On the Approximation of a Distribution Function by an Empiric Distribution

Blackman, Jerome

Blackman, Jerome

Ann. Math. Statist., Tome 26 (1955) no. 4, p. 256-267 / Harvested from Project Euclid

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Résumé

Let

$x_1, \cdots, x_n$ be independent chance variables with the common distribution function

$F(x)$ and the empiric distribution function

$F^\ast(x)$ . Let

$a_n$ be the value of

$a$ which minimizes (1) below. In this paper the asymptotic distribution of

$\sqrt{n} a_n$ is obtained, subject to certain restrictions on

$F(x)$ .

Publié le : 1955-06-14
Classification:

@article{1177728542,
     author = {Blackman, Jerome},
     title = {On the Approximation of a Distribution Function by an Empiric Distribution},
     journal = {Ann. Math. Statist.},
     volume = {26},
     number = {4},
     year = {1955},
     pages = { 256-267},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177728542}
}

Blackman, Jerome. On the Approximation of a Distribution Function by an Empiric Distribution. Ann. Math. Statist., Tome 26 (1955) no. 4, pp.  256-267. http://gdmltest.u-ga.fr/item/1177728542/