On a poisson hyperbolic staircase

Probability in the Engineering and Informational Sciences

Volumn 13, Issue 1, 1999, Pages 11-31

  Levikson, Benny ^a   Rolski, Tomasz ^b   Weiss, Gideon ^a  

^a UNIVERSITY OF HAIFA   (Israel)

^b UNIVERSITY OF WROC AW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ENGINEERING; INDUSTRIAL ENGINEERING;

FINITE DIMENSIONAL; POISSON POINTS; POISSON PROCESS; STEP FUNCTIONS;

DROPS;

EID: 0033476563     PISSN: 02699648     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0269964899131024     Document Type: Article

References (12)

1. Abramowitz, M. & Stegun, I.A. (1964). Handbook of mathematical functions, Dover edition, 7th printing 1968. New York: Dover Publications Inc.
2. Aldous, D. & Diaconis, P. (1995). Hammersley's interacting particle process and longest increasing subsequences. Probability Theory and Related Fields 103: 199-213.
3. Barlow, R.E. & Proschan, F. (1975). Statistical theory of reliability and life testing. New York: Holt, Reinhart & Winston.
4. Daley, D.J. & Vere-Jones, D. (1988). An introduction to the theory of point processes. New York: Springer-Verlag.
5. Durrett, R. (1991). Probability; Theory and examples. Pacific Grove: Wadsworth.
6. Dwass, M. (1964). Extremal processes. Annals of Mathematical Statistics 35: 1718-1725.
7. Hammersley, J.M. (1970). A few seedlings of research. Proceedings of the 6th Berkeley Symposium, Vol. I, pp. 345-394.
8. Johnson, N.L. & Kotz, S. (1972). Distribution in statistics: Continuous multivariate distributions. New York: Wiley.
9. Kamke, E. (1971). Differentialgleichungen lösungsmethoden und lösungen, Vol. 1, 3rd ed. New York: Chelsea Publishing Co.
10. Kopociński, B. (1995). The largest square of successes covering the origin for Bernoulli trials on the lattice. Statistica Neerlandica 49: 31-39.
11. Lamperti, J. (1964). On extreme order statistics. Annals of Mathematical Statistics 35: 1726-1737.
12. Resnick, S. (1987). Extreme values, regular variation and point processes. New York: Springer.