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We present mathematical and conceptual foundations for the task of robust amplitude estimation using engineered likelihood functions (ELFs), a framework introduced in Wang et al. [PRX Quantum 2, 010346 (2021)] that uses Bayesian inference…

Quantum Physics · Physics 2022-05-24 Dax Enshan Koh , Guoming Wang , Peter D. Johnson , Yudong Cao

We present a statistically and computationally efficient spectral-domain maximum-likelihood procedure to solve for the structure of Gaussian spatial random fields within the Matern covariance hyperclass. For univariate, stationary, and…

This paper deals with the parametric inference for integrated signals embedded in an additive Gaussian noise and observed at deterministic discrete instants which are not necessarily equidistant. The unknown parameter is multidimensional…

Statistics Theory · Mathematics 2019-03-18 Dominique Dehay , Khalil El Waled , Vincent Monsan

We consider the problem of parameter estimation by the observations of deterministic signal in white gaussian noise. It is supposed that the signal has a singularity of cusp-type. The properties of the maximum likelihood and bayesian…

Statistics Theory · Mathematics 2015-09-10 Oleg Chernoyarov , Serguei Dachian , Yury Kutoyants

We consider the problem of inferring constraints on a high-dimensional parameter space with a computationally expensive likelihood function. We propose a machine learning algorithm that maps out the Frequentist confidence limit on parameter…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-25 Scott F. Daniel , Andrew J. Connolly , Jeff Schneider

Maximum approximate Bernstein likelihood estimates of the baseline density function and the regression coefficients in the proportional hazard regression models based on interval-censored event time data are proposed. This results in not…

Methodology · Statistics 2020-12-25 Zhong Guan

This paper studies the threshold estimation of a TAR model when the underlying threshold parameter is a random variable. It is shown that the Bayesian estimator is consistent and its limit distribution is expressed in terms of a limit…

Statistics Theory · Mathematics 2010-03-22 Ngai Hang Chan , Yury A. Kutoyants

We present a robust method, as well as a new metric, for the comparison of permittivity models in terahertz timedomain spectroscopy (THz-TDS). In this work, we perform an extensive noise analysis of a THz-TDS system, we remove and model the…

This paper considers the maximum likelihood estimation of factor models of high dimension, where the number of variables (N) is comparable with or even greater than the number of observations (T). An inferential theory is developed. We…

Statistics Theory · Mathematics 2012-05-31 Jushan Bai , Kunpeng Li

This paper deals with parameter estimation when the data are randomly right censored. The maximum likelihood estimates from censored samples are obtained by using the expectation-maximization (EM) and Monte Carlo EM (MCEM) algorithms. We…

Computation · Statistics 2012-03-20 Chanseok Park , Seong Beom Lee

A parameter estimation method is devised for a slow-fast stochastic dynamical system, where often only the slow component is observable. By using the observations only on the slow component, the system parameters are estimated by working on…

Dynamical Systems · Mathematics 2013-03-20 Jian Ren , Jinqiao Duan

This paper presents a novel sequential estimator for the direction-of-arrival and polynomial coefficients of wideband polynomial-phase signals impinging on a sensor array. Addressing the computational challenges of Maximum-likelihood…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Kaleb Debre , Tai Fei , Marius Pesavento

Inferring the source properties of a gravitational wave signal has traditionally been very computationally intensive and time consuming. In recent years, several techniques have been developed that can significantly reduce the computational…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Neil J. Cornish

Over the last decades, the family of $\alpha$-stale distributions has proven to be useful for modelling in telecommunication systems. Particularly, in the case of radar applications, finding a fast and accurate estimation for the amplitude…

Methodology · Statistics 2023-11-15 Mahdi Teimouri

Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model and time series data. In particular, we examine the…

chao-dyn · Physics 2007-05-23 Justin Goodwin , Reggie Brown , Lutz Junge

The method of extended maximum likelihood is a well known concept of parameter estimation. One can implement external knowledge on the unknown parameters by multiplying the likelihood by constraint terms. In this note, we emphasize that…

Data Analysis, Statistics and Probability · Physics 2012-10-29 Till Moritz Karbach , Maximilian Schlupp

Birnbaum-Saunders models have been widely used to model positively skewed data. In this paper, we introduce a bivariate Birnbaum-Saunders distribution which has the means as parameters. We present some properties of the univariate and…

Methodology · Statistics 2018-05-01 Helton Saulo , Jeremias Leão , Roberto Vila , Victor Leiva , Vera Tomazella

This paper introduces a version of empirical likelihood based on the periodogram and spectral estimating equations. This formulation handles dependent data through a data transformation (i.e., a Fourier transform) and is developed in terms…

Statistics Theory · Mathematics 2011-11-10 Daniel J. Nordman , Soumendra N. Lahiri

In this paper, we expand the theory of depth-unbiased source localization to unbiased parameter estimation and signal reconstruction of an arbitrary number of non-zero parameters to be recovered. The topic touches on the concept of exact…

Information Theory · Computer Science 2026-05-08 Joonas Lahtinen

The article considers parameter estimation constructing such as quasi-maximum likelyhood estimation and one step estimation in statistical models generated by solution of stochastic differential equation. It has been developed a software…

Statistics Theory · Mathematics 2021-03-12 Dmytro Ivanenko , Rostyslav Pogorielov