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[1] Barbu V.Sfi., Karagrigoriou A., Preda V. (2017), Entropy and divergence rates for Markov chains: I. The Alpha-Gamma and Beta-Gamma case, Proceedings of the Romanian Academy-series A, vol 4- to appearSearch in Google Scholar

[2] Barbu V.Sfi., Karagrigoriou A., Preda V. (2018), Entropy and divergence rates for Markov chains: II. The weighted case, Proceedings of the Ro- manian Academy-series A, vol 1- to appearSearch in Google Scholar

[3] Barbu V.Sfi., Karagrigoriou A., Preda V. (2018), Entropy and divergence rates for Markov chains: III. The Cressie and Read case and applications, Proceedings of the Romanian Academy-series A, vol 2- to appearSearch in Google Scholar

[4] Bălcău C., Constantin D., Panait I. Ioana, Some bounds for the weighted cumulative paired interval entropy, International Journal of Risk Theory, Vol 7 (no.2), 2017Search in Google Scholar

[5] Băncescu I., Comparing the expected system lifetimes of k-out-of-m sys- tems using transmuted-G distributions, Proceedings of the Romanian Academy- to appear (2017).Search in Google Scholar

[6] Belis M., Guiaşu S., 1968. A quantitative-qualitative measure of informa- tion in cybernetic systems. IEEE Transcations on Information Theory 14, 593-59410.1109/TIT.1968.1054185Search in Google Scholar

[7] Berger A. L., Della Pietra V. J., Della Pietra S. A., "A maximum en- tropy approach to natural language processing", Journal Computational Linguistics, Volume 22 Issue 1, 1996, Pages 39-71Search in Google Scholar

[8] Cherubini, U., Luciano, E., Vecchiato, W., 2004. Copula Methods in Fi- nance. John Wiley & Sons, New York10.1002/9781118673331Search in Google Scholar

[9] B. Chu, 2011. Recovering copulas from limited information and an appli- cation to asset allocation. J. Bank. Financ., 35, 1824-1842.10.1016/j.jbankfin.2010.12.011Search in Google Scholar

[10] B. Chu, S. Satchell, 2016, Recovering the Most Entropic Copulas from Preliminary Knowledge of Dependence, Econometrics, 4, 20, doi:10.3390/econometrics4020020Search in Google Scholar

[11] T. Cover, J. Thomas, 1991. Elementary of Information Theory; Wiley: New York, NY, USA.10.1002/0471200611Search in Google Scholar

[12] Chollete L., Heinen A., Valdesogo A., Modelling international financial returns with a multivariate regime-switching copula, J. Financ. Econom., 2009, 7, 437-48010.1093/jjfinec/nbp014Search in Google Scholar

[13] D. Dănciulescu, 2015. Formal Languages Generation in Systems of Knowl- edge Representation based on Stratified Graphs, Informatica, vol. 26, no. 3, pp. 407-417.10.15388/Informatica.2015.55Search in Google Scholar

[14] M.A.H. Dempster, E.A. Medova, S.W. Yang, 2007. Empirical copulas for cdo tranche pricing using relative entropy. Int. J. Theor. Appl. Financ, 10, 679-701.10.1142/S0219024907004391Search in Google Scholar

[15] Embrechts, P., Lindskog, F., McNeil, A.J., 2003. Modelling dependence with copulas and applications to risk management, in: Rachev, S.T. (Ed.), Handbook of Heavy Tailed Distribution in Finance. Elsevier, North- Holland, Amserdam. chapter 8, pp. 329-384.10.1016/B978-044450896-6.50010-8Search in Google Scholar

[16] S. Guiaşu, 1971. Weighted entropy. Reports on Mathematical Physics 2 (3), 165-17910.1016/0034-4877(71)90002-4Open DOISearch in Google Scholar

[17] G. Grigoraş, D. Dănciulescu, A. Bandoi, 2011. Hierarchically identifica- tion. Recent Researches in Tourism and Economic Development 511-513. In Proceedings of the 1st International Conference on Tourism and Eco- nomic Development (TED 2011), Drobeta Turnu Severin, Romania, Oc- tober 2011.Search in Google Scholar

[18] Hao, Z. Singh, V.P., 2013. Modeling multi-site streamow de- pendence with maximum entropy copula. Water Resour. Res., 49, doi:10.1002/wrcr.20523.Search in Google Scholar

[19] Iofie, A.D., Tihomirov, V.M. Theory of Extremal Problems; Lions, J.L., Papanocolalaou, G., Rockafellar, R.T., Eds.; Studies in mathematics and its applications; North Holland Publishing Company: Amsterdam, The Netherlands; New York, NY, USA; Oxford, UK, 1979; Volume 6.Search in Google Scholar

[20] Jaynes, E.T. (1957) "Information theory and statistical mechanics", I. Physical Review 106, 620–63010.1103/PhysRev.106.620Search in Google Scholar

[21] J. Kapur, 1989. Maximum-Entropy Models in Science and Engineering; Wiley: New York, NY, USA.Search in Google Scholar

[22] Kolve, N., dos Anjos, U., Mendes, B., 2006. Copulas: a review and recent developments. Stochastic Models 22, 617-660.10.1080/15326340600878206Search in Google Scholar

[23] Kutoyants, Y.A, 2004. Statistical Inference for Ergodic Diffusion Pro- cesses; Springer series in statistics; Springer-Verlag: London, UK; Berlin, Heidelberg, Germany.10.1007/978-1-4471-3866-2Search in Google Scholar

[24] Mikosch, T., 2006. Copulas: tales and facts. Extremes 9, 3-20.10.1007/s10687-006-0015-xSearch in Google Scholar

[25] R.B. Nelsen, 2006. An Introduction to Copulas; Springer: New York, NY, USA.Search in Google Scholar

[26] Ning C., Xu D., Wirjanto T.S., Is volatility clustering of asset returns asymmetric? J. Bank. Financ. 2015, 52, 62-7610.1016/j.jbankfin.2014.11.016Search in Google Scholar

[27] Preda V., Băncescu I. (2016), A new family of distributions with a gen eral generic distribution for reliability studies. Log-concavity and Appli cation, International Journal of Risk Theory, Alexandru Myller Publish ing Iasi, 1(6), 13-38Search in Google Scholar

[28] V. Preda, S.Dedu, C. Gheorghe, New classes of Lorenz curves by maxi- mizing Tsallis entropy under mean and Gini equality and inequality con- straints, Physica A, 436, 925-932, (2015)10.1016/j.physa.2015.05.092Search in Google Scholar

[29] Vasile Preda, Costel Bălcău, Entropy optimization with applications, Ed- itura Academiei Române, Bucureşti, 2010Search in Google Scholar

[30] V. Preda, C. Bălcău, I.I. Panait, 2017. A weighted cumulative paired interval entropy. Submitted.Search in Google Scholar

[31] Rodriquez J.C., Measuring financial contagion: A copula approach. J. Empir. Financ. 2007, 14, 401-42310.1016/j.jempfin.2006.07.002Open DOISearch in Google Scholar

[32] A. Sklar 1959. Fonctions de repartition a n dimensions et leurs marges, Publ. Inst. Statist. Univ. Paris, 8: 229-231Search in Google Scholar

[33] Soares, Abner D., Newton J. Moura Jr, and Marcelo B. Ribeiro. "Tsallis statistics in the income distribution of Brazil." Chaos, Solitons & Fractals 88 (2016): 158-171.10.1016/j.chaos.2016.02.026Open DOISearch in Google Scholar

[34] Tsallis, C. (1988), Possible generalizations of Boltzmann-Gibbs statistics, Journal of Statistical Physics 52, 479–48710.1007/BF01016429Open DOISearch in Google Scholar

[35] Tsallis, C. (1998), On the fractal dimension of orbits compatible with Tsallis statistics, Physical Review E58, 1442–144510.1103/PhysRevE.58.1442Open DOISearch in Google Scholar

[36] Tsallis, C. (2002), Entropic nonextensivity: A possible measure of com- plexity, Chaos, Solitons and Fractals 12, 371–39110.1016/S0960-0779(01)00019-4Open DOISearch in Google Scholar

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