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101.
Poisson跳的拟线性倒向随机微分方程x(t) ∫tf(s,x(s),,x(s)) y(s)]dMs =ξ,t∈[0,1],这里M = (W,Q)T,其中W为Wiener过程,Q为补偿Poisson过程.利用区间延拓和 Bihari 不等式证明了在某种弱于Lipschitz条件下方程存在唯一适应解,并给出了解的估计,从而将文章[1]的结论推广到带 Poission 跳的情形.另外,本文还讨论了以下形式的边值问题:dx(t) = f(t,x(t),y(t))dt y(t)dMt,Ax(0) Bx(1) =ξ*,t∈[0,1],并证明了在Lipschitz条件下适应解的存在唯一性. 相似文献
102.
Shoji Kasahara Tetsuya Takine Yutaka Takahashi Toshiharu Hasegawa 《Queueing Systems》1993,14(3-4):349-367
Many researchers have studied variants of queueing systems with vacations. Most of them have dealt with M/G/1 systems and have explicitly analyzed some of their performance measures, such as queue length, waiting time, and so on. Recently, studies on queueing systems whose arrival processes are not Poissonian have appeared. We consider a single server queueing system with multiple vacations and E-limited service discipline, where messages arrive to the system according to a switched Poisson process. First, we consider the joint probability density functions of the queue length and the elapsed service time or the elapsed vacation time. We derive the equations for these pdf's, which include a finite number of unknown values. Using Rouché's theorem, we determine the values from boundary conditions. Finally, we derive the transform of the stationary queue length distribution explicitly. 相似文献
103.
We obtain the moment structure of a general class of random variables generated by a Poisson process. We then apply these relationships to several applied probability models. Among these are queues, counter models and low density traffic flow. 相似文献
104.
Zbigniew J. Jurek 《Journal of multivariate analysis》1983,13(4):578-604
Let
= {Ut: t > 0} be a strongly continuous one-parameter group of operators on a Banach space X and Q be any subset of a set
(X) of all probability measures on X. By
(Q;
) we denote the class of all limit measures of {Utn(μ1 * μ2*…*μn)*δxn}, where {μn}Q, {xn}X and measures Utnμj (j=1, 2,…, n; N=1, 2,…) form an infinitesimal triangular array. We define classes Lm(
) as follows: L0(
)=
(
(X);
), Lm(
)=
(Lm−1(
);
) for m=1, 2,… and L∞(
)=m=0∞Lm(
). These classes are analogous to those defined earlier by Urbanik on the real line. Probability distributions from Lm(
), m=0, 1, 2,…, ∞, are described in terms of their characteristic functionals and their generalized Poisson exponents and Gaussian covariance operators. 相似文献
105.
Hans U. Gerber 《Insurance: Mathematics and Economics》1982,1(1):13-18
The paper develops a method for the numerical evaluation of the distribution of aggregate claims and its stop-loss premiums. 相似文献
106.
Chun-Gil Park 《Bulletin of the Brazilian Mathematical Society》2005,36(1):79-97
It is shown that every almost linear mapping
of a unital Poisson JC*-algebra
to a unital Poisson JC*-algebra
is a Poisson JC*-algebra homomorphism when h(2
n
uy) = h(2
n
u) h(y), h(3
n
u y) = h(3
n
u) h(y) or h(q
n
u y) = h(q
n
u) h(y) for all
, all unitary elements
and n = 0, 1, 2, · · · , and that every almost linear almost multiplicative mapping
is a Poisson JC*-algebra homomorphism when h(2x) = 2h(x), h(3x) = 3h(x) or h(qx) = qh(x) for all
. Here the numbers 2, 3, q depend on the functional equations given in the almost linear mappings or in the almost linear almost multiplicative mappings.Moreover, we prove the Cauchy–Rassias stability of Poisson JC*-algebra homomorphisms in Poisson JC*-algebras.*This work was supported by grant No. R05-2003-000-10006-0 from the Basic Research Program of the Korea Science & Engineering Foundation. 相似文献
107.
The objective is to derive the probability distribution of the frequency of occurrence of a subsequence within a nucleotide
sequence under the hypothesis that the four nucleotides occur at random and with equal probability.
We also consider the Compound Poisson approximation for the same distribution. The exact probability distribution can be obtained
by the finite Markov chain imbedding technique introduced by Fu and Koutras (1994), however we can manage the case as well
if the probabilities are not all equal. The compound Poisson approximation by Stein-Chen's method can be used to develop an
approximate probability distribution with proper setting of the definition of the sets of dependence. Such structure gives
a bound on the total variation distance, which tends to get relatively larger as the frequency goes up.
AMS 2000 Subject Classification: Primary: 60E05; Secondary: 60J10 相似文献
108.
109.
M.?V.?MenshikovEmail author S.?Yu.?Popov M.?Vachkovskaia 《Bulletin of the Brazilian Mathematical Society》2003,34(3):417-435
We study the multiscale (fractal) percolation in dimension
greater than or equal to 2, where the model at each level is the
Poisson Boolean model [[, ]]. Also, the random radius
is supposed to be
unbounded. We prove that if the rate of Poisson field is less
than some critical value, then by choosing the scaling parameter
large enough one can assure that there is no multiscale
percolation. Another result of this paper is that if the
expectation of 2d is finite, then the
expectation of the size of the cluster raised to the power is
also finite for small , which is a generalization of one of the
results of [8].1 Partially supported by FAPESP (97/12826–6,
02/02984–3) and CNPq (300676/00–0)2 Partially supported by FAPESP (00/11462–5,
02/03012–5) 相似文献
110.
I. Kurkova 《Journal of statistical physics》2003,111(1-2):35-56
We consider the problem of temperature dependence of the Gibbs states in two spin-glass models: Derrida's Random Energy Model and its analogue, where the random variables in the Hamiltonian are replaced by independent standard Brownian motions. For both of them we compute in the thermodynamic limit the overlap distribution
N
i=1
i
i
/N[–1,1] of two spin configurations , under the product of two Gibbs measures, which are taken at temperatures T,T respectively. If TT are fixed, then at low temperature phase the results are different for these models: for the first one this distribution is D
0
0+D
1
1, with random weights D
0, D
1, while for the second one it is
0. We compute consequently the overlap distribution for the second model whenever T–T0 at different speeds as N. 相似文献