([6], [8], [9], [11], [12], [13]) cdf’s of the three others in the central case are given. Further, the non-central distributions
of the individual roots forp-3 are considered for the two hypotheses and that of the smaller root forp=2; that of the largest root forp=2 has been obtained by Pillai earlier, (Pillai [11], Pillai and Jayachandran [14]).
The work of this author was supported by the National Science Foundation Grant No. GP-4600. 相似文献