On the relationship between one-electron potential and densities of Fisher information and Shannon entropy

2012 ◽  
Vol 392 (1) ◽  
pp. 105-106 ◽  
Author(s):  
Mojtaba Alipour ◽  
Afshan Mohajeri
Keyword(s):  
Fisher Information ◽  
Shannon Entropy ◽  
The Relationship

Shannon entropy and Fisher information-theoretic measures for Mobius square potential

2020 ◽  
Vol 135 (6) ◽  
Author(s):  
A. N. Ikot ◽  
G. J. Rampho ◽  
P. O. Amadi ◽  
M. J. Sithole ◽  
U. S. Okorie ◽  
...  
Keyword(s):  
Fisher Information ◽  
Shannon Entropy ◽  
Information Theoretic ◽  
Information Theoretic Measures

Shannon entropy and Fisher information for screened Kratzer potential

2020 ◽  
Vol 120 (14) ◽  
Author(s):  
Precious O. Amadi ◽  
Akpan N. Ikot ◽  
Alalibo T. Ngiangia ◽  
Uduakobong S. Okorie ◽  
Gaotsiwe J. Rampho ◽  
...  
Keyword(s):  
Fisher Information ◽  
Shannon Entropy

Fisher Information and Shannon Entropy in Confined 1D Harmonic Oscillator

2010 ◽  
Author(s):  
Ljiljana Stevanović ◽  
Angelos Angelopoulos ◽  
Takis Fildisis
Keyword(s):  
Harmonic Oscillator ◽  
Fisher Information ◽  
Shannon Entropy

scholarly journals A permutation information theory tour through different interest rate maturities: the Libor case

2015 ◽  
Vol 373 (2056) ◽  
pp. 20150119 ◽  
Author(s):  
Aurelio Fernández Bariviera ◽  
María Belén Guercio ◽  
Lisana B. Martinez ◽  
Osvaldo A. Rosso
Keyword(s):  
Information Theory ◽  
Interest Rate ◽  
Interest Rates ◽  
Fisher Information ◽  
Shannon Entropy ◽  
Anomalous Behaviour ◽  
Information Measure ◽  
Special Mechanism ◽  
Fisher Information Measure ◽  
Japanese Yen

This paper analyses Libor interest rates for seven different maturities and referred to operations in British pounds, euros, Swiss francs and Japanese yen, during the period 2001–2015. The analysis is performed by means of two quantifiers derived from information theory: the permutation Shannon entropy and the permutation Fisher information measure. An anomalous behaviour in the Libor is detected in all currencies except euros during the years 2006–2012. The stochastic switch is more severe in one, two and three months maturities. Given the special mechanism of Libor setting, we conjecture that the behaviour could have been produced by the manipulation that was uncovered by financial authorities. We argue that our methodology is pertinent as a market overseeing instrument.

Connections of Gini, Fisher, and Shannon by Bayes risk under proportional hazards

2017 ◽  
Vol 54 (4) ◽  
pp. 1027-1050 ◽  
Author(s):  
Majid Asadi ◽  
Nader Ebrahimi ◽  
Ehsan S. Soofi
Keyword(s):  
Fisher Information ◽  
Shannon Entropy ◽  
Equilibrium Distribution ◽  
Proportional Hazards ◽  
Random Variable ◽  
Bayes Risk ◽  
Entropy Functionals ◽  
Renewal Time ◽  
Potential Applications ◽  
The Mean

Abstract The proportional hazards (PH) model and its associated distributions provide suitable media for exploring connections between the Gini coefficient, Fisher information, and Shannon entropy. The connecting threads are Bayes risks of the mean excess of a random variable with the PH distribution and Bayes risks of the Fisher information of the equilibrium distribution of the PH model. Under various priors, these Bayes risks are generalized entropy functionals of the survival functions of the baseline and PH models and the expected asymptotic age of the renewal process with the PH renewal time distribution. Bounds for a Bayes risk of the mean excess and the Gini's coefficient are given. The Shannon entropy integral of the equilibrium distribution of the PH model is represented in derivative forms. Several examples illustrate implementation of the results and provide insights for potential applications.

scholarly journals Variance vs entropy of one-hot vectors

2021 ◽  
Author(s):  
E. Castedo Ellerman
Keyword(s):  
Shannon Entropy ◽  
The Relationship

What is the relationship between the variance and entropy of independent one-hot vectors? This document proves inequalities relating variance, collision entropy and Shannon entropy of sequences of independent one-hot vectors.

scholarly journals Shannon Entropy and Fisher Information for Screened Kratzer Potential

Authorea ◽  
2020 ◽  
Author(s):  
Precious Amadi ◽  
Akpan Ikot ◽  
Alalibo Ngiangia ◽  
Uduakobong Okorie ◽  
Gaotsiwe Joel Rampho ◽  
...  
Keyword(s):  
Fisher Information ◽  
Shannon Entropy
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