Matriz de covarianza bajo la familia hiperbólica generalizada y la construcción de portafolios
Tài liệu tham khảo
Abramowitz M., y Stegun I. A. (1972). Handbook of mathematical functions. 1.a ed., Dover Publications. USA, New York.
Alaitz, 2002, El modelo de Markowitz en la gestión de carteras, Cuadernos de Gestión, 2, 33
Alayón, J. L. (2014). Distribución hiperbólica generalizada: una aplicación en la selección de portafolios y cuantificación de medidas de riesgo de mercado. Series Documentos de Trabajo n.o 166. Facultad de Economía, Universidad del Rosario.
Barndorff-Nielsen, 1977, Exponentially decreasing distributions for the logarithm of the particle size, Proc. R. Soc. A, 353, 401, 10.1098/rspa.1977.0041
Blæsild, P. y Sørensen, M. (1992). ‘hyp’- a computer program for analyzing data by means of the hyperbolic distribution. Research Report 248. Department of Theoretical Statistics, University of Aarhus.
Breymann, W. y Lüthi, D. (2013). GHYP. Recuperado el 2 de agosto de 2014 de: http://cran.r-project.org/web/packages/ghyp/vignettes/Generalized_Hyperbolic_Distribution.pdf
Burda, 2004, Signal and noise in financial correlation matrices, Physica A, Statistical Mechanics and its Applications, 344, 67, 10.1016/j.physa.2004.06.089
Dagpunar, 1989, An easily implemented generalized inverse gaussian generator, Communications in Statistics - Simulation and Computation, 18, 703, 10.1080/03610918908812785
Eberlein, 1995, Hyperbolic distributions in finance, Bernoulli, 1, 281, 10.2307/3318481
Erickson, 2009, The normal inverse gaussian distribution and the pricing of derivatives, The Journal of Derivatives, 16, 23, 10.3905/JOD.2009.16.3.023
Gábor, J.S. y Rizzo, M.L. (2004). Testing for equal distributions in high dimension. Working paper. Bowling Green State University and Ohio University.
Hu, W. (2005). Calibration of multivariate generalized hyperbolic distributions using the EM algoritm, with applications in risk management, portfolio optimization and portfolio credit risk. Electronic Theses, Treatises and Dissertations. Paper 3694. The Florida State University.
Justel, 1997, A multivariate Kolmogorov-Smirnov test of goodness of fit, Statistics & Probability Letters, 35, 251, 10.1016/S0167-7152(97)00020-5
Kinderman, 1977, Computer generation of random variables using the ratio of uniform deviates, ACM Transactions on Mathematical Software, 3, 257, 10.1145/355744.355750
Laloux, 1999, Noise dessing of financial correlation matrices, Phys. Rev. Lett., 83, 1467, 10.1103/PhysRevLett.83.1467
Loudin, J., y Hannu, M. (2003). A multivariate method por comparing n-dimensional distributions. Stanford, California: Phystat 200. SLAC.
Markowitz, 1959
Mata, L. (2013). Estudio de la distribución hiperbólica generalizada: Aspectos teóricos y numéricos. Tesis de Doctorado, Tecnológico de Monterrey, Campus Ciudad de México.
McAssey, 2013, An empirical goodness-of-fit test for multivariate distributions, Journal of Applied Statistics, 40, 1120, 10.1080/02664763.2013.780160
McNeil, 2005
Mina, J. (2011). Construcción de portafolios bajo distribuciones hiperbólicas generalizadas. Tesis de Maestría, Instituto Tecnológico Autonómo de México.(Premio Mercados Financieros 2010).
Paolella, 2007
Prause, K. (1999). The generalized hyperbolic model: Estimation, financial derivatives, and risk measures. Doctoral Dissertation, University of Freiburg.
Protassov, 2004, EM-based maximum likelihood parameter estimation for multivariate generalized hyperbolic distributions with fixed λ, Statistics and Computing, 14, 67, 10.1023/B:STCO.0000009419.12588.da
Wertz, D. y Setz, T. (2014). fportfolio, Recuperado el 2 de febrero de 2014 de: http://cran.r-project.org/web/packages/fPortfolio/fPortfolio.pdf