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Is convergence rate monotonic?
Acta Oeconomica, 2007The paper aims to develop a model of nonlinear economic growth — with simple assumptions — which explains both Japan’s S -shape convergence path and the UK’s declining path toward the US between 1870–2000, and the development of other countries, as well as post-war reconstruction. According to the model, progress in stock of knowledge is formed by a
Csillik, P., Tarján, T.
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1996
In this chapter we consider the general pattern recognition problem: Given the observation X and the training data D n = ((X 1, Y 1),..., (X n , Y n )) of independent identically distributed random variable pairs, we estimate the label Y by the decision . The error probability is .
Luc Devroye +2 more
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In this chapter we consider the general pattern recognition problem: Given the observation X and the training data D n = ((X 1, Y 1),..., (X n , Y n )) of independent identically distributed random variable pairs, we estimate the label Y by the decision . The error probability is .
Luc Devroye +2 more
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Subgeometric Rates of Convergence
2018We have seen in Chapter 11 that a recurrent irreducible kernel P on \(\mathsf {X}\times \mathscr {X}\) admits a unique invariant measure that is a probability measure \(\pi \) if the kernel is positive. If the kernel is, moreover, aperiodic, then the iterates of the kernel \(P^n(x,\cdot )\) converge to \(\pi \) in f-norm for \(\pi \)-almost all \(x\in \
Randal Douc +3 more
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2009
In applications of asymptotic theorems of spectral analysis of large dimensional random matrices, one of the important problems is the convergence rate of the ESD. It had been puzzling probabilists for a long time until the papers of Bai [16, 17] were published.
Zhidong Bai, Jack W. Silverstein
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In applications of asymptotic theorems of spectral analysis of large dimensional random matrices, one of the important problems is the convergence rate of the ESD. It had been puzzling probabilists for a long time until the papers of Bai [16, 17] were published.
Zhidong Bai, Jack W. Silverstein
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Geometric Rates of Convergence
2018We have seen in Chapter 11 that a positive recurrent irreducible kernel P on \(\mathsf {X}\times \mathscr {X}\) admits a unique invariant probability measure, say \(\pi \). If the kernel is, moreover, aperiodic, then the iterates of the kernel \(P^n(x,\cdot )\) converge to \(\pi \) in total variation distance for \(\pi \)-almost all \(x\in \mathsf {X}\)
Randal Douc +3 more
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Stability and Convergence Rate
2020The concept of stability introduced in the famous thesis of Lyapunov [1] is one of the central notions of the modern control theory. Many problems of state estimation and control can be reduced to a stability analysis or to a stabilization of solutions of certain dynamical models.
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