共查询到20条相似文献,搜索用时 140 毫秒
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§1.引言对超前型泛函微分方涅,文献[1]~[6]在x(s)=ξ的初始条件下研究了它在[s, ∞)上为有界的解,本文沿用这种初值问题的提法,探讨具有非线性扰动项的超前型泛函微分方程 相似文献
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二阶NFDE的非振动解的渐近性质及存在性 总被引:1,自引:0,他引:1
§1.引言 关于二阶滞后型及超前型泛函微分方程的非振动解的渐近性和存在性,已得到了许多较好的结果,其中较经典的已被写进专著[1]中。而关于二阶NFDE的非振动解的研究,所见文献还不多。目前只看到[2,3]分别讨论了方程 相似文献
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本文求出了生灭过程积分型泛函的分布的拉普拉斯交换.特别证明了:停留时间的精确分布是混合指数型的;适当规范化后,它的极限分布只可能属于两种类型:或者是指数型的,或者是混合指数型的;各分布中的参数也已求出,有关首达时间的结果可作为停留时间的特殊情况而推出. 相似文献
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Jiwook Jang 《Insurance: Mathematics and Economics》2007,41(1):62-70
For insurance risks, jump processes such as homogeneous/non-homogeneous compound Poisson processes and compound Cox processes have been used to model aggregate losses. If we consider the economic assumption of a positive interest to aggregate losses, Lévy processes have proven to be useful. Also in financial modelling, it has been observed that diffusion models are not robust enough to capture the appearance of jumps in underlying asset prices and interest rates. As a result, jump diffusion processes, which are, simply speaking, combinations of compound Poisson processes with Brownian motion, have gained popularity for modelling in insurance and finance. In this paper, considering a jump diffusion process, we obtain the explicit expression of the joint Laplace transform of the distribution of a jump diffusion process and its integrated process, assuming that jump size follows the mixture of two exponential distributions, which is a special case of phase-type distributions. Based on this Laplace transform, we derive the moments of the aggregate accumulated claim amounts of insurance risk. For a financial application, we concern non-defaultable zero-coupon bond pricing. We also provide several numerical examples for the moments of aggregate accumulated claims and default-free zero-coupon bond prices. 相似文献
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该文建立了带权函数$m:[2, N+1]_\mathbb{Z}\to (0,\infty)$的离散固定梁方程$\Delta^4 u(k-2)=\lambda m(k)u(k),\ k\in[2, N+1]_\mathbb{Z}$, $u(1)=\Delta u(1)=0=u(N+2)=\Delta u(N+2)$的特征值结构和相应特征函数的振荡性质, 其中$[2,N+1]_\mathbb{Z}=\{2,3,\cdots,N+1\}$. 作为应用,当非线性项在零点和无穷远处分别满足适当的增长性条件时, 获得了相应非线性问题结点解的全局结构. 相似文献
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We study poissonized triangular (reducible) urns on two colors, which we take to be white and blue. We analyze the number of white and blue balls after a certain period of time has elapsed. We show that for balanced processes in this class, a different scaling is needed for each color to produce nontrivial limits, contrary to the distributions in the usual irreducible urns which only require the same scaling for both colors. The limit distributions (of the scaled variables) underlying triangular urns are Gamma. The technique we use couples partial differential equations with the method of moments applied in a bootstrapped manner to produce exact and asymptotic moments. For the dominant color, we get exact moments, while relaxing the balance condition. The exact moments include alternating signs and Stirling numbers of the second kind. 相似文献
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本文研究了当q〉1为三次Pisot数,利用递归的方法构造一个无穷序列,通过对此序列,得到mR[q]∩Z[q]与此序列间和mR^-[q]与mR[q]∩Z[q]之间的一些关系. 相似文献
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H-矩阵的实用判定及谱分布 总被引:2,自引:0,他引:2
1引言及记号因为非奇异H-矩阵主对角元非零,所以本文总假定所涉及矩阵主对角元非零,并且设A=(aij)∈Cn×n为n阶复方阵,N={1,2,…,n}.记N1={i∈N |Pi(A)<|aii|Pi(A)}, N4={i∈N | |aii|≥Pi(A)>Ri(A)}, N5={i∈N | |aii|>Pi(A)=Ri(A)},N0={i∈N | |aii|≤Ri(A),|aii|≤Pi(A)},即N=N1∪N2∪N3∪N4∪N5∪N0. 相似文献
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For a wide class of discrete distributions, we derive a representation of the inverse (negative) moments through the Stirling numbers of the first kind and inverse factorial moments. We specialize the results for the Poisson, binomial, hypergeometric and negative binomial distributions. 相似文献
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We consider a single server queue with the interarrival times and the service times forming a regenerative sequence. This
traffic class includes the standard models: iid, periodic, Markov modulated (e.g., BMAP model of Lucantoni [18]) and their superpositions. This class also includes the recently
proposed traffic models in high speed networks, exhibiting long range dependence. Under minimal conditions we obtain the rates
of convergence to stationary distributions, finiteness of stationary moments, various functional limit theorems and the continuity
of stationary distributions and moments. We use the continuity results to obtain approximations for stationary distributions
and moments of an MMPP/GI/1 queue where the modulating chain has a countable state space. We extend all our results to feed-forward
networks where the external arrivals to each queue can be regenerative. In the end we show that the output process of a leaky
bucket is regenerative if the input process is and hence our results extend to a queue with arrivals controlled by a leaky
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This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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David J. Scott Diethelm W��rtz Christine Dong Thanh Tam Tran 《Computational Statistics》2011,26(3):459-476
In this paper we demonstrate a recursive method for obtaining the moments of the generalized hyperbolic distribution. The
method is readily programmable for numerical evaluation of moments. For low order moments we also give an alternative derivation
of the moments of the generalized hyperbolic distribution. The expressions given for these moments may be used to obtain moments
for special cases such as the hyperbolic and normal inverse Gaussian distributions. Moments for limiting cases such as the
skew hyperbolic t and variance gamma distributions can be found using the same approach. 相似文献
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B. H. Margolius 《Queueing Systems》2007,56(3-4):183-194
We derive the transient distribution and periodic family of asymptotic distributions and the transient and periodic moments
for the quasi-birth-and-death processes with time-varying periodic rates. The distributions and moments are given in terms
of integral equations involving the related random-walk process. The method is a straight-forward application of generating
functions.
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