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Mathematics, Volume 9, Issue 7

April-1 2021 - 96 articles

Cover Story: Precisely 200 years ago, on 16 May 1821, the outstanding Russian mathematician, Pafnuty Lvovich Chebyshev, was born. Since their discovery, the classical orthogonal Chebyshev–Hermite polynomials have found applications in many fields. Chebyshev (1890) and Edgeworth (1905) conceived the idea of expanding a distribution function, the basis of asymptotic statistics. Random-sized samples have been studied. View this paper.
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Articles (96)

  • Article
  • Open Access
22 Citations
4,044 Views
16 Pages

Artificial Neural Network, Quantile and Semi-Log Regression Modelling of Mass Appraisal in Housing

  • Jose Torres-Pruñonosa,
  • Pablo García-Estévez and
  • Camilo Prado-Román

6 April 2021

We used a large sample of 188,652 properties, which represented 4.88% of the total housing stock in Catalonia from 1994 to 2013, to make a comparison between different real estate valuation methods based on artificial neural networks (ANNs), quantile...

  • Article
  • Open Access
13 Citations
3,298 Views
17 Pages

Automatic Tempered Posterior Distributions for Bayesian Inversion Problems

  • Luca Martino,
  • Fernando Llorente,
  • Ernesto Curbelo,
  • Javier López-Santiago and
  • Joaquín Míguez

6 April 2021

We propose a novel adaptive importance sampling scheme for Bayesian inversion problems where the inference of the variables of interest and the power of the data noise are carried out using distinct (but interacting) methods. More specifically, we co...

  • Article
  • Open Access
3 Citations
2,882 Views
10 Pages

6 April 2021

A class of bivariate infinite series solutions of the elliptic and hyperbolic Kepler equations is described, adding to the handful of 1-D series that have been found throughout the centuries. This result is based on an iterative procedure for the ana...

  • Article
  • Open Access
4 Citations
2,579 Views
24 Pages

A General Framework for Mixed and Incomplete Data Clustering Based on Swarm Intelligence Algorithms

  • Yenny Villuendas-Rey,
  • Eley Barroso-Cubas,
  • Oscar Camacho-Nieto and
  • Cornelio Yáñez-Márquez

6 April 2021

Swarm intelligence has appeared as an active field for solving numerous machine-learning tasks. In this paper, we address the problem of clustering data with missing values, where the patterns are described by mixed (or hybrid) features. We introduce...

  • Article
  • Open Access
11 Citations
2,914 Views
19 Pages

6 April 2021

This paper investigates a supply chain consisting of a single risk-neutral supplier and a single risk-averse retailer with the call option contract and a service requirement, where the retailer’s objective is to maximize the Conditional Value-at-Risk...

  • Article
  • Open Access
38 Citations
12,061 Views
20 Pages

An Exhaustive Power Comparison of Normality Tests

  • Jurgita Arnastauskaitė,
  • Tomas Ruzgas and
  • Mindaugas Bražėnas

6 April 2021

A goodness-of-fit test is a frequently used modern statistics tool. However, it is still unclear what the most reliable approach is to check assumptions about data set normality. A particular data set (especially with a small number of observations)...

  • Article
  • Open Access
3 Citations
3,750 Views
17 Pages

An Application of p-Fibonacci Error-Correcting Codes to Cryptography

  • Emanuele Bellini,
  • Chiara Marcolla and
  • Nadir Murru

6 April 2021

In addition to their usefulness in proving one’s identity electronically, identification protocols based on zero-knowledge proofs allow designing secure cryptographic signature schemes by means of the Fiat–Shamir transform or other similar constructs...

  • Article
  • Open Access
6 Citations
3,415 Views
15 Pages

6 April 2021

Fractional calculus-based differential equations were found by previous studies to be promising tools in simulating local-scale anomalous diffusion for pollutants transport in natural geological media (geomedia), but efficient models are still needed...

  • Article
  • Open Access
5 Citations
3,522 Views
27 Pages

6 April 2021

Healthcare professionals (HCPs) often suffer high levels of depression, stress, anxiety and burnout. Our main study aimswereto estimate the prevalences of poor self-perceived health, life dissatisfaction, chronic disease and unhealthy habits among HC...

  • Article
  • Open Access
7 Citations
2,811 Views
14 Pages

5 April 2021

A tropical ball is a ball defined by the tropical metric over the tropical projective torus. In this paper we show several properties of tropical balls over the tropical projective torus and also over the space of phylogenetic trees with a given set...

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Mathematics - ISSN 2227-7390