Estimates of some probabilities in multidimensional convex records
Applicationes Mathematicae, Tome 23 (1996) no. 1, pp. 1-11
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
Marek Kałuszka 1
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author = {Marek Ka{\l}uszka},
title = {Estimates of some probabilities in multidimensional convex records},
journal = {Applicationes Mathematicae},
pages = {1--11},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {1996},
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 PB - mathdoc 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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