Estimating the probability that a given vector is in the convex hull of a random sample
For a d-dimensional random vector X, let pn,X (θ ) be the probability that the convex hull of n independent copies of X contains a given point θ. We provide several sharp inequalities regarding pn,X (θ ) and NX (θ ) denoting the smallest n for which pn,X (θ ) ≥ 1/2. As a main result, we derive the t...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2023
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