Testing strict monotonicity in nonparametric regression [PDF]
Mathematical Methods of Statistics, 2007 A new test for strict monotonicity of the regression function is proposed which is based on a composition of an estimate of the inverse of the regression function with a common regression estimate. This composition is equal to the identity if and only if the “true” regression function is strictly monotone, and a test based on an L2-distance is ...
Holger Dette
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Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator [PDF]
Abstract and Applied Analysis, 2012 We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds
Khalil Ben Haddouch +3 more
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Existence of minimizers for non-quasiconvex functionals by strict monotonicity
Communications on Pure and Applied Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandro Zagatti
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Strict monotonicity of percolation thresholds under covering maps [PDF]
Annals of Probability, 2019 We answer a question of Benjamini and Schramm by proving that under reasonable conditions, quotienting a graph strictly increases the value of its percolation critical parameter $p_c$. More precisely, let $\mathcal{G}=(V,E)$ be a quasi-transitive graph with $p_c(\mathcal{G})<1$, and let $G$ be a nontrivial group that acts freely on $V$ by graph ...
Martineau, Sébastien, Severo, Franco
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Strict K-monotonicity and K-order continuity in symmetric spaces [PDF]
Positivity, 2017 This paper is devoted to strict $K$- monotonicity and $K$-order continuity in symmetric spaces. Using the local approach to the geometric structure in a symmetric space $E$ we investigate a connection between strict $K$-monotonicity and global convergence in measure of a sequence of the maximal functions.
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Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
AxiomsLower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Cui Yunan, Yanli Liu
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Strict monotonicity and convergence rate of Titterington’s algorithm for computing D-optimal designs [PDF]
Computational Statistics and Data Analysis, 2010 We study a class of multiplicative algorithms introduced by Silvey et al. (1978) for computing D-optimal designs. Strict monotonicity is established for a variant considered by Titterington (1978). A formula for the rate of convergence is also derived. This is used to explain why modifications considered by Titterington (1978) and Dette et al.
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Strict monotonicity, strict convexity, and strict contractions in the semigroup theory
Journal of Mathematical Analysis and Applications, 1982 Devys, Christophe, Morel, Jean-Michel
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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Axioms, 2023 In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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