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Properties of the coefficient estimators for the linear regression model with heteroskedastic error term

open access: yesLietuvos 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
doaj   +3 more sources

On the Least Trimmed Squares Estimator [PDF]

open access: yesAlgorithmica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David M. Mount   +4 more
openaire   +2 more sources

On the least trimmed squares estimators for JS circular regression model

open access: yesKuwait 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

Comparison of Least Squares and Some Bias Estimators in Multicollinearity

open access: yesTurkish Journal of Agriculture: Food Science and Technology, 2020
The aim of this study is to compare the least squares (LS) method that lost its function in the case of multicollinearity in regression methods with Ridge Regression (RR) and Principal Components Regression (PCR) which are bias estimators.
Furkan Yılmaz   +3 more
doaj   +1 more source

Robust Estimations of Survival Function for Weibull Distribution

open access: yesStatistica, 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

open access: yesDiscrete 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

open access: yesCumhuriyet 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   +3 more
doaj   +1 more source

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

open access: yesDiscrete 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

Estimation of parameters of a harmonic chirp model

open access: yesIET Signal Processing, 2021
Here, we address the problem of estimation of the parameters of a harmonic chirp model, often encountered in speech and music applications. This model was introduced recently by Christensen and Jensen [1] as an extension of a standard harmonic model.
Rhythm Grover, Debasis Kundu, Amit Mitra
doaj   +1 more source

Sensitivity analysis in linear models

open access: yesSpecial Matrices, 2016
In this work, we consider the general linear model or its variants with the ordinary least squares, generalised least squares or restricted least squares estimators of the regression coefficients and variance.
Liu Shuangzhe, Ma Tiefeng, Liu Yonghui
doaj   +1 more source

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