Wavelet threshold based on Stein's unbiased risk estimators of restricted location parameter in multivariate normal

H Karamikabir, M Afshari, F Lak - Journal of Applied Statistics, 2021 - Taylor & Francis
In this paper, the problem of estimating the mean vector under non-negative constraints on
location vector of the multivariate normal distribution is investigated. The value of the …

meta.shrinkage: An R Package for Meta-Analyses for Simultaneously Estimating Individual Means

N Taketomi, H Michimae, YT Chang, T Emura - Algorithms, 2022 - mdpi.com
Meta-analysis is an indispensable tool for synthesizing statistical results obtained from
individual studies. Recently, non-Bayesian estimators for individual means were proposed …

Bayesian estimation for mean vector of multivariate normal distribution on the linear and nonlinear exponential balanced loss based on wavelet decomposition

Z Batvandi - International Journal of Wavelets, Multiresolution and …, 2024 - cir.nii.ac.jp
< jats: p> This paper addresses the problem of Bayesian wavelet estimating the mean vector
of multivariate normal distribution under a multivariate normal prior distribution based on …

Bayesian wavelet Stein's unbiased risk estimation of multivariate normal distribution under reflected normal loss: Bayesian wavelet Stein's unbiased risk estimation

H Karamikabir, N Karamikabir, MA Khajeian… - … and Computing in …, 2023 - Springer
In this paper, we consider the generalized Bayes estimator of mean vector parameter for
multivariate normal distribution with unknown mean vector and covariance matrix under …

Two new Bayesian-wavelet thresholds estimations of elliptical distribution parameters under non-linear exponential balanced loss

Z Batvandi, M Afshari, H Karamikabir - … in Statistics-Simulation and …, 2025 - Taylor & Francis
The estimation of mean vector parameters is very important in elliptical and spherically
models. Among different methods, the Bayesian and shrinkage estimation are interesting. In …

Soft thresholding wavelet shrinkage estimation for mean matrix of matrix-variate normal distribution: low and high dimensional

H Karamikabir, AN Asghari, AA Salimi - Soft Computing, 2023 - Springer
One of the most important issues in matrix-variate normal distribution is the mean matrix
parameter estimation problem. In this paper, we introduce a new soft-threshold wavelet …

Location parameter estimation for elliptical distribution under the balanced-LINEX loss

H Karamikabir, M Mohammadshahi… - Japanese Journal of …, 2024 - Springer
Location parameter estimation is an important problem in the point estimation for
multivariate distribution. In this paper, for an elliptical family of distributions with unknown …

[Retracted] On Some Classes of Estimators Derived from the Positive Part of James–Stein Estimator

A Hamdaoui, A Benkhaled, M Alshahrani… - Journal of …, 2023 - Wiley Online Library
This work consists of developing shrinkage estimation strategies for the multivariate normal
mean when the covariance matrix is diagonal and known. The domination of the positive …

Bayesian shrinkage wavelet estimation of mean matrix of the matrix variate normal distribution with application in de-noising

Z Batvandi, M Afshari, H Karamikabir - Computational and Applied …, 2025 - Springer
Suppose that the random matrix\({\textbf {X}} _ {p\times m}\) has a matrix variate normal
distribution with the mean matrix\(\varvec {\Theta}\) and covariance matrix\({{\varvec …

Low and high dimensional wavelet thresholds for matrix-variate normal distribution

H Karamikabir, A Sanati… - … in Statistics-Simulation and …, 2024 - Taylor & Francis
The matrix-variate normal distribution is a probability distribution that is a generalization of
the multivariate normal distribution to matrix-valued random variables. In this paper, we …