共查询到20条相似文献,搜索用时 31 毫秒
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The main results obtained from 1968 to 1983 in the theory of Markov branching processes and processes with transformations depending on the age of particles are reflected in this article. Along with the traditional sections (integral and local theorems, stationary measures), the survey includes sections devoted to statistics of branching processes. The bibliography contains mainly works reviewed in RZh Matematika.Translated from Itogi Nauki i Tekhniki, Seriya Teoriya Veroyatnostei, Matematicheskaya Stati tika, Teoreticheskaya Kibernetika, Vol. 23, pp. 3–67, 1985. 相似文献
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 2, Teoriya Veroyatnostei i Matematicheskaya Statistika — 1, 1993. 相似文献
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Hermann Thorisson 《Acta Appl Math》1994,34(1-2):85-107
The paper starts by proving that a sequence of random elements can be coupled in such a way that the random elements eventually coincide if and only if liminf of their densities is a density. It continues with a survey of some general coupling theory for stochastic processes and applications to wide sense regenerative processes and Palm theory. Finally, a successful coupling and -coupling of wide sense regenerative processes is constructed without assuming that the inter-regeneration times have finite mean. 相似文献
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Carl-Håkan Andersson Torbjörn Dartman Peter Gredinger Jan Asplund Håkan Strandqvist 《Mechanics of Composite Materials》1998,34(6):525-536
Fiber-reinforced flexible composites are extensively used for different kinds of applications, for example, tubes, drive belts, tires, and coated fabrics. Typical for these materials are matrix materials allowing large strain deformation and reinforcement structures allowing bending. Apart from the tensile strength and limited bending stiffness, damage resistance and ductile-brittle transition characteristics are discussed. The tensile strength usually follows the rule of mixture. The mode of fracture and damage resistance, however, strongly depend on penetration of the matrix into the fiber bundles, textile structure, and internal friction. Models for the work of fracture and the ductile-to-brittle fracture transition are discussed.Presented at the 10th International Conference on the Mechanics of Composite Materials (Riga, April 20–23, 1998).Published in Mekhanika Kompozitnykh Materialov, Vol. 34, No. 6, pp. 747–760, November–December, 1998. 相似文献
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Torbjörn Kolsrud 《Acta Appl Math》1988,12(3):237-263
A general treatment of infinite dimensional Ornstein-Uhlenbeck processes (OUPs) is presented. Emphasis is put on their connection with ordinary Gaussian random fields, and OUPs as symmetric Markov processes. We also discuss the relation to second quantisation and Gaussian Markov random fields.Supported in part by the Swedish Natural Science Research Council, NFR. 相似文献
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Markov additive processes. I 总被引:1,自引:0,他引:1
Erhan Çinlar 《Probability Theory and Related Fields》1972,24(2):85-93
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Nicolae Dinculeanu 《Rendiconti del Circolo Matematico di Palermo》1925,49(2):259-306
In this paper we define the stochastic integral for two parameter processes with values in a Banach spaceE. We use a measure theoretic approach. To each two parameter processX withX st ∈L E p we associate a measureI X with values inL E p . IfX isp-summable, i.e. ifI X can be extended to aσ-additive measure with finite semivariation on theσ-algebra of predictable sets, then the integralε HdI X can be defined and the stochastic integral is defined by (H·X) z =ε [0,z] HdI X . We prove that the processes with finite variation and the processes with finite semivariation are summable and their stochastic integral can be computed pathwise, as a Stieltjes Integral of a special type. 相似文献
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Nicolae Dinculeanu 《Rendiconti del Circolo Matematico di Palermo》2000,49(2):259-306
In this paper we define the stochastic integral for two parameter processes with values in a Banach spaceE. We use a measure theoretic approach. To each two parameter processX withX
st
∈L
E
p
we associate a measureI
X
with values inL
E
p
.
IfX isp-summable, i.e. ifI
X
can be extended to aσ-additive measure with finite semivariation on theσ-algebra of predictable sets, then the integralε HdI
X
can be defined and the stochastic integral is defined by (H·X)
z
=ε
[0,z]
HdI
X
.
We prove that the processes with finite variation and the processes with finite semivariation are summable and their stochastic
integral can be computed pathwise, as a Stieltjes Integral of a special type. 相似文献
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Alan F. Karr 《Journal of multivariate analysis》1985,16(3):368-392
Given i.i.d. point processes N1, N2,…, let the observations be p-thinnings N′1, N′2,…, where p is a function from the underlying space E (a compact metric space) to [0, 1], whose interpretation is that a point of Ni at x is retained with probability p(x) and deleted with probability 1−p(x). Strongly consistent estimators of the thinning function p and the Laplace functional LN(f) = E[e−N(f)] of the Ni are constructed; associated “central limit” properties are given. Tests are presented, for the case when the Ni and N′i are both observable, of the hypothesis that the N′i are p-thinnings of the Ni. State estimation techniques are developed for the case where the Ni are Cox processes directed by unobservable random measures Mi; these techniques yield minimum mean-squared error estimators, based on observation of only the thinned processes N′i of the Ni and the directing measures Mi. Limit theorems for empirical Laplace functionals of point processes are given. 相似文献
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Nicolae Dinculeanu 《Journal of Theoretical Probability》1988,1(2):149-169
In this paper we study the relationship
V
(M)=E(1
M
dV
S
) between operatorvalued processesV with finite variation V and operator-valued stochastic measures
V
with finite variation |
V
|. The variations satisfy the inequality |
V
|
|V|, which, under certain conditions, is an equality (for example, ifV is measurable). 相似文献
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If E is an ordered set, we study the processes Yt, t E, for which the vectorial spaces
t generated by all the conditional expectations E(Ysβ
t) for s ≥ t have finite dimensions d(t) ≤ N. (
t is some convenient filtration.) We first develop a geometrical approach in the general situation and give a “Goursat's representation” Yt = Σfi(t)Mi(t), where the Mi(t) are martingales. We then restrict us to the cases E =
or E =
2 and give representations of the processes by the mean of stochastic integrals of “Goursat's kernels.” The special case when Yt is the solution of a differential equation is considered. 相似文献