On a the Test for Homogeneity and Extreme Values
Darling, D. A.
Ann. Math. Statist., Tome 23 (1952) no. 4, p. 450-456 / Harvested from Project Euclid
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Let $x_1, x_2, \cdots, x_n$ be positive, identically distributed, independent random variables. It is of some statistical interest to study the distribution of $z_n = (x_1 + x_2 + \cdots + x_n)/\max (x_1, x_2, \cdots, x_n)$. In this paper we give its characteristic function and in a few cases its distribution. A limiting distribution of fairly wide applicability is given in the last section.
Publié le : 1952-09-14
Classification:  
@article{1177729390,
     author = {Darling, D. A.},
     title = {On a the Test for Homogeneity and Extreme Values},
     journal = {Ann. Math. Statist.},
     volume = {23},
     number = {4},
     year = {1952},
     pages = { 450-456},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177729390}
}

Darling, D. A. On a the Test for Homogeneity and Extreme Values. Ann. Math. Statist., Tome 23 (1952) no. 4, pp.  450-456. http://gdmltest.u-ga.fr/item/1177729390/