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Linearly admissible estimators on linear functions of regression coefficient under balanced loss function

Communications in Statistics - Theory and Methods, 2019
Linearly admissible estimators on linear functions of regression coefficient are studied in a singular linear model and balanced loss when the design matrix has not full column rank.
MingXiang Cao, DaoJiang He
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Balanced Ridge Estimator of Coefficient in Linear Model under a Balanced Loss Function (I)

2011
Based on the conception of Zellner’s Balanced Loss, considering the goodness of fitting and the accuracy of Ridge Estimator. the paper constructed the balanced loss function and put forward Balanced Ridge estimation of coefficient in linear model, also obtained the property of Balanced Ridge Estimator superior to Least Squares Estimator and ...
Wenke xu, Fengri Li
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Simultaneous estimation of the multivariate normal mean under balanced loss function

Communications in Statistics - Theory and Methods, 1997
This paper considers simultaneous estimation of multivariate normal mean vector using Zellner's(1994) balanced loss function which is defined as follows: where 0 < w < 1 and for i = 1,…,p and j = 1,…,n, Xij is distributed as normal with mean θi and variance 1. It is shown that the sample mean, X, is admissible when p
Younshik Chung, Chansoo Kim
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A perceptually balanced loss function for short-time spectral amplitude estimation

2003 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (IEEE Cat. No.03TH8684), 2003
Summary form only given. We present a novel approach to audio signal enhancement based on psychoacoustic principles. Specifically, we describe a short-time spectral amplitude estimator whose form comprises a weighted sum of the minimum mean-square error solution and the observed spectral value, where the weighting factor is given by the ratio of the ...
P.J. Wolfe, S.J. Godsill
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Effect of hearing aids on static balance function in elderly with hearing loss

Gait & Posture, 2017
While a few studies have investigated the relationship between hearing acuity and postural control, little is known about the effect of hearing aids on postural stability in elderly with hearing loss. The aim was to compare static balance function between elderly with hearing loss who used hearing aids and those who did not use.
Hossein, Negahban   +2 more
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Bayesian and Non-Bayesian Estimation Using Balanced Loss Functions

1994
Balanced Loss Functions (BLFs) which reflect both goodness of fit and precision of estimation are described. Optimal estimates relative to BLFs are derived for estimation of a scalar mean, a vector mean and a vector of regression coefficients. Properties of these estimates are compared with those of maximum likelihood (ML) estimates and Bayesian ...
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Shrinkage estimation for spherically symmetric distributions under modified balanced loss functions

Summary: We focus on the problem of estimating the average vector \(\theta=(\theta_1,\dots,\theta_d)\) of a random vector \(X\in\mathbb{R}^d\) which follows a spherically symmetric distribution. We consider modified balanced loss functions of the form: \par (i) \(L_{\omega,\delta_0,\rho}(\delta,\theta)=\omega\rho(\|\delta-\delta_0\|^2)+(1-\omega)\rho(\|
Hobbad, Lahoucine   +3 more
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Bayesian and Robust Bayesian analysis under a general class of balanced loss functions

Statistical Papers, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafari Jozani, Mohammad   +2 more
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Least squares estimators in measurement error models under the balanced loss function

Test, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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