Rainfall-Runoff Modeling Using Fuzzy Methodology

Noury, Mojtaba; Khatami, H. R.; Moeti, M.T.; Barani, Gholam‐Abbas

doi:10.3923/jas.2008.2851.2858

Cited by 4 publications

(2 citation statements)

References 24 publications

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“…The above density operator agrees with the probability obtained previously [4,8] for the Burg entropy. The density operator, Eq.…”

Section: Boltzmann-gibbs Entropy With the Conventional Expectation Valuesupporting

confidence: 91%

“…It is well-known that the Boltzmann-Gibbs entropy is maximized for the equilibrium state. The Burg entropy [4,[6][7][8][9] is also used in researches, such as the estimation of autocorrelation [6], streamflow [9], etc. It is assumed that the value of an adequate entropy is extremum for an achieved state in various systems, like the Boltzmann-Gibbs entropy for the thermal equilibrium state.…”

Section: Introductionmentioning

confidence: 99%

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Derivation of density operators for generalized entropies with quantum analysis

Ishihara

2020

Physica A: Statistical Mechanics and its Applications

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We gave a simple derivation of density operator with the quantum analysis. We dealt with the functional of a density operator, and applied maximum entropy principle. We obtained easily the density operators for the Tsallis entropy and Rényi entropy with the q-expectation value (escort average), and also obtained easily the density operators for the Boltzmann-Gibbs entropy and the Burg entropy with the conventional expectation value. The quantum analysis works effectively in the calculation of the variation of the functional which includes trace.

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“…The above density operator agrees with the probability obtained previously [4,8] for the Burg entropy. The density operator, Eq.…”

Section: Boltzmann-gibbs Entropy With the Conventional Expectation Valuesupporting

confidence: 91%