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Mathematics, Volume 12, Issue 23

December-1 2024 - 241 articles

Cover Story: The lognormal moment sequence is considered. Using the fractional moments technique, it is first proved that the lognormal has the largest differential entropy among the infinite positively supported probability densities with the same lognormal-moments. Then, relying on previous theoretical results on entropy convergence obtained by the authors concerning the indeterminate Stieltjes moment problem, the lognormal distribution is accurately reconstructed by the maximum entropy technique using only its integer moment sequence, although it is not uniquely determined by moments. View this paper
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Articles (241)

  • Article
  • Open Access
1 Citations
1,529 Views
20 Pages

9 December 2024

Classic options can no longer meet the diversified needs of investors; thus, it is of great significance to construct and price new options for enriching the financial market. This paper proposes a new option pricing model that integrates the logarit...

  • Article
  • Open Access
5 Citations
3,658 Views
18 Pages

Geophysical Frequency Domain Electromagnetic Field Simulation Using Physics-Informed Neural Network

  • Bochen Wang,
  • Zhenwei Guo,
  • Jianxin Liu,
  • Yanyi Wang and
  • Fansheng Xiong

9 December 2024

Simulating electromagnetic (EM) fields can obtain the EM responses of geoelectric models at different times and spaces, which helps to explain the dynamic process of EM wave propagation underground. EM forward modeling is regarded as the engine of in...

  • Article
  • Open Access
1,248 Views
32 Pages

9 December 2024

As a key task in machine learning, data classification is essential to find a suitable coordinate system to represent the data features of different classes of samples. This paper proposes the mutual-energy inner product optimization method for const...

  • Article
  • Open Access
2 Citations
1,319 Views
13 Pages

Zagreb Root-Indices of Graphs with Chemical Applications

  • Niko Tratnik and
  • Petra Žigert Pleteršek

9 December 2024

Root-indices of graphs are mathematical tools that help us to understand complex systems, like molecules and networks, by capturing key structural information. In this study, we introduce two new root-indices, the first and the second Zagreb root-ind...

  • Article
  • Open Access
1 Citations
1,278 Views
16 Pages

9 December 2024

Efficient estimation methods for simultaneous autoregressive (SAR) models with missing data in the response variable have been well explored in the literature. A common practice is introducing measurement error into SAR models to separate the noise c...

  • Article
  • Open Access
3 Citations
1,128 Views
14 Pages

9 December 2024

Research about multiple positive solutions for fractional differential equations is very important. Based on some outstanding results reported in this field, this paper continue the focus on this topic. By using the properties of the Green function a...

  • Article
  • Open Access
1 Citations
964 Views
12 Pages

9 December 2024

Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic. The purpose of this paper is to investigate commutative ring...

  • Article
  • Open Access
2 Citations
1,345 Views
11 Pages

9 December 2024

Using upper record value data, we provide a credible interval estimate for the scale parameter of a two-parameter exponential distribution based on Bayesian methods. Additionally, we propose two Bayesian credible confidence regions for both parameter...

  • Article
  • Open Access
1 Citations
1,819 Views
25 Pages

9 December 2024

Relative positioning accuracy between two devices is dependent on the precise range measurements. Ultra-wideband (UWB) technology is one of the popular and widely used technologies to achieve centimeter-level accuracy in range measurement. Neverthele...

  • Article
  • Open Access
1,979 Views
19 Pages

9 December 2024

Crime report clustering plays a critical role in modern law enforcement, enabling the identification of patterns and trends essential for proactive policing. However, traditional clustering approaches face significant challenges with the complex, uns...

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Mathematics - ISSN 2227-7390