Uniform asymptotic normality of self-normalized weighted sums of random variables*
Sign Up to like & getrecommendations! Published in 2019 at "Lithuanian Mathematical Journal"
DOI: 10.1007/s10986-019-09461-w
Abstract: Let X, X1, X2, . . . be a sequence of nondegenerate i.i.d. random variables, let μ = {μni : n ∈ ℕ+, i = 1, …, n} be a triangular array of possibly random… read more here.
Keywords: asymptotic normality; random variables; weighted sums; self normalized ... See more keywords
Asymptotic normality of some conditional nonparametric functional parameters in high-dimensional statistics
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DOI: 10.1007/s41237-018-0057-9
Abstract: This paper deals with the convergence in distribution of estimators of some conditional parameters in the Functional Data Analysis framework. In fact, we consider models where the input is of functional kind and the output… read more here.
Keywords: asymptotic normality; nonparametric functional; normality conditional; normality ... See more keywords
Asymptotic normality of a robust kernel estimator of the regression function for functional ergodic data: Case of an unknown scale parameter
Sign Up to like & getrecommendations! Published in 2019 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2019.04.010
Abstract: Abstract Under a nonparametric robust regression model, we consider the problem of estimating the score function ψ x for a fixed x in a functional space and with unknown scale parameter. The principal aim of… read more here.
Keywords: regression; unknown scale; asymptotic normality; function ... See more keywords
Asymptotic normality in t-stack sortable permutations
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DOI: 10.1017/s0013091520000334
Abstract: Abstract In this paper, we show that the numbers of t-stack sortable n-permutations with k − 1 descents satisfy central and local limit theorems for t = 1, 2, n − 1 and n −… read more here.
Keywords: asymptotic normality; stack sortable; sortable permutations; normality stack ... See more keywords
Consistency and asymptotic normality of Latent Block Model estimators
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DOI: 10.1214/20-ejs1695
Abstract: The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation… read more here.
Keywords: asymptotic normality; block model; model; latent block ... See more keywords