Revista Matematica Complutense最新文献

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Fractional powers of the Schrödinger operator on weigthed Lipschitz spaces 加权Lipschitz空间上Schrödinger算子的分数次幂

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-03-23 DOI: 10.1007/s13163-021-00393-z

B. Bongioanni, E. Harboure, P. Quijano

引用次数: 1

On p-parabolicity of Riemannian manifolds and graphs 黎曼流形与图的p-抛物性

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-03-06 DOI: 10.1007/s13163-021-00387-x

Á. Martínez-Pérez, José M. Rodríguez

引用次数: 0

Normalized ground states for the critical fractional NLS equation with a perturbation 带扰动的临界分数阶NLS方程的归一化基态

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-02-23 DOI: 10.1007/s13163-021-00388-w

Maoding Zhen, Binlin Zhang

引用次数: 16

Comparison of Poisson structures on moduli spaces 模空间上泊松结构的比较

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-02-19 DOI: 10.1007/s13163-021-00418-7

I. Biswas, F. Bottacin, T. G'omez

引用次数: 2

Kirby diagrams and 5-colored graphs representing compact 4-manifolds Kirby图和表示紧致4-流形的5-色图

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-01-26 DOI: 10.1007/s13163-022-00438-x

M. R. Casali, P. Cristofori

引用次数: 4

Topological groups with invariant linear spans 具有不变线性张成的拓扑群

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-01-18 DOI: 10.1007/s13163-020-00383-7

Eva Pernecká, Jan Spěvák

引用次数: 0

The group generated by Riordan involutions 由赖尔登对合产生的组

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-01-08 DOI: 10.1007/s13163-020-00382-8

A. Luzón, M. A. Morón, L. F. Prieto-Martínez

引用次数: 10

Global inversion for metrically regular mappings between Banach spaces Banach空间间度量正则映射的全局反演

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-01-05 DOI: 10.1007/s13163-020-00380-w

Olivia Gut'u

引用次数: 2

On the Alexander invariants of trigonal curves 关于三角曲线的亚历山大不变量

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-01-02 DOI: 10.1007/s13163-020-00381-9

M. Üçer

引用次数: 0

Some asymptotic properties of kernel regression estimators of the mode for stationary and ergodic continuous time processes. 平稳和遍历连续时间过程模态核回归估计的渐近性质。

IF 0.8 3区数学 Q1 MATHEMATICS

Revista Matematica Complutense

Pub Date : 2021-01-01 Epub Date: 2020-08-17 DOI: 10.1007/s13163-020-00368-6

Salim Bouzebda, Sultana Didi

In the present paper, we consider the nonparametric regression model with random design based on ${(X_{t}, Y_{t})}_{t \geq 0}$ a $R^{d} \times R^{q}$ -valued strictly stationary and ergodic continuous time process, where the regression function is given by $m (x, ψ) = E (ψ (Y) ∣ X = x))$ , for a measurable function $ψ : R^{q} \to R$ . We focus on the estimation of the location $Θ$ (mode) of a unique maximum of $m (\cdot, ψ)$ by the location ${\hat{Θ}}_{T}$ of a maximum of the Nadaraya-Watson kernel estimator ${\hat{m}}_{T} (\cdot, ψ)$ for the curve $m (\cdot, ψ)$ . Within this context, we obtain the consistency with rate and the asymptotic normality results for ${\hat{Θ}}_{T}$ under mild local smoothness assumptions on $m (\cdot, ψ)$ and the design density $f (\cdot)$ of $X$ . Beyond ergodicity, any other assumption is imposed on the data. This paper extends the scope of some previous results established under the mixing condition. The usefulness of our results will be illustrated in the construction of confidence regions.

本文考虑基于(X t, Y t) t≥0的随机设计的非参数回归模型，其中回归函数为m (X， ψ) = E (ψ (Y)∣X = X))，对于可测函数ψ: R q→R。我们着重于用曲线m(·，ψ)的Nadaraya-Watson核估计量m ^ T(·，ψ)的最大值的位置Θ ^ T来估计m(·，ψ)的唯一最大值的位置Θ(模态)。在此背景下，我们得到了在m(·，ψ)和X的设计密度f(·)的温和局部光滑假设下Θ ^ T的一致性和渐近正态性结果。除了遍历性之外，还对数据施加了任何其他假设。本文扩展了前人在混合条件下建立的一些结果的范围。我们的结果的有用性将在构建置信区域中加以说明。

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引用次数: 11

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