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Transportation inequalities for Markov kernels and their applications [PDF]
38 pages.
Baudoin, Fabrice, Eldredge, Nathaniel
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On the Best Exponent in Markov Inequality [PDF]
Recall that a compact set \(E\subset\mathbb{C}^{N}\) is said to be a Markov set if there are two constants \(M>0\) and \(m>0\) such that the following inequality \[ \||\nabla P|\|\leq M(\deg P)^m\| P\|_E,\tag{(*)} \] for each polynomial \(P\) holds, where \(\nabla P=(\frac{\partial P}{\partial z_1},\dotsc, \frac{\partial P}{\partial z_N})\), \(|\nabla ...
Baran, Mirosław +2 more
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An extremal inequality for long Markov chains [PDF]
18 pages, 1 figure.
Thomas A. Courtade, Jiantao Jiao
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Exponential inequalities for nonstationary Markov chains [PDF]
Abstract Exponential inequalities are main tools in machine learning theory. To prove exponential inequalities for non i.i.d random variables allows to extend many learning techniques to these variables. Indeed, much work has been done both on inequalities and learning theory for time series, in the past 15 years.
Alquier Pierre +2 more
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Random volumes in d-dimensional polytopes
Random volumes in d-dimensional polytopes, Discrete Analysis 2020:15, 17 pp. This paper concerns the following general question. Given a convex body $X$ in $\mathbb R^d$, how many points do you need to choose at random from inside $X$ before with high ...
Alan Frieze, Wesley Pegden, Tomasz Tkocz
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On Chebyshev–Markov–Krein inequalities
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Allan Pinkus, José M. Quesada
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Markov’s inequality and polynomial mappings [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Markov’s inequality for polynomials with real zeros [PDF]
Markov’s inequality asserts that | |
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On the L 2 Markov Inequality with Laguerre Weight [PDF]
Let $w_α(t)=t^α\,e^{-t}$, $α>-1$, be the Laguerre weight function, and $|\cdot|_{w_α}$ denote the associated $L_2$-norm, i.e., $$ | f|_{w_α}:=\Big(\int_{0}^{\infty}w_α(t)| f(t)|^2\,dt\Big)^{1/2}. $$ Denote by ${\cal P}_n$ the set of algebraic polynomials of degree not exceeding $n$.
Nikolov, Geno, Shadrin, Alexei
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On the Markov inequality in L-spaces
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