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Tail conditional expectations for elliptical distributions. (English) Zbl 1084.62512


MSC:

62H10 Multivariate distribution of statistics
62P05 Applications of statistics to actuarial sciences and financial mathematics
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References:

[1] Anderson T.W., An Introduction to Multivariate Statistical Analysis (1984) · Zbl 0651.62041
[2] Artzner Philippe, Mathematical Finance 9 pp 203– (1999) · Zbl 0980.91042 · doi:10.1111/1467-9965.00068
[3] Bian Guorui, Statistics 29 pp 317– (1997) · Zbl 0897.62027 · doi:10.1080/02331889708802594
[4] Bingham Nick H., Quantitative Finance 2 pp 241– (2002) · doi:10.1088/1469-7688/2/4/201
[5] Cambanis Stamatis, Journal of Multivariate Analysis 11 pp 368– (1981) · Zbl 0469.60019 · doi:10.1016/0047-259X(81)90082-8
[6] Embrechts Paul, Risk Management: Value at Risk and Beyond (2001)
[7] Embrechts Paul, Correlation and Dependence in Risk Management: Properties and Pitfalls (1999)
[8] Fang Kai-Tai, Symmetric multivariate and related distributions (1987)
[9] Feller William, An Introduction to Probability Theory and its Applications (1971) · Zbl 0077.12201
[10] Frees Edward W., North American Actuarial Journal 2 (2) pp 34– (1998) · Zbl 1081.62562 · doi:10.1080/10920277.1998.10595694
[11] Gupta Ajaya K., Elliptically contoured models in statistics (1993) · Zbl 0789.62037 · doi:10.1007/978-94-011-1646-6
[12] Joe Harry, Multivariate Models and Dependence Concepts (1997)
[13] Hult Henrik, Advances in Applied Probability 34 pp 587– (2002) · Zbl 1023.60021 · doi:10.1239/aap/1033662167
[14] Kelker Douglas, Sankhya 32 pp 419– (1970)
[15] Kotz Samuel, Statistical Distributions in Scientific Work (1975)
[16] Kotz Samuel, Continous multivariate distributions (2000) · doi:10.1002/0471722065
[17] Landsman Zinoviy M., Insurance: Mathematics & Economics 30 pp 351– (2002) · Zbl 1033.62104 · doi:10.1016/S0167-6687(02)00119-1
[18] Landsman Zinoviy M., Insurance: Mathematics & Economics 24 pp 291– (1999) · Zbl 1069.62554 · doi:10.1016/S0167-6687(99)00004-9
[19] Macdonald James B., Handbook of Statistics 14 pp 427– (1996) · doi:10.1016/S0169-7161(96)14016-5
[20] Panjer Harry H., Measurement of Risk, Solvency Requirements, and Allocation of Capital within Financial Conglomerates (2002)
[21] Panjer Harry H., Solvency and Capital Allocation (2001)
[22] Schmidt Raphael, Mathematical Methods of Operations Research 55 pp 301– (2002) · Zbl 1015.62052 · doi:10.1007/s001860200191
[23] Wang Shaun S., North American Actuarial Journal 2 (2) pp 88– (1998) · Zbl 1081.62570 · doi:10.1080/10920277.1998.10595708
[24] Wang Shaun S., A Set of New Methods and Tools for Enterprise Risk Capital Management and Portfolio Optimization (2002)
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