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This paper derives the nonparametric maximum likelihood estimator (NPMLE) of a distribution function from observations which are subject to both bias and censoring. The NPMLE is obtained by a simple EM algorithm which is an extension of the…

Statistics Theory · Mathematics 2007-08-22 Micha Mandel

The parameter fit from a model grid is limited by our capability to reduce the number of models, taking into account the number of parameters and the non linear variation of the models with the parameters. The Local MultiLinear Regression…

Astrophysics · Physics 2009-11-13 A. Bijaoui , A. Recio-Blanco , P. de Laverny

This paper tackles the challenge of parameter calibration in stochastic models, particularly in scenarios where the likelihood function is unavailable in an analytical form. We introduce a gradient-based simulated parameter estimation…

Machine Learning · Statistics 2025-03-25 Zehao Li , Yijie Peng

The original formulation of BEAMS - Bayesian Estimation Applied to Multiple Species - showed how to use a dataset contaminated by points of multiple underlying types to perform unbiased parameter estimation. An example is cosmological…

Instrumentation and Methods for Astrophysics · Physics 2016-03-02 James Newling , Bruce. A. Bassett , Renée Hlozek , Martin Kunz , Mathew Smith , Melvin Varughese

For many nonlinear Bayesian state estimation problems, the posterior recursion is not analytically tractable, leading to algorithms that are influenced by numerical approximation errors. These algorithms depend on parameters that affect the…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Ondrej Straka , Felipe Giraldo-Grueso , Renato Zanetti

Empirical Bayes estimators are based on minimizing the average risk with the hyper-parameters in the weighting function being estimated from observed data. The performance of an empirical Bayes estimator is typically evaluated by its mean…

Statistics Theory · Mathematics 2025-03-18 Yue Ju , Bo Wahlberg , Håkan Hjalmarsson

We consider the problem of estimating the unconditional distribution of a post-model-selection estimator. The notion of a post-model-selection estimator here refers to the combined procedure resulting from first selecting a model (e.g., by…

Statistics Theory · Mathematics 2007-11-08 Hannes Leeb , Benedikt M. Poetscher

Some of the issues that make sampling parameter spaces of various beyond the Standard Model (BSM) scenarios computationally expensive are the high dimensionality of the input parameter space, complex likelihoods, and stringent experimental…

High Energy Physics - Phenomenology · Physics 2026-02-16 Atrideb Chatterjee , Arghya Choudhury , Sourav Mitra , Arpita Mondal , Subhadeep Mondal

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

Recently there has been a great deal of interest surrounding the calibration of quantum sensors using machine learning techniques. In this work, we explore the use of regression to infer a machine-learned point estimate of an unknown…

Quantum Physics · Physics 2024-06-19 Samuel P. Nolan , Luca Pezzè , Augusto Smerzi

We evaluated the implications of different approaches to characterize uncertainty of calibrated parameters of stochastic decision models (DMs) in the quantified value of such uncertainty in decision making. We used a microsimulation DM of…

We consider the classical problem of missing-mass estimation, which deals with estimating the total probability of unseen elements in a sample. The missing-mass estimation problem has various applications in machine learning, statistics,…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Shir Cohen , Tirza Routtenberg , Lang Tong

The problem of estimating the parameters of a moving target in multiple-input multiple-output (MIMO) radar is considered and a new approach for estimating the moving target parameters by making use of the phase information associated with…

Information Theory · Computer Science 2015-06-04 Aboulnasr Hassanien , Sergiy A. Vorobyov , Alex B. Gershman

Using observation data to estimate unknown parameters in computational models is broadly important. This task is often challenging because solutions are non-unique due to the complexity of the model and limited observation data. However,…

Methodology · Statistics 2018-12-18 Jiacheng Wu , Jian-Xun Wang , Shawn C. Shadden

We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional "interfering" subspace <B> and the goal is to estimate…

Applications · Statistics 2017-04-17 Guillaume Bouleux , Rémy Boyer

The explorations of models beyond the Standard Model (BSM) naturally involve scans over the unknown BSM parameters. On the other hand, high precision predictions require calculations at the loop-level and thus a renormalization of (some of)…

High Energy Physics - Phenomenology · Physics 2024-07-01 S. Heinemeyer , F. von der Pahlen

Recently, a framework for application-oriented optimal experiment design has been introduced. In this context, the distance of the estimated system from the true one is measured in terms of a particular end-performance metric. This…

Information Theory · Computer Science 2015-07-28 Dimitrios Katselis , Cristian R. Rojas , Carolyn L. Beck

Propensity score matching (PSM) is a pseudo-experimental method that uses statistical techniques to construct an artificial control group by matching each treated unit with one or more untreated units of similar characteristics. To date,…

Statistics Theory · Mathematics 2022-05-27 Yukun Liu , Jing Qin

In nonlinear deterministic parameter estimation, the maximum likelihood estimator (MLE) is unable to attain the Cramer-Rao lower bound at low and medium signal-to-noise ratios (SNR) due the threshold and ambiguity phenomena. In order to…

Applications · Statistics 2015-06-19 Achraf Mallat , Sinan Gezici , Davide Dardari , Christophe Craeye , Luc Vandendorpe

The mean square error (MSE)-optimal estimator is known to be the conditional mean estimator (CME). This paper introduces a parametric channel estimation technique based on Bayesian estimation. This technique uses the estimated channel…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Franz Weißer , Wolfgang Utschick