@article{CM_1984__52_1_57_0,
author = {Stam, A. J.},
title = {Expectation and variance of the volume covered by a large number of independent random sets},
journal = {Compositio Mathematica},
pages = {57--83},
year = {1984},
publisher = {Martinus Nijhoff Publishers},
volume = {52},
number = {1},
mrnumber = {742698},
zbl = {0546.60015},
language = {en},
url = {https://www.numdam.org/item/CM_1984__52_1_57_0/}
}
TY - JOUR AU - Stam, A. J. TI - Expectation and variance of the volume covered by a large number of independent random sets JO - Compositio Mathematica PY - 1984 SP - 57 EP - 83 VL - 52 IS - 1 PB - Martinus Nijhoff Publishers UR - https://www.numdam.org/item/CM_1984__52_1_57_0/ LA - en ID - CM_1984__52_1_57_0 ER -
Stam, A. J. Expectation and variance of the volume covered by a large number of independent random sets. Compositio Mathematica, Tome 52 (1984) no. 1, pp. 57-83. https://www.numdam.org/item/CM_1984__52_1_57_0/
[1] : On regular variation and its application to the weak convergence of sample extremes. Mathematical Centre Tracts 32. Amsterdam: Mathematisch Centrum, 1970. | Zbl | MR
[2] : Differential Geometry of Curves and Surfaces. Englewood Cliffs, New Jersey: Prentice Hall, 1976. | Zbl | MR
[3] : An Introduction to Probability Theory and its Applications, Vol. II, 2nd edn. New York: Wiley, 1971. | Zbl | MR
[4] and : Integral-Tafel, Zweiter Teil: bestimmte Integrale. Wien 1950.
[5] : Altes und Neues über konvexe Körper. Basel und Stuttgart: Birkhäuser Verlag, 1955. | Zbl | MR
[6] : The volume occupied by normally distributed spheres. Acta Math. 133 (1974) 273-286. | Zbl | MR
[7] : Regularly Varying Functions.Lecture Notes in Mathematics 508. Berlin: Springer Verlag, 1976. | Zbl | MR
[8] : The variance of the volume covered by a large number of rectangles with normally distributed centers. Report T. W. 218, Mathematisch Instituut Rijksuniversiteit Groningen.
[9] : The volume covered by a large number of random sets: examples. Report T. W.-245, Mathematisch Instituut Rijksuniversiteit, Groningen.
[10] : Konvexe Mengen. Mannheim: Bibliographisches Institut, 1968. | Zbl | MR





