Electron confinement study in a double quantum dot by means of Shannon entropy information

Nascimento, W.S.; Maniero, A.M.; Prudente, F.V.; de Carvalho, C.R.; Jalbert, Ginette

doi:10.1016/j.physb.2024.415692

Physica B: Condensed Matter

2024

DOI: 10.1016/j.physb.2024.415692

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Electron confinement study in a double quantum dot by means of Shannon entropy information

W.S. Nascimento,

A.M. Maniero,

F.V. Prudente

et al.

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Cited by 2 publications

References 41 publications

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Informational analysis of the confinement of an electron in an asymmetric double quantum dot

Nascimento,

Maniero,

Prudente

et al. 2025

Physica B: Condensed Matter

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Informational analysis of the confinement of an electron in an asymmetric double quantum dot

Nascimento,

Maniero,

Prudente

et al. 2025

Physica B: Condensed Matter

View full text Add to dashboard Cite

Unit compound Rayleigh model: Statistical characteristics, estimation and application

Gong,

Luo,

Ren

2024

MATH

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<p>In this paper, we proposed a novel probability distribution model known as the unit compound Rayleigh distribution, which possesses the distinctive characteristic of defining the range within the bounded interval (0, 1). Through an in-depth investigation of this distribution, we analyzed various statistical and structural characteristics including reliability function, risk function, quantile function, moment analysis, order statistics, and entropy measurement. To estimate the unknown parameters of our proposed distribution model, we employed maximum likelihood (ML) estimation and Bayesian estimation. Furthermore, we derived several entropy measures based on ML estimation under the unit compound Rayleigh distribution. To comprehensively evaluate the performance of these entropies, we employed the Monte Carlo simulation method to calculate the average entropy estimate, average entropy bias, corresponding mean square error, and mean relative estimate for assessing the performance of various entropies within the unit compound Rayleigh distribution model. Finally, in order to validate its potential for practical applications, two sets of real data were selected for empirical analysis where fitting and parameter estimation were conducted to demonstrate the advantages of utilizing the unit compound Rayleigh distribution in describing and predicting actual data. This study not only introduces a new probability theory and statistics framework by proposing a novel distribution model but also provides researchers and practitioners in related fields with a powerful analytical tool.</p>

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Electron confinement study in a double quantum dot by means of Shannon entropy information

Cited by 2 publications

References 41 publications

Informational analysis of the confinement of an electron in an asymmetric double quantum dot

Informational analysis of the confinement of an electron in an asymmetric double quantum dot

Unit compound Rayleigh model: Statistical characteristics, estimation and application

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