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We propose a novel targeted maximum likelihood estimator (TMLE) for quantiles in semiparametric missing data models. Our proposed estimator is locally efficient, $\sqrt{n}$-consistent, asymptotically normal, and doubly robust, under…

Methodology · Statistics 2016-08-23 Iván Díaz

Joint maximum likelihood (JML) estimation is one of the earliest approaches to fitting item response theory (IRT) models. This procedure treats both the item and person parameters as unknown but fixed model parameters and estimates them…

Methodology · Statistics 2019-06-17 Yunxiao Chen , Xiaoou Li , Siliang Zhang

In this paper we first propose a root-n-consistent Conditional Maximum Likelihood (CML) estimator for all the common parameters in the panel logit AR(p) model with strictly exogenous covariates and fixed effects. Our CML estimator (CMLE)…

Econometrics · Economics 2025-09-03 Hugo Kruiniger

We establish a deterministic and stochastic spherical quasi-interpolation framework featuring scaled zonal kernels derived from radial basis functions on the ambient Euclidean space. The method incorporates both quasi-Monte Carlo and Monte…

Numerical Analysis · Mathematics 2025-10-15 Zhengjie Sun , Mengyuan Lv , Xingping Sun

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

This paper considers a class of GMM estimators for general dynamic panel models, allowing for weakly exogenous covariates and cross sectional dependence due to spatial lags, unspecified common shocks and time-varying interactive effects. We…

Statistics Theory · Mathematics 2022-04-28 Guido M. Kuersteiner , Ingmar R. Prucha

Finite mixture models are widely used in econometric analyses to capture unobserved heterogeneity. This paper shows that maximum likelihood estimation of finite mixtures of parametric densities can suffer from substantial finite-sample bias…

Methodology · Statistics 2026-02-04 Raphaël Langevin

Quasi-Monte Carlo algorithms are studied for designing discrete approximations of two-stage linear stochastic programs. Their integrands are piecewise linear, but neither smooth nor lie in the function spaces considered for QMC error…

Optimization and Control · Mathematics 2014-10-31 H. Heitsch , H. Leövey , W. Römisch

Quantum Machine Learning (QML) is an exciting tool that has received significant recent attention due in part to advances in quantum computing hardware. While there is currently no formal guarantee that QML is superior to classical ML for…

High Energy Physics - Phenomenology · Physics 2023-03-22 Sulaiman Alvi , Christian Bauer , Benjamin Nachman

Quantum Machine Learning (QML) has emerged as a promising framework for exploring how quantum dynamics may enhance data processing tasks. Here we investigate Quantum Extreme Learning Machines (QELMs), a quantum analogue of classical Extreme…

Quantum Physics · Physics 2026-04-27 A. De Lorenzis , M. P. Casado , N. Lo Gullo , T. Lux , F. Plastina , A. Riera

Generative moment matching networks (GMMNs) are introduced for generating quasi-random samples from multivariate models with any underlying copula in order to compute estimates under variance reduction. So far, quasi-random sampling for…

Machine Learning · Statistics 2020-04-06 Marius Hofert , Avinash Prasad , Mu Zhu

Quasi-Maximum Likelihood (QML) procedures are theoretically appealing and widely used for statistical inference. While there are extensive references on QML estimation in batch settings, it has attracted little attention in streaming…

Statistical Finance · Quantitative Finance 2021-01-19 Nicklas Werge , Olivier Wintenberger

Maximum Likelihood (ML) estimation requires precise knowledge of the underlying statistical model. In Quasi ML (QML), a presumed model is used as a substitute to the (unknown) true model. In the context of Independent Vector Analysis (IVA),…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Amir Weiss , Sher Ali Cheema , Martin Haardt , Arie Yeredor

Machine learning methods, particularly the double machine learning (DML) estimator (Chernozhukov et al., 2018), are increasingly popular for the estimation of the average treatment effect (ATE). However, datasets often exhibit unbalanced…

Econometrics · Economics 2024-06-12 Daniele Ballinari

Stochastic PDE eigenvalue problems are useful models for quantifying the uncertainty in several applications from the physical sciences and engineering, e.g., structural vibration analysis, the criticality of a nuclear reactor or photonic…

Numerical Analysis · Mathematics 2022-10-07 Alexander D. Gilbert , Robert Scheichl

In linear regression, the least squares (LS) estimator has certain optimality properties if the errors are normally distributed. This assumption is often violated in practice, partly caused by data outliers. Robust estimators can cope with…

Methodology · Statistics 2020-07-01 Sukru Acitas , Peter Filzmoser , Birdal Senoglu

In this paper, we compare maximum likelihood (ML), quasi likelihood (QL) and weighted least squares (WLS) estimators for proportional error nonlinear regression models. Literature on thermoluminescence sedimentary dating revealed another…

Statistics Theory · Mathematics 2019-11-25 Richard A. Lockhart , Chandanie W. Navaratna

We suggest an iterative approach to computing K-step maximum likelihood estimates (MLE) of the parametric components in semiparametric models based on their profile likelihoods. The higher order convergence rate of K-step MLE mainly depends…

Statistics Theory · Mathematics 2007-08-23 Guang Cheng

Highly robust and efficient estimators for the generalized linear model with a dispersion parameter are proposed. The estimators are based on three steps. In the first step the maximum rank correlation estimator is used to consistently…

Methodology · Statistics 2017-03-29 Michael Amiguet , Alfio Marazzi , Marina Valdora , Victor Yohai

We study mixed models with a single grouping factor, where inference about unknown parameters requires optimizing a marginal likelihood defined by an intractable integral. Low-dimensional numerical integration techniques are regularly used…

Methodology · Statistics 2025-01-22 Alex Stringer , Blair Bilodeau , Yanbo Tang