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Limit theorems for the number of records in a sequence of independent nonidentically distributed random variables are obtained.
A generalization of the so-called Fα-scheme is given. Bibliography: 4 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 216, 1994, pp. 42–51.
Translated by A. Sudakov. 相似文献
3.
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5.
Of interest here is the influence of loading rate on the stability of structures where inertia is taken into account, with particular attention to the comparison between static and dynamic buckling. This work shows the importance of studying stability via perturbations of the initial conditions, since a finite velocity governs the propagation of disturbances. The method of modal analysis that determines the fastest growing wavelength, currently used in the literature to analyze dynamic stability problems, is meaningful only for cases where the velocity of the perfect structure is significantly lower than the associated wave propagation speeds. 相似文献
6.
7.
In this paper we show that Uspensky's expansion theorem for the Poisson approximation of the distribution of sums of independent Bernoulli random variables can be rewritten in terms of the Poisson convolution semigroup. This gives rise to exact evaluations and simple remainder term estimations for the deviations of the distributions in study with respect to various probability metrics, generalizing results of Shorgin (1977, Theory Probab. Appl., 22, 846–850). Finally, we compare the sharpness of Poisson versus normal approximations. 相似文献
8.
Paul Deheuvels 《Probability Theory and Related Fields》1981,58(1):1-6
Summary If X
1, X
2, ..., are i.i.d. random variables and Y
n
=Max(X
1, ..., X
n
); if for some sequences A
n
, Bn, n=1, 2, ..., E
n
(t)=AnY[nt]+Bn is such that E
n
(1) weakly converges to a non degenerate limit distribution, then we prove that it is possible to construct a sequence of replicates of extremal processes E
(n)(t) on the same probability space, such that d(E
n
(.), E
(n)(.))0 a.s., with the Levy metric. We give the rates of consistency of the approximations. 相似文献
9.
We study the Josephson effect through a quantum dot magnet whose spin is isotropic and which is coupled to the dot electron spin via exchange coupling. We calculate the Andreev levels and the supercurrent and examine the intertwined effect of the exchange coupling, Kondo correlation, and superconductivity. The former suppresses Kondo correlations, which triggers phase transitions from the 0 to the pi state, but strong antiferromagnetic coupling restores the 0 state. The asymmetric phase diagram in the exchange coupling suggests that the coupling sign could be determined in experiments. 相似文献
10.
A mathematical study via variational convergence of a periodic distribution of classical linearly elastic thin plates softly abutted together shows that it is not necessary to use a different continuum model nor to make constitutive symmetry hypothesis as starting points to deduce the Reissner–Mindlin plate model. 相似文献