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In this paper, a functional partial quantile regression approach, a quantile regression analog of the functional partial least squares regression, is proposed to estimate the function-on-function linear quantile regression model. A partial…

Methodology · Statistics 2021-09-14 Ufuk Beyaztas , Han Lin Shang , Aylin Alin

We propose a computationally straightforward test for the linearity of a spatial interaction function. Such functions arise commonly, either as practitioner imposed specifications or due to optimizing behaviour by agents. Our conditional…

Econometrics · Economics 2025-04-30 Abhimanyu Gupta , Jungyoon Lee , Francesca Rossi

This paper gives a general method for deriving limiting distributions of complete case statistics for missing data models from corresponding results for the model where all data are observed. This provides a convenient tool for obtaining…

Statistics Theory · Mathematics 2013-02-20 Hira L. Koul , Ursula U. Müller , Anton Schick

In this paper, we study statistical inference in functional quantile regression for scalar response and a functional covariate. Specifically, we consider a functional linear quantile regression model where the effect of the covariate on the…

Methodology · Statistics 2022-08-23 Meng Li , Kehui Wang , Arnab Maity , Ana-Maria Staicu

There are many interesting and widely used estimators of a functional with finite semiparametric variance bound that depend on nonparametric estimators of nuisance functions. We use cross-fitting (i.e. sample splitting) to construct novel…

Statistics Theory · Mathematics 2018-01-30 Whitney K. Newey , James R. Robins

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

Methodology · Statistics 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

Functional data analysis tools, such as function-on-function regression models, have received considerable attention in various scientific fields because of their observed high-dimensional and complex data structures. Several statistical…

Methodology · Statistics 2020-09-22 Ufuk Beyaztas , Han Lin Shang

Among semiparametric regression models, partially linear additive models provide a useful tool to include additive nonparametric components as well as a parametric component, when explaining the relationship between the response and a set…

Methodology · Statistics 2024-02-01 Graciela Boente , Alejandra Martínez

We consider a nonparametric autoregression model under conditional heteroscedasticity with the aim to test whether the innovation distribution changes in time. To this end we develop an asymptotic expansion for the sequential empirical…

Methodology · Statistics 2012-11-07 Leonie Selk , Natalie Neumeyer

This paper proposes several tests of restricted specification in nonparametric instrumental regression. Based on series estimators, test statistics are established that allow for tests of the general model against a parametric or…

Econometrics · Economics 2019-09-24 Christoph Breunig

We propose a score test for dependence predictability in conditional copulas that is robust to temporal instabilities. Our semiparametric procedure accommodates flexible dynamics in the marginal processes and remains agnostic about the…

Econometrics · Economics 2026-03-03 Alexander Mayer , Tatsushi Oka , Dominik Wied

This paper considers the quantile regression approach for partially linear spatial autoregressive models with possibly varying coefficients. B-spline is employed for the approximation of varying coefficients. The instrumental variable…

Methodology · Statistics 2016-08-08 Xiaowen Dai , Shaoyang Li , Maozai Tian

In this paper, two tests, based on CUSUM of the residuals and least squares estimation, are studied to detect in real time a change-point in a nonlinear model. A first test statistic is proposed by extension of a method already used in the…

Statistics Theory · Mathematics 2013-02-28 Gabriela Ciuperca

This paper proposes nonparametric two-sample tests for the direct comparison of the probabilities of a particular transition between states of a continuous time nonhomogeneous Markov process with a finite state space. The proposed tests are…

Methodology · Statistics 2020-02-24 Giorgos Bakoyannis

Consider a random vector $(X,Y)$ and let $m(x)=E(Y|X=x)$. We are interested in testing $H_0:m\in {\cal M}_{\Theta,{\cal G}}=\{\gamma(\cdot,\theta,g):\theta \in \Theta,g\in {\cal G}\}$ for some known function $\gamma$, some compact set…

Statistics Theory · Mathematics 2008-07-16 Ingrid Van Keilegom , César Sánchez Sellero , Wenceslao González Manteiga

We consider a stationary $AR(p)$ model. The autoregression parameters are unknown as well as the distribution of innovations. Based on the residuals from the parameter estimates, an analog of empirical distribution function is defined and…

Statistics Theory · Mathematics 2020-03-10 Michael Boldin

We introduce two novel procedures to test the nullity of the slope function in the functional linear model with real output. The test statistics combine multiple testing ideas and random projections of the input data through functional…

Statistics Theory · Mathematics 2013-02-12 Nadine Hilgert , André Mas , Nicolas Verzelen

Testing hypotheses of goodness-of-fit about mixture distributions on the basis of independent but not necessarily identically distributed random vectors is considered. The hypotheses are given by a specific distribution or by a family of…

Statistics Theory · Mathematics 2016-04-21 Daniel Gaigall

The partially linear binary choice model can be used for estimating structural equations where nonlinearity may appear due to diminishing marginal returns, different life cycle regimes, or hectic physical phenomena. The inference procedure…

Econometrics · Economics 2023-12-01 Wenzheng Gao , Zhenting Sun

In functional data analysis, functional linear regression has attracted significant attention recently. Herein, we consider the case where both the response and covariates are functions. There are two available approaches for addressing…

Methodology · Statistics 2021-09-28 Mauro Bernardi , Antonio Canale , Marco Stefanucci