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Modern empirical work in Regression Discontinuity (RD) designs often employs local polynomial estimation and inference with a mean square error (MSE) optimal bandwidth choice. This bandwidth yields an MSE-optimal RD treatment effect…

Econometrics · Economics 2020-07-21 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell

We construct an optimal exponential tail decreasing confidence region for an unknown density of distribution in the Lebesgue-Riesz as well as in the uniform} norm, built on the sample of the random vectors based of the famous recursive…

Statistics Theory · Mathematics 2024-09-04 Maria Rosaria Formica , Eugeny Ostrovsky , Leonid Sirota

We begin by introducing a class of conditional density estimators based on local polynomial techniques. The estimators are boundary adaptive and easy to implement. We then study the (pointwise and) uniform statistical properties of the…

Statistics Theory · Mathematics 2023-12-19 Matias D. Cattaneo , Rajita Chandak , Michael Jansson , Xinwei Ma

Elliptical distributions are a simple and flexible class of distributions that depend on a one-dimensional function, called the density generator. In this article, we study the non-parametric estimator of this generator that was introduced…

Statistics Theory · Mathematics 2025-02-24 Victor Ryan , Alexis Derumigny

Line spectral estimation (LSE) from multi snapshot samples is studied utilizing the variational Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) method for a single snapshot, we develop the…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Qi Zhang , Jiang Zhu , Peter Gerstoft , Mihai-Alin Badiu , Zhiwei Xu

We construct a Lebesgue measure preserving natural extension of the random beta-transformation. This allows us to give a formula for the density of the absolutely continuous invariant probability measure, answering a question of Dajani and…

Dynamical Systems · Mathematics 2013-03-06 Tom Kempton

This paper investigates the robust wideband channel estimation problem in the millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) systems. In such a scenario, the beam squint effect that the array response vectors vary…

Signal Processing · Electrical Eng. & Systems 2024-09-25 Li Ge , Lin Chen , Xue Jiang , Weifeng Zhu , Qibo Qin , Xingzhao Liu

In this paper we propose an automatic selection of the bandwidth of the semi-recursive kernel estimators of a regression function defined by the stochastic approximation algorithm. We showed that, using the selected bandwidth and some…

Statistics Theory · Mathematics 2016-07-05 Yousri Slaoui

We extend balloon and sample-smoothing estimators, two types of variable-bandwidth kernel density estimators, by a shift parameter and derive their asymptotic properties. Our approach facilitates the unified study of a wide range of density…

Methodology · Statistics 2015-12-11 Till Hoffmann , Nick S. Jones

The aim of this research is to make a step towards providing a tool for model selection for log-density estimation. The author revisits the procedure for local log-density estimation suggested by Clive Loader (1996) and extends the…

Statistics Theory · Mathematics 2016-07-05 Sergey Dovgal

We discuss and compare various approaches to the problem of bandwidth selection for kernel estimators of intensity functions of spatial point processes. We also propose a new method based on the Campbell formula applied to the reciprocal…

Methodology · Statistics 2016-12-01 O. Cronie , M. N. M. van Lieshout

In this paper we propose an automatic bandwidth selection of the recursive kernel density estimators with missing data in the context of global and local density estimation. We showed that, using the selected bandwidth and a special…

Statistics Theory · Mathematics 2016-06-23 Yousri Slaoui

We propose a method for obtaining maximum likelihood estimates in a model with continuous and binary outcomes. Combinations of left and right censored observations are also naturally modeled in this framework. The model and estimation…

Methodology · Statistics 2015-07-07 Klaus K. Holst , Esben Budtz-Jørgensen , Gitte Moos Knudsen

The majority of existing speech bandwidth extension (BWE) methods operate under the constraint of fixed source and target sampling rates, which limits their flexibility in practical applications. In this paper, we propose a multi-stage…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-05 Ye-Xin Lu , Yang Ai , Zheng-Yan Sheng , Zhen-Hua Ling

In this paper we consider the construction of simultaneous confidence bands for the spectral density of a stationary time series using a Gaussian approximation for classical lag-window spectral density estimators evaluated at the set of all…

Statistics Theory · Mathematics 2025-02-25 Jens-Peter Kreiss , Anne Leucht , Efstathios Paparoditis

We consider Hermite and Laguerre $\beta$-ensembles of large $N\times N$ random matrices. For all $\beta$ even, corrections to the limiting global density are obtained, and the limiting density at the soft edge is evaluated. We use the…

Mathematical Physics · Physics 2012-08-13 Patrick Desrosiers , Peter J. Forrester

Variational Auto-Encoders (VAEs) have become very popular techniques to perform inference and learning in latent variable models as they allow us to leverage the rich representational power of neural networks to obtain flexible…

Machine Learning · Computer Science 2018-11-26 Anthony L. Caterini , Arnaud Doucet , Dino Sejdinovic

Hybrid precoder and combiner designs are conceived for decentralized parameter estimation in millimeter wave (mmWave) multiple-input multiple-output (MIMO) wireless sensor networks (WSNs). More explicitly, efficient pre- and post-processing…

Signal Processing · Electrical Eng. & Systems 2023-06-27 Priyanka Maity , Suraj Srivastava , Kunwar Pritiraj Rajput , Naveen K. D. Venkategowda , Aditya K. Jagannatham , Lajos Hanzo

A deep generative model yields an implicit estimator for the unknown distribution or density function of the observation. This paper investigates some statistical properties of the implicit density estimator pursued by VAE-type methods from…

Statistics Theory · Mathematics 2024-02-09 Hyeok Kyu Kwon , Minwoo Chae

In this paper, we propose and study construction of confidence bands for shape-constrained regression functions when the predictor is multivariate. In particular, we consider the continuous multidimensional white noise model given by $d…

Statistics Theory · Mathematics 2024-01-24 Ashley , Datta , Somabha Mukherjee , Bodhisattva Sen