[1]
|
G. D. Gettinby, C. D. Sinclair, D. M. Power and R. A. Brown, “An Analysis of the Distribution of Extremes Share Returns in the UK from 1975 to 2000,” Journal of Business Finance and Accounting, Vol. 31, No. 5-6, 2004, pp. 607-645. doi:10.1111/j.0306-686X.2004.00551.x
|
[2]
|
P. Kearns and A. Pagan, “Estimating the Density Tail Index for Financial Time Series,” Review of Economic Statistics, Vol. 79, No. 2, 1997, pp. 171-175.
doi:10.1162/003465397556755
|
[3]
|
J. Danielson, P. Hartmann and C. de Vries, “The Cost of Conservatism,” Risk, Vol. 11, No. 1, 1998, pp. 103-107.
|
[4]
|
J. Cotter, “Margin Exceedences for European Stock Index futures Using Extreme Value Theory,” Journal of Banking & Finance, Vol. 25, No. 8, 2001, pp. 1475-1502.
doi:10.1016/S0378-4266(00)00137-0
|
[5]
|
E. Fama, “The Behaviour of Stock Market Price,” Journal of Business, Vol. 38, No. 1, 1965, pp. 34-105.
doi:10.1086/294743
|
[6]
|
J. B. Gray and D. W. French, “Emperical Comparisons of Distributional Models for Stock Index Returns,” Journal of Business, Finance and Accounting, Vol. 17, No. 3, 1990, pp. 451-459.
doi:10.1111/j.1468-5957.1990.tb01197.x
|
[7]
|
R. D. F. Harris and C. C. Kucukozmen, “The Emperical Distribution of UK and US Stock Returns,” Journal of Business Finance and Accounting, Vol. 28, No. 5-6, 2001, pp. 715-740. doi:10.1111/1468-5957.00391
|
[8]
|
B. Mandelbrot, “The Variation of Certain Speculative Prices,” Journal of Business, Vol. 36, No. 4, 1963, pp. 394-419. doi:10.1086/294632
|
[9]
|
J. McDonald and Y. Xu, “A generalization of Beta Distribution with Applications,” Journal of Econometrics, Vol. 66, No. 1-2, 1995, pp. 133-152.
doi:10.1016/0304-4076(94)01612-4
|
[10]
|
A. Peiro, “The Distribution of Stock Returns: Internatinal Evidence,” Applied Financial Economics, Vol. 4, No. 6, 1994, pp. 431-439. doi:10.1080/758518675
|
[11]
|
P. Theodossiou, “Financial Data and the Skewed Generalised-T Distribution,” Management Science, Vol. 44, No. 12, 1998, pp. 1650-1661. doi:10.1287/mnsc.44.12.1650
|
[12]
|
P. Embrechts, C. Kluppelberg and T. Mikosch, “Modeling Extremal Events for Insurance and Finance,” Springer-Verlang, Berling, Heidelberg, 1997.
doi:10.1007/978-3-642-33483-2
|
[13]
|
S. Kotz and S. Nadarajah, “Extreme Value Distributions: Theory and Applications,” Imperial Collage Press, London, 1999.
|
[14]
|
S. I. Resnick, “Extreme Values, Regular Variation, and Point Processes,” Springer-Verlag, New York, 1987.
|
[15]
|
A. A. Balkama and L. de Haan, “Residual Life Time at Great Age,” The Annals of Probability, Vol. 2, No. 5, 1974, pp. 792-804. doi:10.1214/aop/1176996548
|
[16]
|
J. Pickands, “Statistical Inference Using Extreme Order Statistics,” The Annals of Statistics, Vol. 3, No. 1, 1975, pp. 119-131. doi:10.1214/aos/1176343003
|
[17]
|
H. Rootzen and N. Taijvidi, “Multivarate Generalized Pareto Distribution,” Bernoulli, Vol. 12, No. 5, 2006, pp. 917-930. doi:10.3150/bj/1161614952
|
[18]
|
M. R. Leadbetter, G. Lindgren and H. Rootzen, “Extremes and Related Properties of Random Sequences and Processes,” Springer-Verlag, New York, 1983.
|
[19]
|
F. M. Longin, “The Asymptotic Distribution of Extreme Stock Market Returns,” Journal of Business, Vol. 69, No. 3, 1996, pp. 383-408. doi:10.1086/209695
|
[20]
|
F. M. Longin, “From Value at Risk to Stress Testing: The Extreme Value Approach,” Journal of Banking and Finance, Vol. 24, No. 7, 2000, pp. 1097-1130.
doi:10.1016/S0378-4266(99)00077-1
|
[21]
|
F. M. Longin, “Stock Market Crashes: Some Quantitative Results Based on Extreme Value Theory, Derivatives Use,” Trading Regulation, Vol. 7, No. 3, 2001, pp. 197-205.
|
[22]
|
A. I. Maghyereh and H. A. Al-Zoubi, “The Tail Behavior of Extreme Stock Returns in the Gulf Emerging Markets: An Implication for Financial Risk Management,” Studies in Economics and Finance, Vol. 25, No. 1, 2008, pp. 21-37. doi:10.1108/10867370810857540
|
[23]
|
K. Tolikas and R. A. Brown, “The Distribution of Extreme Daily Share Returns in the Athens Stock Exchange,” The European Journal of Finance, Vol. 12, No. 1, 2006, pp. 1-12. doi:10.1080/1351847042000304107
|
[24]
|
K. Tolikas, and G. D. Gettinby, “Modelling the Distribution of the Extreme Share Returns in Singapore,” Journal of Empirical Finance, Vol. 16, No. 2, 2009, pp. 254-263.
doi:10.1016/j.jempfin.2008.06.006
|
[25]
|
K. Tolikas, “Value-at-Risk and Extreme Value Distributions for Financial Returns,” The Journal of Risk, Vol. 10, No. 3, 2008, pp. 31-77.
|
[26]
|
S. I. Resnick, “Tail Equivalence and Its Applications,” Journal of Applied Probability, Vol. 8, 1971, pp. 135-156. doi:10.2307/3211844
|
[27]
|
W. J. Voorn, “Characterization of the Logistic and Loglogistic Distributions by Extreme Value Related Stability with Random Sample Size,” Journal of Applied Probability, Vol. 24, 1987, pp. 838-851. doi:10.2307/3214209
|
[28]
|
N. Balakrishnan, “Handbook of the Logistic Distribution,” Marcel Dekker, New York, 1992.
|
[29]
|
N. L. Johnson, S. Kotz and N. Balakrishnan, “Continuous Univariate Distributions,” John Wiley, New York, 1995.
|
[30]
|
J. R. M. Hosking and J. R. Wallis, “Regional Frequency Analysis: An Approach Based on L-Moments,” Cambridge University Press, Cambridge, 1997.
|
[31]
|
S. Hongjoon, N. Woosung, J. Younghun and H. JunHaeng, “Asymptotic Variance of Regional Curve for Generalized Logistic Distribution,” World Environmental and Water Resources Congress, Great Rivers, 2009.
|
[32]
|
K. Nidhin and C. Chandran, “Limit Theorems of General Functions of Independent and Identically Distributed Random Variables,” Statistics and Probability Letters, Vol. 79, No. 23, 2009, pp. 2397-2404.
doi:10.1016/j.spl.2009.08.013
|
[33]
|
L. B. Klebanov, S. Mitinik, S. T. Rachev and V. E. Volkovic, “A New Representation for the Characteristic Function of Strictly Geo-stable Vectors,” Journal of Applied Probability, Vol. 37, No. 4, 1999, pp. 1137-1142.
|
[34]
|
T. T. Nguyen and A. R. Sampson, “A Note on Characterizations of Multivariate Stable Distributions,” Annals of the Institute of Statistical Mathematics, Vol. 43, No. 4, 1991, pp. 793-801. doi:10.1007/BF00121655
|
[35]
|
J. Galambos, “The Asymptotic Theory of Extreme Order Statistics,” Wiley, New York, 1978.
|
[36]
|
M. A. Stephens, “EDF Statistics for Goodness of Fit and Some Comparisons,” Journal of American Statistical Association, Vol. 69, No. 347, 1974, pp. 730-737.
doi:10.1080/01621459.1974.10480196
|
[37]
|
K. Nidhin and C. Chandran, “An Analysis of the Extremal Behavior of Bombay Stock Exchange Data,” International Journal of Statistics and Analysis, Vol. 1, No. 3, 2011, pp. 239-256.
|
[38]
|
T. J. Kozubowski and S. T. Rachev, “Multivariate Geometric Stable Laws,” Journal of Computational Analysis and Applications, Vol. 1, No. 4, 1999, pp. 349-385.
doi:10.1023/A:1022692806500
|
[39]
|
J. L. Kelley, “General Topology,” Springer, New York, 1955.
|
[40]
|
S. Lipschutz, “General Topology,” Schaum’s Outline Series, New York, 1965. doi:10.1007/978-1-4612-5449-2
|