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We present a general nonparametric approach for testing whether a statistical parameter defined through conditional distributions is constant across the conditioning variables. Such hypotheses arise naturally in problems such as assessing…

Methodology · Statistics 2026-04-23 Albert Osom , Ali Shojaie , Aaron Hudson

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

A criterion is proposed for testing hypothesis about the nature of the error variance in the dependent variable in linear model, which separates correctly and incorrectly specified models. In the former only measurement errors determine the…

Methodology · Statistics 2019-11-19 Alexander Kukush , Igor Mandel

This paper presents a novel semiparametric method to study the effects of extreme events on binary outcomes and subsequently forecast future outcomes. Our approach, based on Bayes' theorem and regularly varying (RV) functions, facilitates a…

Econometrics · Economics 2025-02-25 Laura Liu , Yulong Wang

We develop a class of tests for semiparametric vector autoregressive (VAR) models with unspecified innovation densities, based on the recent measure-transportation-based concepts of multivariate {\it center-outward ranks} and {\it signs}.…

Statistics Theory · Mathematics 2020-11-13 Marc Hallin , Davide La Vecchia , Hang Liu

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

Methodology · Statistics 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen

We consider the problem of regression with selectively observed covariates in a nonparametric framework. Our approach relies on instrumental variables that explain variation in the latent covariates but have no direct effect on selection.…

Econometrics · Economics 2020-10-15 Christoph Breunig , Peter Haan

We propose a Bayesian non-parametric approach for modeling the distribution of multiple returns. In particular, we use an asymmetric dynamic conditional correlation (ADCC) model to estimate the time-varying correlations of financial returns…

Portfolio Management · Quantitative Finance 2018-05-10 Audrone Virbickaite , M. Concepción Ausín , Pedro Galeano

In this paper the class of ARCH$(\infty)$ models is generalized to the nonstationary class of ARCH$(\infty)$ models with time-varying coefficients. For fixed time points, a stationary approximation is given leading to the notation ``locally…

Statistics Theory · Mathematics 2007-06-13 Rainer Dahlhaus , Suhasini Subba Rao

Additive models belong to the class of structured nonparametric regression models that do not suffer from the curse of dimensionality. Finding the additive components that are nonzero when the true model is assumed to be sparse is an…

Methodology · Statistics 2025-05-08 Suneel Babu Chatla , Abhijit Mandal

In partially linear additive models the response variable is modelled with a linear component on a subset of covariates and an additive component in which the rest of the covariates enter to the model as a sum of univariate unknown…

Methodology · Statistics 2025-02-19 Alejandra Mercedes Martínez

Value-at-Risk and its conditional allegory, which takes into account the available information about the economic environment, form the centrepiece of the Basel framework for the evaluation of market risk in the banking sector. In this…

Methodology · Statistics 2019-10-03 Gery Geenens , Richard Dunn

Variable selection problem for the nonlinear Cox regression model is considered. In survival analysis, one main objective is to identify the covariates that are associated with the risk of experiencing the event of interest. The Cox…

Machine Learning · Statistics 2022-11-18 Kexuan Li

We develop a simple and unified framework for nonlinear variable selection that incorporates uncertainty in the prediction function and is compatible with a wide range of machine learning models (e.g., tree ensembles, kernel methods, neural…

Machine Learning · Statistics 2022-05-30 Wenying Deng , Beau Coker , Rajarshi Mukherjee , Jeremiah Zhe Liu , Brent A. Coull

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

Statistics Theory · Mathematics 2009-09-29 Mi-Ok Kim

In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predictors nonparametric methods suffer from the curse of…

Statistics Theory · Mathematics 2013-03-19 T. Hildebrandt , N. Bissantz , H. Dette

This study compares statistical properties of ARCH tests that are robust to the presence of the misspecified conditional mean. The approaches employed in this study are based on two nonparametric regressions for the conditional mean. First…

Econometrics · Economics 2019-09-04 Daiki Maki , Yasushi Ota

We develop a novel multivariate semi-parametric framework for joint portfolio Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting. Unlike existing univariate semi-parametric approaches, the proposed framework explicitly models the…

Risk Management · Quantitative Finance 2024-12-23 Giuseppe Storti , Chao Wang

High-dimensional variable selection, with many more covariates than observations, is widely documented in standard regression models, but there are still few tools to address it in non-linear mixed-effects models where data are collected…

Statistics Theory · Mathematics 2024-04-08 Marion Naveau , Guillaume Kon Kam King , Renaud Rincent , Laure Sansonnet , Maud Delattre

This paper introduces a novel quantile approach to harness the high-frequency information and improve the daily conditional quantile estimation. Specifically, we model the conditional standard deviation as a realized GARCH model and employ…

Methodology · Statistics 2021-08-05 Donggyu Kim , Minseog Oh , Yazhen Wang
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