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Literatures in state space models focus on parametric inference and prediction, which fail if the state space model is not fully specified and the maximum likelihood estimation does not work. In this paper, we assume the state transition…

Statistics Theory · Mathematics 2020-12-15 Yunyi Zhang , Tingting Wang , Dimitris N. Politis

Site-specific radio frequency (RF) propagation prediction increasingly relies on models built from visual data such as cameras and LIDAR sensors. When operating in dynamic settings, the environment may only be partially observed. This paper…

Robotics · Computer Science 2022-07-05 Mingsheng Yin , Yaqi Hu , Tommy Azzino , Seongjoon Kang , Marco Mezzavilla , Sundeep Rangan

This paper analyzes a new regularized learning scheme for high dimensional partially linear support vector machine. The proposed approach consists of an empirical risk and the Lasso-type penalty for linear part, as well as the standard…

Statistics Theory · Mathematics 2020-06-08 Yifan Xia , Yongchao Hou , Shaogao Lv

Consider a logistic partially linear model, in which the logit of the mean of a binary response is related to a linear function of some covariates and a nonparametric function of other covariates. We derive simple, doubly robust estimators…

Methodology · Statistics 2019-01-29 Zhiqiang Tan

Partial differential equation parameter estimation is a mathematical and computational process used to estimate the unknown parameters in a partial differential equation model from observational data. This paper employs a greedy sampling…

Dynamical Systems · Mathematics 2024-05-15 Ali Forootani , Harshit Kapadia , Sridhar Chellappa , Pawan Goyal , Peter Benner

In modelling time series data coming from different sources, frequencies can easily vary since some variable can be measured at higher frequencies, others, at lower frequencies. Given data measured over spatial units and at varying…

Methodology · Statistics 2025-03-05 Vladimir A. Malabanan , Joseph Ryan G. Lansangan , Erniel B. Barrios

The Proportional Hazards (PH) model is one of the most widely used models in survival analysis, typically assuming a log-linear relationship between covariates and the hazard function. However, in the context of spatial survival data, where…

Methodology · Statistics 2026-02-17 Lorenzo Tedesco , Francesco Finazzi

We introduce a Bayesian Gaussian process latent variable model that explicitly captures spatial correlations in data using a parameterized spatial kernel and leveraging structure-exploiting algebra on the model covariance matrices for…

Machine Learning · Statistics 2018-05-23 Steven Atkinson , Nicholas Zabaras

This study is concerned with the problem of partial state estimation for linear time-invariant (LTI) distributed state-space systems. A necessary and sufficient condition is established in terms of a simple rank criterion involving the…

Optimization and Control · Mathematics 2026-04-02 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

Empirical researchers increasingly use upstream machine-learning (ML) methods to construct proxies for latent target variables from complex, unstructured data. A naive plug-in use of such proxies in downstream econometric models, however,…

Econometrics · Economics 2026-04-14 Lixiong Li

We consider efficient estimation of the Euclidean parameters in a generalized partially linear additive models for longitudinal/clustered data when multiple covariates need to be modeled nonparametrically, and propose an estimation…

Statistics Theory · Mathematics 2014-02-05 Guang Cheng , Lan Zhou , Jianhua Z. Huang

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

Fragmentary data is becoming more and more popular in many areas which brings big challenges to researchers and data analysts. Most existing methods dealing with fragmentary data consider a continuous response while in many applications the…

Methodology · Statistics 2022-02-07 Chaoxia Yuan , Yang Wu , Fang Fang

We propose a method for inference in generalised linear mixed models (GLMMs) and several extensions of these models. First, we extend the GLMM by allowing the distribution of the random components to be non-Gaussian, that is, assuming an…

Methodology · Statistics 2021-07-27 Jeanett S. Pelck , Rodrigo Labouriau

We introduce a broad class of models called semiparametric spatial point process for making inference between spatial point patterns and spatial covariates. These models feature an intensity function with both parametric and nonparametric…

Methodology · Statistics 2025-09-24 Xindi Lin , Bumjun Park , Christopher Zahasky , Hyunseung Kang

In this paper, we present a statistical framework for modeling conditional quantiles of spatial processes assumed to be strongly mixing in space. We establish the $L_1$ consistency and the asymptotic normality of the kernel conditional…

Statistics Theory · Mathematics 2010-01-26 Sophie Dabo Niang , Baba Thiam

With the development of new remote sensing technology, large or even massive spatial datasets covering the globe become available. Statistical analysis of such data is challenging. This article proposes a semiparametric approach to model…

Methodology · Statistics 2019-10-24 Pulong Ma , Emily L. Kang

We propose a shrinkage procedure for simultaneous variable selection and estimation in generalized linear models (GLMs) with an explicit predictive motivation. The procedure estimates the coefficients by minimizing the Kullback-Leibler…

Methodology · Statistics 2010-09-14 Minh-Ngoc Tran , David Nott , Chenlei Leng

Existing identification and estimation methods for semiparametric sample selection models rely heavily on exclusion restrictions. However, it is difficult in practice to find a credible excluded variable that has a correlation with…

Econometrics · Economics 2024-12-03 Zhewen Pan , Yifan Zhang

We study estimation and prediction in linear models where the response and the regressor variable both take values in some Hilbert space. Our main objective is to obtain consistency of a principal components based estimator for the…

Statistics Theory · Mathematics 2014-04-17 Siegfried Hörmann , Łukasz Kidziński