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Mathematics, Volume 12, Issue 24

December-2 2024 - 168 articles

Cover Story: The authors propose a novel random coefficient autoregressive model, which is distinguished by the non-stationarity of its state equation. They model the autoregressive coefficient as an unknown function of an unobservable state variable, which they actively estimate by using the local linear regression method. They construct iterative algorithms that are based on the ordinary least squares and Kalman smoothing methods to estimate the model's parameters. The authors conduct a comprehensive numerical simulation to demonstrate the performance. Additionally, they validate the practical applicability of their model by applying it to actual time series data from the S&P/HKEX Large Cap Index. This real-world data analysis showcases the model's effectiveness in capturing the dynamics of financial markets. View this paper
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Articles (168)

  • Feature Paper
  • Review
  • Open Access
3 Citations
2,190 Views
23 Pages

Higher-Order Spectral Analysis and Artificial Intelligence for Diagnosing Faults in Electrical Machines: An Overview

  • Miguel Enrique Iglesias Martínez,
  • Jose A. Antonino-Daviu,
  • Larisa Dunai,
  • J. Alberto Conejero and
  • Pedro Fernández de Córdoba

23 December 2024

Fault diagnosis in electrical machines is a cornerstone of operational reliability and cost-effective maintenance strategies. This review provides a comprehensive exploration of the integration of higher-order spectral analysis (HOSA) techniques&mdas...

  • Article
  • Open Access
3 Citations
1,577 Views
20 Pages

Generalized Type-2 Fuzzy Approach for Parameter Adaptation in the Whale Optimization Algorithm

  • Leticia Amador-Angulo,
  • Oscar Castillo,
  • Patricia Melin and
  • Zong Woo Geem

22 December 2024

An enhanced whale optimization algorithm (WOA) through the implementation of a generalized type-2 fuzzy logic system (GT2FLS) is outlined. The initial idea is to improve the efficacy of the original WOA using a GT2FLS to find the optimal values of th...

  • Article
  • Open Access
2,383 Views
26 Pages

A Navigation Algorithm Based on the Reinforcement Learning Reward System and Optimised with Genetic Algorithm

  • Mireya Cabezas-Olivenza,
  • Ekaitz Zulueta,
  • Iker Azurmendi-Marquinez,
  • Unai Fernandez-Gamiz and
  • Danel Rico-Melgosa

22 December 2024

Regarding autonomous vehicle navigation, reinforcement learning is a technique that has demonstrated significant results. Nevertheless, it is a technique with a high number of parameters that need to be optimised without prior information, and correc...

  • Article
  • Open Access
3 Citations
3,290 Views
27 Pages

22 December 2024

Image visibility is often degraded under challenging conditions such as low light, backlighting, and inadequate contrast. To mitigate these issues, techniques like histogram equalization, high dynamic range (HDR) tone mapping and near-infrared (NIR)&...

  • Feature Paper
  • Article
  • Open Access
1,383 Views
12 Pages

22 December 2024

In this paper, we study the (classical) Frobenius problem, namely the problem of finding the largest integer that cannot be represented as a nonnegative integer combination of given, relatively prime, (strictly) positive integers (known as the Froben...

  • Article
  • Open Access
2 Citations
1,436 Views
21 Pages

Analysis of Block Adaptive Type-II Progressive Hybrid Censoring with Weibull Distribution

  • Kundan Singh,
  • Yogesh Mani Tripathi,
  • Liang Wang and
  • Shuo-Jye Wu

22 December 2024

The estimation of unknown model parameters and reliability characteristics is considered under a block adaptive progressive hybrid censoring scheme, where data are observed from a Weibull model. This censoring scheme enhances experimental efficiency...

  • Article
  • Open Access
3 Citations
1,613 Views
17 Pages

Low-Light Image Enhancement Integrating Retinex-Inspired Extended Decomposition with a Plug-and-Play Framework

  • Chenping Zhao,
  • Wenlong Yue,
  • Yingjun Wang,
  • Jianping Wang,
  • Shousheng Luo,
  • Huazhu Chen and
  • Yan Wang

22 December 2024

Images captured under low-light conditions often suffer from serious degradation due to insufficient light, which adversely impacts subsequent computer vision tasks. Retinex-based methods have demonstrated strong potential in low-light image enhancem...

  • Article
  • Open Access
1 Citations
961 Views
7 Pages

22 December 2024

In this paper, we solve three Diophantine equations: 2x±(2kp)y=z2 and −2x+(2k3)y=z2 with k≥0 and prime p≡±3(mod8). We obtain all the non-negative integer solutions by using elementary methods and the database of elliptic...

  • Article
  • Open Access
4 Citations
3,197 Views
27 Pages

22 December 2024

This paper investigates the impact of digital economy development on regional income gaps within provinces in China, focusing on the underlying mechanisms and multidimensional threshold effects. Using provincial panel data from 2011 to 2021, this stu...

  • Article
  • Open Access
1 Citations
1,843 Views
33 Pages

Optimizing Multi-Depot Mixed Fleet Vehicle–Drone Routing Under a Carbon Trading Mechanism

  • Yong Peng,
  • Yanlong Zhang,
  • Dennis Z. Yu,
  • Song Liu,
  • Yali Zhang and
  • Yangyan Shi

22 December 2024

The global pursuit of carbon neutrality requires the reduction of carbon emissions in logistics and distribution. The integration of electric vehicles (EVs) and drones in a collaborative delivery model revolutionizes last-mile delivery by significant...

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Mathematics - ISSN 2227-7390