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Mean Consistency of Estimators in a Partially Linear Model with AANA Errors [PDF]

Entropy
This paper focuses on a heteroscedastic partially linear regression model in which the errors are asymptotically almost negatively associated (AANA) random variables with a stochastically dominated and zero mean.
Yu Zhang, Zhiqi Chen
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Novel class of population mean estimators based on robust regression methods [PDF]

Scientific Reports
In survey sampling, the accurate estimation of the population mean is often challenged by the presence of outliers in the data. Traditional estimators may become inefficient or biased under such conditions. This study proposes a novel class of estimators
Anoop Kumar, Renu Kumari, Abdullah Mohammed Alomair, Mohammed Ahmed Alomair   +3 more
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Properties of the coefficient estimators for the linear regression model with heteroskedastic error term

Lietuvos Matematikos Rinkinys, 2023
In this paper we present estimated generalized least squares (EGLS) estimator for the coefficient vector β in the linear regression model y = βX + ε, where disturbance term can be heteroskedastic.
Alfredas Račkauskas, Danas Zuokas
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On the Least Trimmed Squares Estimator [PDF]

Algorithmica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David M. Mount, Nathan S. Netanyahu, Christine D. Piatko, Ruth Silverman, Angela Y. Wu   +4 more
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On the least trimmed squares estimators for JS circular regression model

Kuwait Journal of Science, 2021
The least trimmed squares (LT S) estimation has been successfully used in the robust linear regression models. This paper, extends the LT S estimation to the JS circular regression model.
Shokrya Saleh Alshiqaq
doaj   +1 more source

Robust Estimations of Survival Function for Weibull Distribution

Statistica, 2021
The aim of this study is to estimate the robust survival function for the Weibull distribution. Since the survival function of Weibull distribution is based on the parameters, we consider two robust and explicit Weibull parameter estimators proposed by ...
Derya Karagöz, Nihal Ata Tutkun
doaj   +1 more source

Strong Consistency of Estimators in a Partially Linear Model with Asymptotically Almost Negatively Associated Errors

Discrete Dynamics in Nature and Society, 2020
This paper studies a heteroscedastic partially linear regression model in which the errors are asymptotically almost negatively associated (AANA, in short) random variables with not necessarily identical distribution and zero mean.
Yu Zhang, Xinsheng Liu, Mohamed Sief
doaj   +1 more source

Parameters Estimation for the Unit log-log Distribution

Cumhuriyet Science Journal, 2023
In this paper, point estimation problem of two unknown parameters of the unit log-log distribution is examined. For point estimation, six methods of estimate such as maximum likelihood, maximum product spacing, Anderson-Darling, least squares, weighted ...
Yener Ünal, Kadir Karakaya, Yunus Akdoğan, Mustafa Ç. Korkmaz   +3 more
doaj   +1 more source

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α-Stable Noises

Discrete Dynamics in Nature and Society, 2020
Stochastic Lotka–Volterra model driven by small α-stable noises is used to describe population dynamics perturbed by random environment. However, parameters in the model are always unknown.
Chao Wei, Yan Wei, Yingying Zhou
doaj   +1 more source

H/sup ∞/ bounds for least-squares estimators [PDF]

IEEE Transactions on Automatic Control, 2001
We obtain upper and lower bounds for the H∞ norm of the Kalman filter and the recursive-least-squares (RLS) algorithm, with respect to prediction and filtered errors. These bounds can be used to study the robustness properties of such estimators. One main conclusion is that, unlike H∞-optimal estimators which do not allow for any amplification of the ...
Hassibi, Babak, Kaliath, Thomas
openaire   +2 more sources