A General Multiparameter Version of Gnedenko’s Transfer Theorem
نویسنده
چکیده
Limit theorems for a random number of independent random variables are frequently called transfer theorems. Investigations into this direction for sums of random variables with independent random sample size have been originated by Gnedenko. We present a widely applicable transfer theorem for random variables on a general metric space with random multiparameters instead of random sample sizes. This summarizes an intrinsic principle behind the transfer type results known from the literature.
منابع مشابه
A More General Version of the Costa Theorem
In accordance with the Costa theorem, the interference which is independent of the channel input and known non-causally at the transmitter, does not affect the capacity of the Gaussian channel. In some applications, the known interference depends on the input and hence has some information. In this paper, we study the channel with input dependent interference and prove a capacity theorem that n...
متن کاملComments on Multiparameter Estimation in Truncated Power Series Distributions under the Stein's Loss
This comment is to show that Theorem3.3 of Dey and Chung (1991) (Multiparameter estimation intruncated power series distributions under the Stein's loss.emph{Commun. Statist.-Theory Meth.,} {bf 20}, 309-326) may giveus misleading results. Analytically and through simulation, weshow that the Theorem does not improve the given estimator.
متن کاملWeak-star Convergence in Multiparameter Hardy Spaces
We prove a multiparameter version of a classical theorem of Jones and Journé on weak-star convergence in the Hardy space H.
متن کاملParaproducts in One and Several Parameters
For multiparameter bilinear paraproduct operators B we prove the estimate B : L × L 7→ L, 1 < p, q ≤ ∞. Here, 1/p+ 1/q = 1/r and special attention is paid to the case of 0 < r < 1. (Note that the families of multiparameter paraproducts are much richer than in the one parameter case.) These estimates are the essential step in the version of the multiparameter Coifman-Meyer theorem proved by C. M...
متن کاملGeometric Topology of Stratified Spaces
A theory of tubular neighborhoods for strata in manifold stratified spaces is developed. In these topologically stratified spaces, manifold stratified approximate fibrations and teardrops play the role that fibre bundles and mapping cylinders play in smoothly stratified spaces. Applications include a multiparameter isotopy extension theorem, neighborhood germ classification and a topological ve...
متن کامل