Estimates of some probabilities in multidimensional convex records
Applicationes Mathematicae, Tome 23 (1996) no. 1, pp. 1-11
Convex records in Euclidean space are considered. We provide both lower and upper bounds on the probability $p_n(k)$ that in a sequence of random vectors $X_1$,..., $X_n$ there are exactly k records.
DOI :
10.4064/am-23-1-1-11
Keywords:
estimates of probabilities, geometric probability, convex records in Euclidean space
@article{10_4064_am_23_1_1_11,
author = {Marek Ka{\l}uszka},
title = {Estimates of some probabilities in multidimensional convex records},
journal = {Applicationes Mathematicae},
pages = {1--11},
year = {1996},
volume = {23},
number = {1},
doi = {10.4064/am-23-1-1-11},
zbl = {0826.60008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-23-1-1-11/}
}
TY - JOUR AU - Marek Kałuszka TI - Estimates of some probabilities in multidimensional convex records JO - Applicationes Mathematicae PY - 1996 SP - 1 EP - 11 VL - 23 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-23-1-1-11/ DO - 10.4064/am-23-1-1-11 LA - en ID - 10_4064_am_23_1_1_11 ER -
Marek Kałuszka. Estimates of some probabilities in multidimensional convex records. Applicationes Mathematicae, Tome 23 (1996) no. 1, pp. 1-11. doi: 10.4064/am-23-1-1-11
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