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Many economic and causal parameters depend on nonparametric or high dimensional first steps. We give a general construction of locally robust/orthogonal moment functions for GMM, where moment conditions have zero derivative with respect to…

Monte Carlo and Quasi-Monte Carlo methods present a convenient approach for approximating the expected value of a random variable. Algorithms exist to adaptively sample the random variable until a user defined absolute error tolerance is…

Numerical Analysis · Mathematics 2023-11-14 Aleksei G. Sorokin , Jagadeeswaran Rathinavel

Point forecasts can be interpreted as functionals (i.e., point summaries) of predictive distributions. We consider the situation where forecasters' directives are hidden and develop methodology for the identification of the unknown…

Methodology · Statistics 2019-02-19 Patrick Schmidt , Matthias Katzfuß , Tilmann Gneiting

Manufacturing processes are inherently dynamic and uncertain, with varying parameters and nonlinear behaviors, making robust control essential for maintaining quality and reliability. Traditional control methods often fail under these…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Suk Ki Lee , Ronnie F. P. Stone , Max Gao , Wenlong Zhang , Zhenghui Sha , Hyunwoong Ko

Projection predictive inference is a decision theoretic Bayesian approach that decouples model estimation from decision making. Given a reference model previously built including all variables present in the data, projection predictive…

Methodology · Statistics 2020-10-15 Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari

Consider a real-valued function that can only be observed with stochastic noise at a finite set of design points within a Euclidean space. We wish to determine whether there exists a convex function that goes through the true function…

Other Statistics · Statistics 2018-07-30 Nanjing Jian , Shane G. Henderson

Shape restrictions have played a central role in economics as both testable implications of theory and sufficient conditions for obtaining informative counterfactual predictions. In this paper we provide a general procedure for inference…

Statistics Theory · Mathematics 2022-04-29 Victor Chernozhukov , Whitney K. Newey , Andres Santos

We propose a generalized functional linear regression model for a regression situation where the response variable is a scalar and the predictor is a random function. A linear predictor is obtained by forming the scalar product of the…

Statistics Theory · Mathematics 2007-06-13 Hans-Georg Muller , Ulrich Stadtmuller

We propose a constrained generalized method of moments (GMM) estimator with some equilibrium uniqueness conditions for estimating the conduct parameter in a log-linear model with homogeneous goods markets. Monte Carlo simulations…

Econometrics · Economics 2025-11-18 Yuri Matsumura , Suguru Otani

Model Predictive Control evolved as the state of the art paradigm for safety critical control tasks. Control-as-Inference approaches thereof model the constrained optimization problem as a probabilistic inference problem. The constraints…

Optimization and Control · Mathematics 2025-11-21 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

Probability · Mathematics 2020-06-16 Xinjia Chen

We develop a new approach to estimate a production function based on the economic axioms of the Regular Ultra Passum law and convex non-homothetic input isoquants. Central to the development of our estimator is stating the axioms as shape…

Applications · Statistics 2019-06-21 Daisuke Yagi , Yining Chen , Andrew L. Johnson , Hiroshi Morita

In this paper an efficient and reliable method for stochastic yield estimation is presented. Since one main challenge of uncertainty quantification is the computational feasibility, we propose a hybrid approach where most of the Monte Carlo…

Computational Engineering, Finance, and Science · Computer Science 2020-10-12 Mona Fuhrländer , Sebastian Schöps

A general framework with a series of different methods is proposed to improve the estimate of convex function (or functional) values when only noisy observations of the true input are available. Technically, our methods catch the bias…

Methodology · Statistics 2022-09-15 Chao Ma , Lexing Ying

An extension of the Hawkes model where the productivity is variable is considered. In particular, the case is considered where each point may have its own productivity and a simple analytic formula is derived for the maximum likelihood…

Applications · Statistics 2020-03-20 Frederic Paik Schoenberg

Estimating function inference is indispensable for many common point process models where the joint intensities are tractable while the likelihood function is not. In this paper we establish asymptotic normality of estimating function…

Statistics Theory · Mathematics 2019-11-18 Frédéric Lavancier , Arnaud Poinas , Rasmus Waagepetersen

Online learning has gained popularity in recent years due to the urgent need to analyse large-scale streaming data, which can be collected in perpetuity and serially dependent. This motivates us to develop the online generalized method of…

Methodology · Statistics 2025-02-04 Man Fung Leung , Kin Wai Chan , Xiaofeng Shao

This paper develops a penalized GMM (PGMM) framework for automatic debiased inference on functionals of nonparametric instrumental variable estimators. We derive convergence rates for the PGMM estimator and provide conditions for root-n…

Econometrics · Economics 2026-04-06 Edvard Bakhitov

Measurement error is an important problem that has not been very well studied in the context of Functional Data Analysis. To the best of our knowledge, there are no existing methods that address the presence of functional measurement errors…

Statistics Theory · Mathematics 2018-09-19 Sneha Jadhav , Shuangge Ma

We introduce the formalism of generalized Fourier transforms in the context of risk management. We develop a general framework to efficiently compute the most popular risk measures, Value-at-Risk and Expected Shortfall (also known as…

Risk Management · Quantitative Finance 2012-05-08 G. Bormetti , V. Cazzola , G. Livan , G. Montagna , O. Nicrosini