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Asymptotic results for nonparametric regression estimators after sufficient dimension reduction estimation
Prediction, in regression and classification, is one of the main aims in modern data science. When the number of predictors is large, a common first...
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Nonparametric estimation of the shape functions and related asymptotic results
Arriaza et al (Metrika 82:99–124, 2019) introduced the right and left shape functions, which enjoy interesting properties in terms of describing the...
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Faster Asymptotic Solutions for N-Mixtures on Large Populations
We derive an asymptotic likelihood function for open-population N -mixture models and show that it has favorable computational complexity and accuracy...
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Asymptotic Results for m-th Exponential Spacings
In this work, we discuss m -th exponential spacings △ k : m : n obtained from order statistics. We study limit results for such spacings when the sample...
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Global-Local Shrinkage Priors for Asymptotic Point and Interval Estimation of Normal Means under Sparsity
The paper addresses asymptotic estimation of normal means under sparsity. The primary focus is estimation of multivariate normal means where we...
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Asymptotic Behaviors of the VaR and CVaR Estimates for Widely Orthant Dependent Sequences
This paper considers some asymptotics of value-at-risk (VaR) and conditional value-at-risk (CVaR) estimates in the cases of extended negatively...
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Asymptotic of the number of false change points of the fused lasso signal approximator
It is well-known that the fused lasso signal approximator (FLSA) is inconsistent in change point detection under the presence of staircase blocks in...
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Asymptotic Behaviour of Penalized Robust Estimators in Logistic Regression When Dimension Increases
In the framework of logistic regression in order to obtain sparse models and automatic variable selection, penalized M-estimators that bound the...
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On the Asymptotic Behavior of the Leading Eigenvector of Tyler’s Shape Estimator Under Weak Identifiability
We consider point estimation in an elliptical Principal Component Analysis framework. More precisely, we focus on the problem of estimating the...
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Asymptotic results for linear combinations of spacings generated by i.i.d. exponential random variables
We prove large (and moderate) deviations for a class of linear combinations of spacings generated by i.i.d. exponentially distributed random...
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A Note on Asymptotic Distribution of Trimmed Mean
This article investigates the behavior of the asymptotic distribution of the trimmed mean when the data follow normal, Laplace and Cauchy...
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On the asymptotic behaviour of the joint distribution of the maxima and minima of observations, when the sample size is a random variable
In this paper, we obtain the asymptotic form of the joint distribution of maxima and minima of independent observations, when the sample size is a...
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High-order asymptotic approximations for improved inference under exceptionally low false positive error rates
A methodology for obtaining accurate approximations to p -values of likelihood-based test statistics for a scalar parameter is proposed. The procedure...
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Asymptotic equivalence for nonparametric regression with dependent errors: Gauss–Markov processes
For the class of Gauss–Markov processes we study the problem of asymptotic equivalence of the nonparametric regression model with errors given by the...
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An Asymptotic Expansion for the Distribution of Euclidean Distance-Based Discriminant Function in Normal Populations
This paper presents an asymptotic expansion for the distribution of the Euclidean distance-based discriminant function under two normal populations....
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On the asymptotic behaviour of the joint distribution of the maxima and minima of observations, when the sample size is a random variable
In this paper, we obtain the asymptotic form of the joint distribution of maxima and minima of independent observations, when the sample size is a...
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Asymptotic Properties of the M-estimation for an AR(1) Process with a General Autoregressive Coefficient
In this paper, we consider a first-order autoregressive process with a general autoregressive coefficient. Asymptotic behaviors of an M-estimator of...
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Explicit Non-Asymptotic Bounds for the Distance to the First-Order Edgeworth Expansion
In this article, we obtain explicit bounds on the uniform distance between the cumulative distribution function of a standardized sum
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