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Discrete sampling theorem to Shannon’s sampling theorem using the hyperreal numbers ∗R
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2021)
Fractional sampling theorem for -bandlimited random signals and its relation to the von neumann ergodic theorem
(Institute of Electrical and Electronics Engineers Inc., 2014)
Considering that fractional correlation function and the fractional power spectral density, for -stationary random signals, form a fractional Fourier transform pair. We present an interpolation formula to estimate a random ...
When is n large enough? Looking for the right sample size to estimate proportions
(Taylor and Francis Ltd., 2019)
The central limit theorem indicates that when the sample size goes to infinite, the sampling distribution of means tends to follow a normal distribution; it is the basis for the most usual confidence interval and sample ...
Dynamical sampling
(Academic Press Inc Elsevier Science, 2017-05)
Let Y={f(i),Af(i),…,Ali f(i):i∈Ω}, where A is a bounded operator on ℓ2(I). The problem under consideration is to find necessary and sufficient conditions on A,Ω,{li:i∈Ω} in order to recover any f∈ℓ2(I) from the measurements ...
Discrete sampling theorem to Shannon’s sampling theorem using the hyperreal numbers RDel teorema del muestreo Discreto a teorema del muestreo de Shannon mediante los números hiperreales R
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2021)
On the sample mean of locally stationary long-memory processes
(ELSEVIER SCIENCE BV, 2010)
Some asymptotic statistical properties of the sample mean of a class locally stationary long-memory process are studied in this paper. Conditions for consistency are investigated and precise convergence rates of the variance ...
The linear interpolation method: a sampling theorem approach
(Sociedade Brasileira de Automática, 2003)
Using a quantum work meter to test non-equilibrium fluctuation theorems
(Nature, 2017-12)
Work is an essential concept in classical thermodynamics, and in the quantum regime, where the notion of a trajectory is not available, its definition is not trivial. For driven (but otherwise isolated) quantum systems, ...
OCCUPATION TIMES SEQUENCES AND MARTINGALES OF SIMPLE RANDOM WALKS ON THE REAL LINE
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)