Limiting Sets and Convex Hulls of Samples from Product Measures
Fisher, Lloyd
Ann. Math. Statist., Tome 40 (1969) no. 6, p. 1824-1832 / Harvested from Project Euclid
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Let $X_1, X_2, \cdots$ be a sequence of independent identically distributed random vectors in $R^n$ (Euclidean $n$-space). Let the $X_i$'s have a distribution which is a product of $n$ Borel probability measures along an orthogonal set of axes. After sampling $m$ times let $H_m$ be the convex hull of $\{X_1, \cdots, X_m\}$. All possible limiting shapes for $H_m$ are found along with necessary and sufficient conditions that the limit be obtained.
Publié le : 1969-10-14
Classification:  
@article{1177697395,
     author = {Fisher, Lloyd},
     title = {Limiting Sets and Convex Hulls of Samples from Product Measures},
     journal = {Ann. Math. Statist.},
     volume = {40},
     number = {6},
     year = {1969},
     pages = { 1824-1832},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177697395}
}

Fisher, Lloyd. Limiting Sets and Convex Hulls of Samples from Product Measures. Ann. Math. Statist., Tome 40 (1969) no. 6, pp.  1824-1832. http://gdmltest.u-ga.fr/item/1177697395/