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245 Results Found

  • Article
  • Open Access
3 Citations
3,790 Views
28 Pages

In this paper, we investigate the performance of a variety of frequentist estimation techniques for the scale and shape parameters of the Lomax distribution. These methods include traditional methods such as the maximum likelihood estimator and the m...

  • Article
  • Open Access
194 Views
26 Pages

26 February 2026

Line transect sampling is widely used for estimating population abundance, but existing nonparametric estimators of detection density at the transect line often suffer from boundary bias and tuning sensitivity. In this paper, we propose two simple tu...

  • Article
  • Open Access
8 Citations
2,637 Views
23 Pages

13 February 2022

The need for oil spill monitoring systems has long been of concern in an attempt to contain damage with a rapid response time. When it comes to oil thickness estimation, few reliable methods capable of accurately measuring the thickness of thick oil...

  • Article
  • Open Access
1 Citations
548 Views
26 Pages

30 October 2025

In this paper, the ranked set sampling method (RSS) is considered for estimating the inverse power Lindley distribution (IPLD) parameters and compared with the commonly simple random sampling. Different estimation methods are investigated including t...

  • Article
  • Open Access
5 Citations
3,144 Views
20 Pages

4 February 2021

The distance constrained maximum likelihood procedure (DCML) optimally combines a robust estimator with the maximum likelihood estimator with the purpose of improving its small sample efficiency while preserving a good robustness level. It has been p...

  • Article
  • Open Access
1 Citations
2,489 Views
26 Pages

A New Instrumental-Type Estimator for Quantile Regression Models

  • Li Tao,
  • Lingnan Tai,
  • Manling Qian and
  • Maozai Tian

4 August 2023

This paper proposes a new instrumental-type estimator of quantile regression models for panel data with fixed effects. The estimator is built upon the minimum distance, which is defined as the weighted average of the conventional individual instrumen...

  • Article
  • Open Access
22 Citations
7,373 Views
14 Pages

9 December 2013

In this paper, we have proposed a general approach to obtain a projection of the nearest targets and minimum distance for a given unit. The method takes undesirable output into account. The idea behind it is that nearest targets and minimum distance...

  • Article
  • Open Access
5 Citations
3,288 Views
14 Pages

11 November 2022

The cryptocurrency market is understood as being more volatile than traditional asset classes. Therefore, modeling the volatility of cryptocurrencies is important for making investment decisions. However, large swings in the market might be normal fo...

  • Feature Paper
  • Article
  • Open Access

Outlier Curve Detection in Functional Data Using Robust FPCA

  • Wilson Pérez-Rocano,
  • Antonio Gabriel López-Herrera and
  • Manuel Escabias
Mathematics2026, 14(6), 988;https://doi.org/10.3390/math14060988 
(registering DOI)

14 March 2026

We propose a robust method for outlier detection in functional data analysis. This approach uses the robust Minimum Covariance Determinant estimator to compute the Mahalanobis distance applied to functional principal component scores. The main contri...

  • Article
  • Open Access
1 Citations
3,873 Views
20 Pages

11 December 2018

In frequentist inference, minimizing the Hellinger distance between a kernel density estimate and a parametric family produces estimators that are both robust to outliers and statistically efficient when the parametric family contains the data-genera...

  • Article
  • Open Access
35 Citations
8,194 Views
34 Pages

14 March 2013

Radiative transfer models predicting the bidirectional reflectance factor (BRF) of leaf canopies are powerful tools that relate biophysical parameters such as leaf area index (LAI), fractional vegetation cover fV and the fraction of photosyntheticall...

  • Article
  • Open Access
4 Citations
4,838 Views
14 Pages

25 December 2019

Clustering is widely used as an unsupervised learning algorithm. However, it is often necessary to manually enter the number of clusters, and the number of clusters has a great impact on the clustering effect. At present, researchers propose some alg...

  • Article
  • Open Access
5 Citations
3,771 Views
11 Pages

Robust Multiple Regression

  • David W. Scott and
  • Zhipeng Wang

9 January 2021

As modern data analysis pushes the boundaries of classical statistics, it is timely to reexamine alternate approaches to dealing with outliers in multiple regression. As sample sizes and the number of predictors increase, interactive methodology beco...

  • Article
  • Open Access
516 Views
38 Pages

On Stacy’s Generalized Gamma Competing Risks Model: Estimation Procedure with Applications to Blood Cancer Data

  • Farouq Mohammad A. Alam,
  • Abdulkader Monier Daghistani and
  • Dulayel Almufarrej

28 November 2025

Competing risks modeling plays a pivotal role in both reliability analysis for scientific and engineering fields and survival analysis within medical research. In real-world scenarios, failure or death (from a biological perspective) often arises fro...

  • Article
  • Open Access
1 Citations
2,336 Views
8 Pages

23 April 2019

We introduce new equivalence tests for approximate independence in two-way contingency tables. The critical values are calculated asymptotically. The finite sample performance of the tests is improved by means of the bootstrap. An estimator of bounda...

  • Article
  • Open Access
189 Views
36 Pages

On Minimum Bregman Divergence Inference

  • Soumik Purkayastha and
  • Ayanendranath Basu

13 February 2026

The density power divergence (DPD) is a well-studied member of the Bregman divergence family and forms the basis of widely used minimum divergence estimators that balance efficiency and robustness. In this paper, we introduce and study a new sub-clas...

  • Article
  • Open Access
1 Citations
2,621 Views
20 Pages

24 March 2021

Hellinger distance has been widely used to derive objective functions that are alternatives to maximum likelihood methods. While the asymptotic distributions of these estimators have been well investigated, the probabilities of rare events induced by...

  • Article
  • Open Access
4 Citations
930 Views
26 Pages

17 May 2025

This paper investigates various estimation methods for the parameters of the unit Lindley distribution (U-LD) under both ranked set sampling (RSS) and simple random sampling (SRS) designs. The distribution parameters are estimated using the maximum l...

  • Article
  • Open Access
10 Citations
5,063 Views
15 Pages

Judgments of Object Size and Distance across Different Virtual Reality Environments: A Preliminary Study

  • Hannah Park,
  • Nafiseh Faghihi,
  • Manish Dixit,
  • Jyotsna Vaid and
  • Ann McNamara

4 December 2021

Emerging technologies offer the potential to expand the domain of the future workforce to extreme environments, such as outer space and alien terrains. To understand how humans navigate in such environments that lack familiar spatial cues this study...

  • Article
  • Open Access
1 Citations
1,817 Views
36 Pages

30 January 2025

We investigate the performance of estimators of the generalized empirical likelihood and minimum contrast families in the estimation of dynamic stochastic general equilibrium models, with particular attention to the robustness properties under misspe...

  • Article
  • Open Access
26 Citations
5,340 Views
14 Pages

Unique 4-DOF Relative Pose Estimation with Six Distances for UWB/V-SLAM-Based Devices

  • Francisco Molina Martel,
  • Juri Sidorenko,
  • Christoph Bodensteiner,
  • Michael Arens and
  • Urs Hugentobler

9 October 2019

In this work we introduce a relative localization method that estimates the coordinate frame transformation between two devices based on distance measurements. We present a linear algorithm that calculates the relative pose in 2D or 3D with four degr...

  • Article
  • Open Access
6 Citations
2,111 Views
10 Pages

Reliability Analysis of Small-Sample Failure Data for Random Truncation High-Voltage Relay

  • Yingzhi Zhang,
  • Feng Han,
  • Fang Yang,
  • Xiaofeng Wang and
  • Yutong Zhou

6 June 2024

In order to model and evaluate the reliability of long-life high-voltage relays with small-sample fault data characteristics, a reliability analysis method integrating average rank, the minimum mean square distance empirical distribution function, an...

  • Article
  • Open Access
33 Citations
6,521 Views
17 Pages

Evaluation of Infilling Methods for Time Series of Daily Temperature Data: Case Study of Limpopo Province, South Africa

  • Zakhele Phumlani Shabalala,
  • Mokhele Edmond Moeletsi,
  • Mphethe Isaac Tongwane and
  • Sabelo Marvin Mazibuko

3 July 2019

Incomplete climate records pose a major challenge to decision makers that utilize climate data as one of their main inputs. In this study, different climate data infilling methods (arithmetic averaging, inverse distance weighting, UK traditional, nor...

  • Article
  • Open Access
47 Citations
8,705 Views
17 Pages

AutoElbow: An Automatic Elbow Detection Method for Estimating the Number of Clusters in a Dataset

  • Adeiza James Onumanyi,
  • Daisy Nkele Molokomme,
  • Sherrin John Isaac and
  • Adnan M. Abu-Mahfouz

26 July 2022

The elbow technique is a well-known method for estimating the number of clusters required as a starting parameter in the K-means algorithm and certain other unsupervised machine-learning algorithms. However, due to the graphical output nature of the...

  • Article
  • Open Access
4 Citations
3,146 Views
15 Pages

4 May 2023

Platooning has emerged as a promising approach to enhancing the fuel efficiency of vehicles, but determining the inter-vehicular distance that achieves the minimum consumption remains a challenge. In this article, an algorithm is proposed that employ...

  • Article
  • Open Access
2 Citations
2,736 Views
17 Pages

MVDR-LSTM Distance Estimation Model Based on Diagonal Double Rectangular Array

  • Xiong Zhang,
  • Wenbo Wu,
  • Jialu Li,
  • Fan Dong and
  • Shuting Wan

26 May 2023

Deep learning algorithms have the advantages of a powerful time series prediction ability and the real-time processing of massive samples of big data. Herein, a new roller fault distance estimation method is proposed to address the problems of the si...

  • Article
  • Open Access
2 Citations
5,452 Views
18 Pages

8 August 2022

White lions are a colour variant of the African lion Panthera leo melanochaita and disappeared from the wild due to anthropogenic factors until their reintroduction to the Greater Kruger Park Region of South Africa in 2006. Natural home range behavio...

  • Article
  • Open Access
14 Citations
2,974 Views
19 Pages

3 September 2022

Maneuvering extended object tracking is a new research field due to the rapid development of modern sensor technology. Multiple measurements may be resolved from different unknown sources on an object by using a high-resolution radar. In this case, t...

  • Article
  • Open Access
10 Citations
2,723 Views
23 Pages

Identification of Linear Time-Invariant Systems: A Least Squares of Orthogonal Distances Approach

  • Luis Alberto Cantera-Cantera,
  • Rubén Garrido,
  • Luis Luna,
  • Cristóbal Vargas-Jarillo and
  • Erick Asiain

3 March 2023

This work describes the parameter identification of servo systems using the least squares of orthogonal distances method. The parameter identification problem was reconsidered as data fitting to a plane, which in turn corresponds to a nonlinear minim...

  • Article
  • Open Access
23 Citations
9,841 Views
14 Pages

15 December 2022

The purpose of this study is to propose a framework for accurate and efficient vehicle distance estimation from a monocular camera. The proposed framework consists of a transformer-based object detector, a transformer-based depth estimator, and a dis...

  • Article
  • Open Access
10 Citations
2,735 Views
16 Pages

12 August 2021

This study strengthens the external distance variation for the indoor positioning performance. With the received signal strength (RSS) of the unknown node, a localization is performed to positioning its coordinates. The mean square error (MSE) of loc...

  • Article
  • Open Access
11 Citations
5,125 Views
14 Pages

23 February 2020

This research aimed to propose a route optimization method for long-distance commuter bus service to improve the attraction of public transport as a sustainable travel mode. Taking the express bus services (EBS) in Changping Corridor in Beijing as an...

  • Article
  • Open Access
23 Citations
3,487 Views
20 Pages

Improved Indoor Fingerprinting Localization Method Using Clustering Algorithm and Dynamic Compensation

  • Jingxue Bi,
  • Lu Huang,
  • Hongji Cao,
  • Guobiao Yao,
  • Wengang Sang,
  • Jie Zhen and
  • Yuying Liu

Many indoor fingerprinting localization methods are based on signal-domain distances with large localization error and low stability. An improved fingerprinting localization method using a clustering algorithm and dynamic compensation was proposed. I...

  • Article
  • Open Access
7 Citations
3,748 Views
20 Pages

The vehicle routing problem (VRP) attempts to find optimal (minimum length) routes for a set of vehicles visiting a set of locations. Solving a VRP calls for a cost matrix between locations. The size of the matrix grows quadratically with an increasi...

  • Article
  • Open Access
6 Citations
3,316 Views
13 Pages

The impacts that climate change and land-use dynamics have on biodiversity are already visible in the distribution and behaviour of a large number of species. By using a Bayesian framework, including land-use, meteorological, topography and other var...

  • Article
  • Open Access
52 Citations
6,003 Views
17 Pages

Parameters Affecting Noise Emitted by Ships Moving in Port Areas

  • Marco Nastasi,
  • Luca Fredianelli,
  • Marco Bernardini,
  • Luca Teti,
  • Francesco Fidecaro and
  • Gaetano Licitra

21 October 2020

Only recently has noise been considered in the assessment of the sustainability of port infrastructures, after decades of unawareness. INTERREG Maritime projects unveiled problems that have been neglected so far, such as the lack of proper regulation...

  • Article
  • Open Access
15 Citations
5,558 Views
19 Pages

Vision-Based Distance Measurement in Advanced Driving Assistance Systems

  • Meng Ding,
  • Zhenzhen Zhang,
  • Xinyan Jiang and
  • Yunfeng Cao

17 October 2020

As the forward-looking depth information plays a considerable role in advanced driving assistance systems, in this paper, we first propose a method of depth map estimation based on semi-supervised learning, which uses the left and right views of bino...

  • Article
  • Open Access
2,522 Views
13 Pages

1 March 2024

Numerous robust estimators exist as alternatives to the maximum likelihood estimator (MLE) when a completely observed ground-up loss severity sample dataset is available. However, the options for robust alternatives to a MLE become significantly limi...

  • Article
  • Open Access
3 Citations
4,686 Views
15 Pages

Film Thickness Estimation for the Oil Applied to the Inner Surface of Slim Tubes

  • Jozef Svetlík,
  • Ján Buša,
  • Tomáš Brestovič,
  • Jozef Dobránsky and
  • Ján Kráľ

22 September 2017

The article deals with the approximation of the results of experimental measurement of coating of the inner surface of slim pipes with special oil, using a dispersion oil fraction. The reason for such treatment of the inner surface of the tubes is th...

  • Article
  • Open Access
4 Citations
3,836 Views
18 Pages

Approximation Algorithms for Sorting λ-Permutations by λ-Operations

  • Guilherme Henrique Santos Miranda,
  • Alexsandro Oliveira Alexandrino,
  • Carla Negri Lintzmayer and
  • Zanoni Dias

1 June 2021

Understanding how different two organisms are is one question addressed by the comparative genomics field. A well-accepted way to estimate the evolutionary distance between genomes of two organisms is finding the rearrangement distance, which is the...

  • Feature Paper
  • Article
  • Open Access
10 Citations
3,516 Views
15 Pages

Joint Vital Signs and Position Estimation of Multiple Persons Using SIMO Radar

  • Ibrahim Kakouche,
  • Hamza Abadlia,
  • Mohammed Nabil El Korso,
  • Ammar Mesloub,
  • Abdelmadjid Maali and
  • Mohamed Salah Azzaz

16 November 2021

Respiration rate monitoring using ultra-wideband (UWB) radar is preferred because it provides contactless measurement without restricting the person’s privacy. This study considers a novel non-contact-based solution using a single-input multiple-outp...

  • Article
  • Open Access
21 Citations
2,793 Views
26 Pages

Inverse Unit Teissier Distribution: Theory and Practical Examples

  • Najwan Alsadat,
  • Mohammed Elgarhy,
  • Kadir Karakaya,
  • Ahmed M. Gemeay,
  • Christophe Chesneau and
  • M. M. Abd El-Raouf

20 May 2023

In this paper, we emphasize a new one-parameter distribution with support as [1,+). It is constructed from the inverse method applied to an understudied one-parameter unit distribution, the unit Teissier distribution. Some properties are inves...

  • Article
  • Open Access
94 Citations
8,376 Views
22 Pages

Multi-Sensor Optimal Data Fusion Based on the Adaptive Fading Unscented Kalman Filter

  • Bingbing Gao,
  • Gaoge Hu,
  • Shesheng Gao,
  • Yongmin Zhong and
  • Chengfan Gu

6 February 2018

This paper presents a new optimal data fusion methodology based on the adaptive fading unscented Kalman filter for multi-sensor nonlinear stochastic systems. This methodology has a two-level fusion structure: at the bottom level, an adaptive fading u...

  • Article
  • Open Access
5 Citations
3,002 Views
16 Pages

Trajectory Analysis and Optimization of Hesperides Mission

  • Giovanni Mengali and
  • Alessandro A. Quarta

A challenging problem from a technological viewpoint is to send a spacecraft at a distance of about 600 au from the Sun, comparable with that of the Sun’s gravitational focus (that is, the general relativistic focusing of light rays, whose mini...

  • Article
  • Open Access
3 Citations
1,767 Views
25 Pages

18 October 2024

Accurate and reliable state of health (SOH) estimation is extremely crucial for the safe and stable operation of lithium-ion batteries (LIBs). In this paper, a method based on Lévy roulette- and fitness-distance balance-enhanced coyote optimiz...

  • Article
  • Open Access
3,849 Views
19 Pages

Equivalent Spatial Plane-Based Relative Pose Estimation of UAVs

  • Hangyu Wang,
  • Shuangyi Gong,
  • Chaobo Chen and
  • Jichao Li

8 August 2024

The accuracy of relative pose estimation is an important foundation for ensuring the safety and stability of autonomous aerial refueling (AAR) of unmanned aerial vehicles (UAV), and in response to this problem, a relative pose estimation method of UA...

  • Article
  • Open Access
3 Citations
2,487 Views
18 Pages

23 December 2022

In addition to various estimation algorithms, the target localization accuracy in wireless sensor networks (WSNs) can also be improved from the perspective of geometry optimization. Note that existing placement strategies are mainly aimed at unconstr...

  • Article
  • Open Access
1 Citations
490 Views
19 Pages

Univariate Linear Normal Models: Optimal Equivariant Estimation

  • Gloria García,
  • Marta Cubedo and
  • Josep M. Oller

14 November 2025

In this paper, we establish the existence and uniqueness of the minimum intrinsic risk equivariant (MIRE) estimator for univariate linear normal models. The estimator is derived under the action of the subgroup of the affine group that preserves the...

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