Results 1 to 10 of about 733 (147)

The Hausdorff Moment Problem under Finite Additivity [PDF]

Journal of Theoretical Probability, 2007
The problem of determining a probability measure through its sequence of moments is well-known and several results are already available if the measure is \(\sigma\)-additive. This paper analyses this problem assuming that the measure is only finitely additive. Various moment problems are discussed and studied in this context. For example the Stieltjes
Enrique Miranda, Gert de Cooman, Erik Quaeghebeur   +2 more
exaly   +3 more sources

A Schur–Nevanlinna Type Algorithm for the Truncated Matricial Hausdorff Moment Problem [PDF]

Complex Analysis and Operator Theory, 2021
The main goal of this paper is to achieve a parametrization of the solution set of the truncated matricial Hausdorff moment problem in the non-degenerate and degenerate situation. We treat the even and the odd cases simultaneously. Our approach is based on Schur analysis methods. More precisely, we use two interrelated versions of Schur-type algorithms,
Conrad Mädler, Bernd Kirstein, Bernd Fritzsche   +2 more
exaly   +3 more sources

Rates of convergence in de Finetti’s representation theorem, and Hausdorff moment problem [PDF]

Bernoulli, 2020
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Stefano Favaro, Emanuele Dolera
exaly   +5 more sources

Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem

Complex Analysis and Operator Theory
AbstractGiven a point w in the upper half-plane $$\Pi _{\mathord {+}}$$ Π + , we describe the set of all possible values F(w) of transforms $$F(z)\,{:=}\,\int _{[\alpha ,\beta ]}(x-z)^{-1}\sigma (\textrm{d}x)$$ F
Conrad Mädler, Bernd Kirstein, Bernd Fritzsche   +2 more
exaly   +2 more sources

On two resolvent matrices of the truncated Hausdorff matrix moment problem

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
We consider the truncated Hausdorff matrix moment problem (THMM) in case of a finite number of even moments to be called non degenerate if two block Hankel matrices constructed via the moments are both positive definite matrices.
A. E. Choque-Rivero, B. E. Medina-Hernandez   +1 more
doaj   +1 more source

GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM

CAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong, Mohammad Hossein Modirrousta, Mohammad Hossein Nasirpour, Mohammadreza Mirshekari Chargari, Fardin Mohammadi, Seyed Vahid Moravvej, Leila Rezvanishad, Mohammadreza Rezvanishad, Ivan Bakhshayeshi, Roohallah Alizadehsani, Imran Razzak, Hamid Alinejad‐Rokny, Saeid Nahavandi   +12 more
wiley   +1 more source

Beyond islands: a free probabilistic approach

Journal of High Energy Physics, 2023
We give a free probabilistic proposal to compute the fine-grained radiation entropy for an arbitrary bulk radiation state, in the context of the Penington-Shenker-Stanford-Yang (PSSY) model where the gravitational path integral can be implemented with ...
Jinzhao Wang
doaj   +1 more source

Hausdorff moment problem via fractional moments [PDF]

Applied Mathematics and Computation, 2003
We outline an efficient method for the reconstruction of a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained resorting to maximum entropy technique, under the constraint of some fractional moments. The latter ones are obtained explicitly in terms of the infinite sequence of
Novi Inverardi, Pier Luigi, G. Pontuale, A. Petri, Tagliani, Aldo   +3 more
openaire   +5 more sources

Hausdorff moment problem and nonlinear time optimality [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2022
A complete analytic solution for the time-optimal control problem for nonlinear control systems of the form ẋ1 = u, ẋj = ẋ1j−1, j = 2, …, n, is obtained for arbitrary n. In the paper we present the following surprising observation: this nonlinear optimality problem leads to a truncated Hausdorff moment problem, which gives analytic tools for finding ...
G.M. Sklyar, S. Yu. Ignatovich
openaire   +2 more sources

On the multilinear Hausdorff problem of moments [PDF]

Revista Matemática Complutense, 2013
Given a multi-index sequence $μ_{\mathbf{k}}$, $\mathbf{k} = (k_1,..., k_n) \in \mathbb{N}_0^n$, necessary and sufficient conditions are given for the existence of a regular Borel polymeasure $γ$ on the unit interval $I= [0,1]$ such that $μ_{\mathbf{k}} = \int_{I^n} t_1^{k_1}\otimes ... \otimes t_n^{k_n} γ$.
Ibort, A., Linares, P., Llavona, J. G.
openaire   +3 more sources