Extreme value theory of generalized order statistics

Journal of Statistical Planning and Inference

Volumn 55, Issue 3, 1996, Pages 281-297

  Nasri Roudsari, Dirk ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Domain of attraction; Extreme value theory; Generalized order statistics; Order statistics

Indexed keywords

EID: 0030575755     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(95)00200-6     Document Type: Article

References (12)

1. Abramowitz, M. and I.A. Stegun (1972). Handbook of Mathematical Functions. Dover, New York.
2. David, H.A. (1981). Order Statistics, 2nd ed. Wiley, New York.
3. Dziubdziela W. and B. Kopociński (1976). Limiting properties of the k-th record values. Appl. Math. 15, 187-190.
4. Erdélyi, A., W. Magnus, F. Oberhettinger and F.G. Tricomi (1953a). Higher Transcendental Functions, Vol. I. McGraw-Hill, New York.
5. Erdélyi, A., W. Magnus, F. Oberhettinger, and F.G. Tricomi (1953b). Higher Transcendental Functions, Vol. II. McGraw-Hill, New York.
6. Feller, W. (1971). An Introduction to Probability Theory and its Applications, Vol. II, 2nd ed. Wiley, New York.
7. Galambos, J. (1987). The Asymptotic Theory of Extreme Order Statistics, 2nd ed. Krieger, Malabar.
8. Gnedenko, B.V. (1943). Sur la distribution limite du terme d' une serié aléatoire. Ann. Math. 44, 423-453.
9. Kamps, U. (1995a). A Concept of Generalized Order Statistics. Teubner, Stuttgart.
10. Kamps, U. (1995b). A concept of generalized order statistics. J. Statist. Plann. Inference 48, 1-23.
11. Leadbetter, M.R., G. Lindgren and H. Rootzén, (1983). Extremes and Related Properties of Random Sequences and Processes. Springer, New York.
12. Resnick, S.I. (1973). Limit laws for record values. Stochastic Process. Appl. 1, 67-82.