MB Distribution and its application using maximum entropy approach
DOI:
https://doi.org/10.2298/YJOR140519016BKeywords:
entropy, Shannon entropy, MB Distribution, maximum entropy approachAbstract
Maxwell Boltzmann distribution with maximum entropy approach has been used to study the variation of political temperature and heat in a locality. We have observed that the political temperature rises without generating any political heat when political parties increase their attractiveness by intense publicity, but voters do not shift their loyalties. It has also been shown that political heat is generated and political entropy increases with political temperature remaining constant when parties do not change their attractiveness, but voters shift their loyalties (to more attractive parties).References
Huang, K., Statistical Mechanics, John Wiley & Sons, USA, 1928.
Clausius, R., Ueber eine veränderte Form des zweiten Hauptsatzes der mechanischen Wärmetheorie, in: Abhandlungen Über Die Mechanische Wärmelehre, Friedrich Vieweg und Sohn, Braunschweig, Germany, 1864.
Shannon, C. E., and Weaver, W., The Mathematical Theory of Communication, University of Illinois Press, Urbana, USA, 1949.
Jaynes, E. T., “Information theory and statistical mechanics”, Physical Review, 106 (1957) 620-630.
Kapur, J. N., Maximum Entropy Models in Science and Engineering, Wiley Eastern, New Delhi and John Wiley, New York, 1989.
Forte, B., and Sempi, C., “Maximizing conditional entropy: A derivation of quantal statistics”, Rendi Conta de Mathematics, 9 (1976) 551-556.
Kapur, J.N., “Non-additive measures of entropy and distributions of statistical mechanics”, Ind. Jour. Pure App. Math, 14 (11) (1977) 1372-1384.
Kapur, J.N., and Kesavan, H.K., “The generalized maximum entropy principle (with application)”, Sandford Educational Press, University of Waterloo, Canada.
Kesavan, H.K., and Kapur, J.N., Entropy Optimization Principle & their Application, Academic Press, New York.
Ray, A., and Sanat, K. M., “Derivation of some new distributions in statistical mechanics using maximum entropy approach”, Yugoslav Journal of Operations Research, 24 (1) (2014) 27-34.
Mazumder, S.K., “Maximum entropy and utility in a transportation system”, Yugoslav Journal of Operations Research, 9 (1) (1999) 27-34.
Ximing, W., “Calculation of maximum entropy densities with application to income distribution”, Jоurnal of Econometrics, 115 (2003) 347-354.
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