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  • Article
  • Open Access
1 Citations
1,150 Views
20 Pages

Optimization of a Time-of-Arrival-Ridge Estimation Iterative Model for Ultra-Wideband Positioning in a Long Linear Area

  • Mengqian Li,
  • Mingduo Li,
  • Jinhua Wang,
  • Aoze Duan and ,
  • Haotian Sun and
  • Qinggang Meng
  • + 1 author+ 0 author

2 April 2025

Ultra-wideband (UWB) technology is widely used for high-precision indoor positioning due to its adaptability to various environments. However, in long linear areas, such as tunnels or corridors, the near-linear deployment of base stations caused by s...

(This article belongs to the Section Navigation and Positioning)
  • Article
  • Open Access
6 Citations
2,186 Views
18 Pages

19 April 2024

In the case of strong non-Gaussian noise in the measurement information of the distribution network, the strong non-Gaussian noise significantly interferes with the filtering accuracy of the state estimation model based on deep learning. To address t...

(This article belongs to the Topic Advanced Operation, Control, and Planning of Intelligent Energy Systems)
  • Article
  • Open Access
2,800 Views
22 Pages

1 December 2022

In ultrahigh dimensional data analysis, to keep computational performance well and good statistical properties still working, nonparametric additive models face increasing challenges. To overcome them, we introduce a methodology of model selection fo...

(This article belongs to the Special Issue Statistical Methods in Data Science and Applications)
  • Article
  • Open Access
192 Views
29 Pages

Inertia Estimation for Power Generation Units Based on Dual Neural Networks and a Polynomial Ridge Regression Fusion Model

  • Julong Chen,
  • Jinfan Xie,
  • Zhen Li,
  • Jianfeng Yang and ,
  • Weihan Gan,
  • Qin Yang,
  • Ling Yang and
  • Sizhe Chen
  • + 3 authors+ 0 author

14 October 2026

In modern power systems, accurate estimation of the inertia of individual generation units is essential for maintaining system stability and identifying weak-inertia areas that require additional inertia support. Conventional neural network ensemble...

(This article belongs to the Special Issue Symmetry in Digitalisation of Distribution Power System)
  • Article
  • Open Access
4 Citations
1,975 Views
19 Pages

25 January 2024

Spatial regression models are widely available across several disciplines, such as functional magnetic resonance imaging analysis, econometrics, and house price analysis. In nature, sparsity occurs when a limited number of factors strongly impact ove...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
33 Citations
6,349 Views
17 Pages

Mitigating Multicollinearity in Regression: A Study on Improved Ridge Estimators

  • Nadeem Akhtar,
  • Muteb Faraj Alharthi and
  • Muhammad Shakir Khan

27 September 2024

Multicollinearity, a critical issue in regression analysis that can severely compromise the stability and accuracy of parameter estimates, arises when two or more variables exhibit correlation with each other. This paper solves this problem by introd...

(This article belongs to the Special Issue Application of Regression Models, Analysis and Bayesian Statistics)
  • Article
  • Open Access
422 Views
27 Pages

5 August 2026

Accurate state-of-health estimation of lithium-ion batteries under high-temperature conditions (40–50 °C) remains challenging because of accelerated electrochemical degradation and strongly nonlinear aging patterns. This paper presents a hy...

(This article belongs to the Section Electronic Materials)
  • Article
  • Open Access
11 Citations
2,769 Views
11 Pages

A High-Dimensional Counterpart for the Ridge Estimator in Multicollinear Situations

  • Mohammad Arashi,
  • Mina Norouzirad,
  • Mahdi Roozbeh and
  • Naushad Mamode Khan

28 November 2021

The ridge regression estimator is a commonly used procedure to deal with multicollinear data. This paper proposes an estimation procedure for high-dimensional multicollinear data that can be alternatively used. This usage gives a continuous estimate,...

(This article belongs to the Special Issue Advances of Functional and High-Dimensional Data Analysis)
  • Article
  • Open Access
779 Views
30 Pages

2 April 2026

Despite its widespread use for mitigating multicollinearity in count data models, Poisson ridge regression (PRR) remains methodologically constrained by the choice of the ridge parameter k. Existing studies predominantly evaluate ridge parameter esti...

(This article belongs to the Special Issue Statistical Models and Their Applications)
  • Article
  • Open Access
1 Citations
1,165 Views
31 Pages

Shrinkage Approaches for Ridge-Type Estimators Under Multicollinearity

  • Marwan Al-Momani,
  • Bahadır Yüzbaşı,
  • Mohammad Saleh Bataineh,
  • Rihab Abdallah and
  • Athifa Moideenkutty

20 November 2025

Multicollinearity is a common issue in regression analyses that occurs when some predictor variables are highly correlated, leading to unstable least squares estimates of model parameters. Various estimation strategies have been proposed to address t...

(This article belongs to the Special Issue Advances in Statistical Methods with Applications)
  • Article
  • Open Access
4 Citations
2,935 Views
19 Pages

24 September 2025

Traditional regression estimators like Ordinary Least Squares (OLS) and classical ridge regression often fail under multicollinearity and outlier contamination respectively. Although recently developed two-parameter ridge regression (TPRR) estimators...

(This article belongs to the Special Issue Advances in Machine Learning, High-Dimensional Inference, Shrinkage Estimation, and Model Validation)
  • Article
  • Open Access
11 Citations
3,133 Views
16 Pages

2 March 2025

This study tackles the common issues of multicollinearity arising in regression models due to high correlations among predictor variables, leading to unreliable coefficient estimates and inflated variances, ultimately affecting the model’s accu...

(This article belongs to the Special Issue Computational Statistics and Its Applications)
  • Article
  • Open Access
12 Citations
2,070 Views
26 Pages

10 July 2025

Predictive regression models often face a common challenge known as multicollinearity. This phenomenon can distort the results, causing models to overfit and produce unreliable coefficient estimates. Ridge regression is a widely used approach that in...

(This article belongs to the Special Issue Applied Mathematics and Mathematical Modeling)
  • Article
  • Open Access
1 Citations
1,447 Views
33 Pages

13 June 2025

Partially linear time series models often suffer from multicollinearity among regressors and autocorrelated errors, both of which can inflate estimation risk. This study introduces a generalized ridge-type kernel (GRTK) framework that combines kernel...

(This article belongs to the Special Issue Statistical Forecasting: Theories, Methods and Applications)
  • Article
  • Open Access
2 Citations
2,908 Views
19 Pages

Improvement in Ridge Coefficient Optimization Criterion for Ridge Estimation-Based Dynamic System Response Curve Method in Flood Forecasting

  • Kexin Liu,
  • Weimin Bao,
  • Yufeng Hu,
  • Yiqun Sun and ,
  • Dongjing Li,
  • Kuang Li and
  • Lili Liang
  • + 2 authors+ 0 author

7 December 2021

The ridge estimation-based dynamic system response curve (DSRC-R) method, which is an improvement of the dynamic system response curve (DSRC) method via the ridge estimation method, has illustrated its good robustness. However, the optimization crite...

(This article belongs to the Special Issue Application of Remote Sensing and GIS in Droughts and Floods Assessment and Monitoring)
  • Article
  • Open Access
8 Citations
3,745 Views
19 Pages

In this paper, we suggest improved estimation strategies based on preliminarily test and shrinkage principles in a seemingly unrelated regression model when explanatory variables are affected by multicollinearity. To that end, we split the vector reg...

(This article belongs to the Special Issue Financial Statistics and Data Analytics)
  • Article
  • Open Access
807 Views
28 Pages

Robust HMM-Based Remaining Useful Life Estimation Using a Ridge-Regularized EM Algorithm

  • Halime Beyza Küçükdağ,
  • Gokhan Kirkil and
  • Mustafa Hekimoğlu

18 February 2026

Estimating the remaining useful life (RUL) of engineering systems is crucial for maintenance planning and the reliability of complex mechanical units. Accurate RUL predictions support timely interventions and help to prevent unexpected failures. This...

(This article belongs to the Section Fault Diagnosis & Sensors)
  • Article
  • Open Access
13 Citations
6,150 Views
18 Pages

Estimation of Ground Surface and Accuracy Assessments of Growth Parameters for a Sweet Potato Community in Ridge Cultivation

  • Poching Teng,
  • Eiichi Ono,
  • Yu Zhang,
  • Mitsuko Aono and ,
  • Yo Shimizu,
  • Fumiki Hosoi and
  • Kenji Omasa
  • + 2 authors+ 0 author

23 June 2019

There are only a few studies that have been made on accuracy assessments of Leaf Area Index (LAI) and biomass estimation using three-dimensional (3D) models generated by structure from motion (SfM) image processing. In this study, sweet potato was gr...

(This article belongs to the Section Remote Sensing in Agriculture and Vegetation)
  • Article
  • Open Access
390 Views
21 Pages

Soil Organic Carbon Estimation Using Dual-Interval Synergistic Selection and Overlap-Constrained Ridge Regression

  • Anan Tao,
  • Yuxi Ma,
  • Chaoxu Yu,
  • Jie Wang and ,
  • Liuye Cao,
  • Wenwen Kong and
  • Fei Liu
  • + 2 authors+ 0 author

Soil organic carbon (SOC) is a key indicator of soil quality, farmland productivity, and the terrestrial carbon cycle. Visible and near-infrared (Vis-NIR) spectroscopy offers a rapid approach for SOC estimation, but wavelength point selection may dis...

(This article belongs to the Topic AI in Optical Spectroscopy Analysis)
  • Article
  • Open Access
8 Citations
3,353 Views
24 Pages

15 October 2021

In a host of business applications, biomedical and epidemiological studies, the problem of multicollinearity among predictor variables is a frequent issue in longitudinal data analysis for linear mixed models (LMM). We consider an efficient estimatio...

(This article belongs to the Special Issue Big Data Analytics and Information Science for Business and Biomedical Applications II)
  • Article
  • Open Access
1 Citations
994 Views
42 Pages

17 June 2026

Multicollinearity reduces the reliability of ordinary least squares by increasing variances and creating unstable estimates. This issue has led to biased and penalized regression methods like ridge-, Liu- and Stein-type estimators. Here, we build exi...

(This article belongs to the Special Issue Advances in Machine Learning, High-Dimensional Inference, Shrinkage Estimation, and Model Validation)
  • Article
  • Open Access
21 Citations
4,991 Views
17 Pages

16 December 2020

Predicting the remaining useful life (RUL) of mechanical bearings is a challenging industrial task since RUL can differ even for the same equipment due to many uncertainties such as operating condition, model inaccuracy, and sensory noise in various...

  • Article
  • Open Access
7 Citations
1,872 Views
29 Pages

17 December 2025

In the presence of multicollinearity, the ordinary least squares (OLS) estimators, aside from BLUE (best linear unbiased estimator), lose efficiency and fail to achieve minimum variance. In addition, these estimators are highly sensitive to outliers...

(This article belongs to the Special Issue Advances in Machine Learning, High-Dimensional Inference, Shrinkage Estimation, and Model Validation)
  • Article
  • Open Access
675 Views
17 Pages

9 April 2026

Multicollinearity is a critical issue in regression analysis, often resulting in inflated variances and unstable parameter estimates. Ridge regression is a widely adopted solution to address this challenge; however, existing ridge estimators are typi...

(This article belongs to the Section D: Statistics and Operational Research)
  • Article
  • Open Access
1,899 Views
20 Pages

Evaluation and Improvement of the Method for Selecting the Ridge Parameter in System Differential Response Curves

  • Hao Xiao,
  • Simin Qu,
  • Xumin Zhang,
  • Peng Shi and ,
  • Yang You,
  • Fugang Li,
  • Xiaoqiang Yang and
  • Qihui Chen
  • + 3 authors+ 0 author

5 December 2023

The selection of an appropriate ridge parameter plays a crucial role in ridge estimation. A smaller ridge parameter leads to larger residuals, while a larger ridge parameter reduces the unbiasedness of the estimation. This paper proposes a constraine...

(This article belongs to the Section Hydrology)
  • Article
  • Open Access
36 Citations
4,262 Views
27 Pages

3 November 2022

The Poisson maximum likelihood (PML) is used to estimate the coefficients of the Poisson regression model (PRM). Since the resulting estimators are sensitive to outliers, different studies have provided robust Poisson regression estimators to allevia...

(This article belongs to the Special Issue Computational Statistics & Data Analysis)
  • Article
  • Open Access
21 Citations
4,914 Views
15 Pages

12 September 2020

This paper proposes an α-level estimation algorithm for ridge fuzzy regression modeling, addressing the multicollinearity phenomenon in the fuzzy linear regression setting. By incorporating α-levels in the estimation procedure, we are abl...

(This article belongs to the Special Issue Applications of Fuzzy Optimization and Fuzzy Decision Making)
  • Article
  • Open Access
19 Citations
3,959 Views
18 Pages

State of Health Estimation and Remaining Useful Life Prediction of Lithium-Ion Batteries by Charging Feature Extraction and Ridge Regression

  • Minghu Wu,
  • Chengpeng Yue,
  • Fan Zhang,
  • Rui Sun and ,
  • Jing Tang,
  • Sheng Hu,
  • Nan Zhao and
  • Juan Wang
  • + 3 authors+ 0 author

9 April 2024

The state of health (SOH) and remaining useful life (RUL) of lithium-ion batteries are critical indicators for assessing battery reliability and safety management. However, these two indicators are difficult to measure directly, posing a challenge to...

(This article belongs to the Section Energy Science and Technology)
  • Article
  • Open Access
10 Citations
5,754 Views
13 Pages

20 December 2021

The use of the tapered Gutenberg-Richter distribution in earthquake source models is rapidly increasing, allowing overcoming the definition of a hard threshold for the maximum magnitude. Here, we expand the classical maximum likelihood estimation met...

(This article belongs to the Special Issue Statistics and Pattern Recognition Applied to the Spatio-Temporal Properties of Seismicity)
  • Article
  • Open Access
3 Citations
1,083 Views
15 Pages

31 October 2025

Multicollinearity among predictor variables is a common challenge in modeling chemical and environmental datasets in physical sciences, often leading to collinearity issues and unreliable parameter estimates when fitting regression models. Ridge regr...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
19 Citations
6,997 Views
28 Pages

Handling Multicollinearity and Outliers in Logistic Regression Using the Robust Kibria–Lukman Estimator

  • Adewale F. Lukman,
  • Suleiman Mohammed,
  • Olalekan Olaluwoye and
  • Rasha A. Farghali

30 December 2024

Logistic regression models encounter challenges with correlated predictors and influential outliers. This study integrates robust estimators, including the Bianco–Yohai estimator (BY) and conditionally unbiased bounded influence estimator (CE),...

(This article belongs to the Special Issue Mathematical Tools and Techniques Applicable to Probability Theory and Statistics II)
  • Article
  • Open Access
27 Citations
7,373 Views
14 Pages

K-L Estimator: Dealing with Multicollinearity in the Logistic Regression Model

  • Adewale F. Lukman,
  • B. M. Golam Kibria,
  • Cosmas K. Nziku,
  • Muhammad Amin and ,
  • Emmanuel T. Adewuyi and
  • Rasha Farghali
  • + 1 author+ 0 author

9 January 2023

Multicollinearity negatively affects the efficiency of the maximum likelihood estimator (MLE) in both the linear and generalized linear models. The Kibria and Lukman estimator (KLE) was developed as an alternative to the MLE to handle multicollineari...

(This article belongs to the Special Issue Statistical Theory and Application)
  • Article
  • Open Access
3,249 Views
17 Pages

21 January 2025

This study proposes a method for estimating the spectral images of fluorescence spectral distributions emitted from plant grains and leaves without using a spectrometer. We construct two types of multiband imaging systems with six channels, using ord...

(This article belongs to the Special Issue Color in Image Processing and Computer Vision)
  • Article
  • Open Access
5 Citations
1,640 Views
20 Pages

Modified Kibria–Lukman Estimator for the Conway–Maxwell–Poisson Regression Model: Simulation and Application

  • Nasser A. Alreshidi,
  • Masad A. Alrasheedi,
  • Adewale F. Lukman,
  • Hleil Alrweili and
  • Rasha A. Farghali

27 February 2025

This study presents a novel estimator that combines the Kibria–Lukman and ridge estimators to address the challenges of multicollinearity in Conway–Maxwell–Poisson (COMP) regression models. The Conventional COMP Maximum Likelihood E...

(This article belongs to the Special Issue Application of Regression Models, Analysis and Bayesian Statistics)
  • Article
  • Open Access
15 Citations
7,896 Views
21 Pages

Analysis of Potential Factors Influencing China’s Regional Sustainable Economic Growth

  • Mingxing Li,
  • Hongzheng Sun,
  • Fredrick Oteng Agyeman,
  • Mohammad Heydari and ,
  • Arif Jameel and
  • Hira Salah ud din Khan
  • + 1 author+ 0 author

16 November 2021

The purpose of this article is to screen out the most important factors affecting China’s economic growth. Based on a literature review and relevant financial theoretical knowledge, China’s economic growth factors are selected from international and...

(This article belongs to the Special Issue Manufacturing Sustainability in a Circular Economy)
  • Article
  • Open Access
2 Citations
2,559 Views
12 Pages

On the Estimation of the Binary Response Model

  • Muhammad Amin,
  • Muhammad Nauman Akram,
  • B. M. Golam Kibria,
  • Huda M. Alshanbari and ,
  • Nahid Fatima and
  • Ahmed Elhassanein
  • + 1 author+ 0 author

8 February 2023

The binary logistic regression model (LRM) is practical in situations when the response variable (RV) is dichotomous. The maximum likelihood estimator (MLE) is generally considered to estimate the LRM parameters. However, in the presence of multicoll...

(This article belongs to the Special Issue Computational Statistics & Data Analysis)
  • Article
  • Open Access
151 Views
20 Pages

Tacholess Order Analysis of Gearbox Vibration for Planetary-Gear Fault Diagnosis in Variable-Speed Offshore Wind Turbines

  • Qingyuan Li,
  • Hai Liu,
  • Yongjian Jiang,
  • Peng Qian and ,
  • Dahai Zhang,
  • Xintong Ma,
  • Xiange Tian and
  • Haiyang Xu
  • + 3 authors+ 0 author

27 October 2026

Offshore wind-turbine gearboxes operate under continuously varying speeds, while incipient planetary-gear fault signatures are weak, modulated, and difficult to recover without a tachometer. This study presents a tachometer-free framework that separa...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
4 Citations
2,458 Views
11 Pages

Kibria–Lukman-Type Estimator for Regularization and Variable Selection with Application to Cancer Data

  • Adewale Folaranmi Lukman,
  • Jeza Allohibi,
  • Segun Light Jegede,
  • Emmanuel Taiwo Adewuyi and ,
  • Segun Oke and
  • Abdulmajeed Atiah Alharbi
  • + 1 author+ 0 author

28 November 2023

Following the idea presented with regard to the elastic-net and Liu-LASSO estimators, we proposed a new penalized estimator based on the Kibria–Lukman estimator with L1-norms to perform both regularization and variable selection. We defined the...

  • Article
  • Open Access
3 Citations
2,299 Views
10 Pages

27 June 2022

This paper analyzes the time to event data in the presence of collinearity. To address collinearity, the ridge regression estimator was applied in multiple and logistic regression as an alternative to the maximum likelihood estimator (MLE), among oth...

(This article belongs to the Special Issue Computational Statistics and Data Analysis)
  • Article
  • Open Access
42 Citations
7,796 Views
25 Pages

A Tutorial on Model-Assisted Estimation with Application to Forest Inventory

  • Kelly S. McConville,
  • Gretchen G. Moisen and
  • Tracey S. Frescino

22 February 2020

National forest inventories in many countries combine expensive ground plot data with remotely-sensed information to improve precision in estimators of forest parameters. A simple post-stratified estimator is often the tool of choice because it has k...

(This article belongs to the Special Issue Forest Resources Assessments: Mensuration, Inventory and Planning)
  • Article
  • Open Access
3 Citations
3,605 Views
17 Pages

21 March 2024

In this study, the ill-conditioning of the iterative method for nonlinear models is discussed. Due to the effectiveness of ridge estimation for ill-conditioned problems and the lack of a combination of the H-K formula with the iterative method, the i...

  • Article
  • Open Access
985 Views
15 Pages

20 June 2026

This paper provides a large sample theory for some ridge-type multiple linear regression estimators, including Liu-type regression estimators, when the number of predictors is fixed. Some large sample theory is also given for ridge-type generalized l...

(This article belongs to the Special Issue Advances in Machine Learning, High-Dimensional Inference, Shrinkage Estimation, and Model Validation)
  • Article
  • Open Access
700 Views
18 Pages

We examine whether Walter’s model holds in that firms with greater growth opportunities would pay out less, using operating cash-flow-based payout measures that include only dividends, only repurchases or both. Two groups of explanatory variabl...

  • Article
  • Open Access
4 Citations
3,174 Views
21 Pages

Digital Fringe Projection-Based Clamping Force Estimation Algorithm for Railway Fasteners

  • Zhengji Fan,
  • Yingping Hong,
  • Yunfeng Wang,
  • Yanan Niu and ,
  • Huixin Zhang and
  • Chengqun Chu
  • + 1 author+ 0 author

21 March 2023

The inspection of railway fasteners to assess their clamping force can be used to evaluate the looseness of the fasteners and improve railway safety. Although there are various methods for inspecting railway fasteners, there is still a need for non-c...

(This article belongs to the Collection 3D Imaging and Sensing System)
  • Article
  • Open Access
16 Citations
3,251 Views
19 Pages

Some Modified Ridge Estimators for Handling the Multicollinearity Problem

  • Nusrat Shaheen,
  • Ismail Shah,
  • Amani Almohaimeed,
  • Sajid Ali and
  • Hana N. Alqifari

31 May 2023

Regression analysis is a statistical process that utilizes two or more predictor variables to predict a response variable. When the predictors included in the regression model are strongly correlated with each other, the problem of multicollinearity...

(This article belongs to the Special Issue Advances in Machine Learning and Applications)
  • Article
  • Open Access
7 Citations
3,527 Views
23 Pages

2 March 2021

This study investigates the nonlinear impact of various modes of transportation (air, road, railway, and maritime) on the number of foreign visitors to China originating from major source countries. Our nonlinear tourism demand equations are determin...

(This article belongs to the Special Issue Markov-Chain Modelling and Applications)
  • Article
  • Open Access
6 Citations
6,783 Views
25 Pages

The asymptotic distribution of the linear instrumental variables (IV) estimator with empirically selected ridge regression penalty is characterized. The regularization tuning parameter is selected by splitting the observed data into training and test...

  • Article
  • Open Access
1 Citations
3,672 Views
20 Pages

3 September 2021

The asymptotic distribution is presented for the linear instrumental variables model estimated with a ridge penalty and a prior where the tuning parameter is selected with a holdout sample. The structural parameters and the tuning parameter are estim...

  • Article
  • Open Access
11 Citations
3,735 Views
14 Pages

11 December 2022

Accurate knowledge of the rain amount is a crucial driver in several hydrometeorological applications. This is especially true in complex orography territories, which are typically impervious, thus, leaving most mountain areas ungauged. Due to their...

  • Article
  • Open Access
35 Citations
7,059 Views
32 Pages

On the Applicability of Quantum Machine Learning

  • Sebastian Raubitzek and
  • Kevin Mallinger

28 June 2023

In this article, we investigate the applicability of quantum machine learning for classification tasks using two quantum classifiers from the Qiskit Python environment: the variational quantum circuit and the quantum kernel estimator (QKE). We provid...

(This article belongs to the Special Issue Advances in Quantum Computing)

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