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The classical unbiasedness condition utilized e.g. by the best linear unbiased estimator (BLUE) is very stringent. By softening the "global" unbiasedness condition and introducing component-wise conditional unbiasedness conditions instead,…

统计理论 · 数学 2014-12-05 Mario Huemer , Oliver Lang

In this paper, we consider the problem of recovering random graph signals with complex values. For general Bayesian estimation of complex-valued vectors, it is known that the widely-linear minimum mean-squared-error (WLMMSE) estimator can…

信号处理 · 电气工程与系统科学 2024-10-28 Alon Amar , Tirza Routtenberg

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…

统计方法学 · 统计学 2025-07-21 Mirko Armillotta

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…

统计理论 · 数学 2019-11-25 Richard A. Lockhart , Chandanie W. Navaratna

We analyze the mean-squared error (MSE) performance of widely linear (WL) and conventional subspace-based channel estimation for single-input multiple-output (SIMO) flat-fading channels employing binary phase-shift-keying (BPSK) modulation…

信息论 · 计算机科学 2015-05-28 Saeed Abdallah , Ioannis N. Psaromiligkos

In multiple-input multiple-output (MIMO) spatially multiplexing (SM) systems, achievable error rate performance is determined by signal detection strategy. The optimal maximum-likelihood detection (MLD) that exhaustively examines all symbol…

信息论 · 计算机科学 2015-03-17 Makoto Tanahashi , Hideki Ochiai

We propose Subsampling MCMC, a Markov Chain Monte Carlo (MCMC) framework where the likelihood function for $n$ observations is estimated from a random subset of $m$ observations. We introduce a highly efficient unbiased estimator of the…

统计方法学 · 统计学 2018-12-31 Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

Linear minimum mean square error (LMMSE) estimation is often ill-conditioned, suggesting that unconstrained minimization of the mean square error is an inadequate approach to filter design. To address this, we first develop a unifying…

信号处理 · 电气工程与系统科学 2022-03-23 Edwin K. P. Chong

This paper considers the problem of symbol detection in massive multiple-input multiple-output (MIMO) wireless communication systems. We consider hard-thresholding preceeded by two variants of the regularized least squares (RLS) decoder;…

信息论 · 计算机科学 2023-08-11 Ayed M. Alrashdi , Abla Kammoun , Ali H. Muqaibel , Tareq Y. Al-Naffouri

We propose a likelihood ratio statistic for forming hypothesis tests and confidence intervals for a nonparametrically estimated univariate regression function, based on the shape restriction of concavity (alternatively, convexity). Dealing…

统计理论 · 数学 2018-09-11 Charles R. Doss

The Gauss Markov theorem states that the weighted least squares estimator is a linear minimum variance unbiased estimation (MVUE) in linear models. In this paper, we take a first step towards extending this result to non linear settings via…

机器学习 · 计算机科学 2023-11-30 Tzvi Diskin , Yonina C. Eldar , Ami Wiesel

We consider nonparametric maximum-likelihood estimation of a log-concave density in case of interval-censored, right-censored and binned data. We allow for the possibility of a subprobability density with an additional mass at $+\infty$,…

统计方法学 · 统计学 2014-08-15 Lutz Duembgen , Kaspar Rufibach , Dominic Schuhmacher

The main purpose of this paper is to study the performance of two linear channel estimators for LTE Downlink systems, the Least Square Error (LSE) and the Linear Minimum Mean Square Error (LMMSE). As LTE is a MIMO-OFDM based system, a…

网络与互联网体系结构 · 计算机科学 2011-11-08 Abdelhakim Khlifi , Ridha Bouallegue

We consider the problem of recovering random graph signals from nonlinear measurements. For this case, closed-form Bayesian estimators are usually intractable and even numerical evaluation of these estimators may be hard to compute for…

信号处理 · 电气工程与系统科学 2022-06-23 Ariel Kroizer , Tirza Routtenberg , Yonina C. Eldar

The assumption of log-concavity is a flexible and appealing nonparametric shape constraint in distribution modelling. In this work, we study the log-concave maximum likelihood estimator (MLE) of a probability mass function (pmf). We show…

统计方法学 · 统计学 2023-04-17 Fadoua Balabdaoui , Hanna Jankowski , Kaspar Rufibach , Marios Pavlides

We study nonparametric maximum likelihood estimation of a log-concave density function $f_0$ which is known to satisfy further constraints, where either (a) the mode $m$ of $f_0$ is known, or (b) $f_0$ is known to be symmetric about a fixed…

统计理论 · 数学 2019-05-15 Charles R. Doss , Jon A. Wellner

For estimating the large covariance matrix with a limited sample size, we propose the covariance model with general linear structure (CMGL) by employing the general link function to connect the covariance of the continuous response vector…

统计方法学 · 统计学 2022-05-17 Xinyan Fan , Wei Lan , Tao Zou , Chih-Ling Tsai

A Quadratic Maximum Likelihood (QML) estimator is applied to the WMAP 5 year low resolution maps to compute the CMB angular power spectra at large scales for both temperature and polarization. Estimates and error bars for the six angular…

宇宙学与河外天体物理 · 物理学 2010-11-02 A. Gruppuso , A. De Rosa , P. Cabella , F. Paci , F. Finelli , P. Natoli , G. de Gasperis , N. Mandolesi

Due to the insufficient measurements in the distribution system state estimation (DSSE), full observability and redundant measurements are difficult to achieve without using the pseudo measurements. The matrix completion state estimation…

机器学习 · 计算机科学 2019-10-15 Bo Liu , Hongyu Wu , Yingchen Zhang , Rui Yang , Andrey Bernstein

Headline constraints on cosmological parameters from current weak lensing surveys are derived from two-point statistics that are known to be statistically sub-optimal, even in the case of Gaussian fields. We study the performance of a new…

宇宙学与河外天体物理 · 物理学 2023-02-15 Alessandro Maraio , Alex Hall , Andy Taylor
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