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A novel estimation approach for a general class of semi-parametric multivariate time series models is introduced where the conditional mean is modeled through parametric functions. The focus of the estimation is the conditional mean…

Methodology · Statistics 2025-07-21 Mirko Armillotta

This work aims at making a comprehensive contribution in the general area of parametric inference for discretely observed diffusion processes. Established approaches for likelihood-based estimation invoke a time-discretisation scheme for…

Methodology · Statistics 2024-01-30 Yuga Iguchi , Alexandros Beskos , Matthew M. Graham

In this paper we consider two-stage adaptive dose-response study designs, where the study design is changed at an interim analysis based on the information collected so far. In a simulation study, two approaches will be compared for these…

Methodology · Statistics 2016-02-08 Emma McCallum , Björn Bornkamp

Two-phase outcome dependent sampling (ODS) is widely used in many fields, especially when certain covariates are expensive and/or difficult to measure. For two-phase ODS, the conditional maximum likelihood (CML) method is very attractive…

Methodology · Statistics 2022-12-21 Menglu Che , Peisong Han , Jerald F. Lawless

We introduce estimation and test procedures through divergence optimization for discrete or continuous parametric models. This approach is based on a new dual representation for divergences. We treat point estimation and tests for simple…

Statistics Theory · Mathematics 2008-12-02 Michel Broniatowski , Amor Keziou

A significant hurdle for analyzing large sample data is the lack of effective statistical computing and inference methods. An emerging powerful approach for analyzing large sample data is subsampling, by which one takes a random subsample…

Methodology · Statistics 2015-11-24 Rong Zhu , Ping Ma , Michael W. Mahoney , Bin Yu

Multi-stage (designed) procedures, obtained by splitting the sampling budget suitably across stages, and designing the sampling at a particular stage based on information about the parameter obtained from previous stages, are often…

Methodology · Statistics 2014-01-08 Atul Mallik , Moulinath Banerjee , George Michailidis

We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Simon Kuang , Xinfan Lin

Models of stochastic processes are widely used in almost all fields of science. Theory validation, parameter estimation, and prediction all require model calibration and statistical inference using data. However, data are almost always…

Computation · Statistics 2022-09-07 David J. Warne , Thomas P. Prescott , Ruth E. Baker , Matthew J. Simpson

We consider jointly estimating the coefficient matrix and the error precision matrix in high-dimensional multivariate linear regression models. Bayesian methods in this context often face computational challenges, leading to previous…

Methodology · Statistics 2025-08-25 Xuan Cao , Kyoungjae Lee

A Two-Stage approach enables researchers to make optimal non-linear predictions via Generalized Ridge Regression using models that contain two or more x-predictor variables and make only realistic minimal assumptions. The optimal regression…

Methodology · Statistics 2023-07-11 Robert L. Obenchain

This article introduces an L-estimator for the semiparametric Tobit model with endogenous regressors. The estimation procedure follows a two-stage approach: the first stage employs least squares, while the second stage utilizes the…

Methodology · Statistics 2025-09-10 Swati Shukla , Subhra Sankar Dhar , Shalabh

Covariate shift occurs when the distribution of input features differs between the training and testing phases. In covariate shift, estimating an unknown function's moment is a classical problem that remains under-explored, despite its…

Machine Learning · Statistics 2025-07-01 Zhen Zhang , Xin Liu , Shaoli Wang , Jiaye Teng

In this paper, we consider one aspect of the problem of applying decision theory to the design of agents that learn how to make decisions under uncertainty. This aspect concerns how an agent can estimate probabilities for the possible…

Artificial Intelligence · Computer Science 2013-03-26 Adam J. Grove , Daphne Koller

Model selection in the large-P small-N scenario is discussed in the framework of two-stage models. Two specific models are considered, namely, two-stage least squares (TSLS) involving instrumental variables (IVs), and mediation models. In…

Applications · Statistics 2020-03-25 Haim Bar , Kangyan Liu

We consider conditional estimation in two-stage sample size adjustable designs and the following bias. More specifically, we consider a design which permits raising the sample size when interim results look rather promising, and, which…

Methodology · Statistics 2018-08-27 Per Broberg , Frank Miller

This study investigates two-stage plans based on nonparametric procedures for estimating an inverse regression function at a given point. Specifically, isotonic regression is used at stage one to obtain an initial estimate followed by…

Methodology · Statistics 2013-04-18 Runlong Tang , Moulinath Banerjee , George Michailidis , Shawn Mankad

Robust decision making involves making decisions in the presence of uncertainty and is often used in critical domains such as healthcare, supply chains, and finance. Causality plays a crucial role in decision-making as it predicts the…

Methodology · Statistics 2025-07-23 Saideep Nannapaneni , Joseph Sakaya , Kyle Caron , Pedro HM Albuquerque , Zaid Tashman

We investigate the problem of jointly testing a pair of composite hypotheses and, depending on the test result, estimating a random parameter under distributional uncertainties. Specifically, it is assumed that the distribution of the data…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

In recent times empirical likelihood has been widely applied under Bayesian framework. Markov chain Monte Carlo (MCMC) methods are frequently employed to sample from the posterior distribution of the parameters of interest. However,…

Methodology · Statistics 2022-09-07 Sanjay Chaudhuri , Teng Yin