Some Convergence Theorems for Ranks and Weighted Empirical Cumulatives
Koul, Hira Lal
Ann. Math. Statist., Tome 41 (1970) no. 6, p. 1768-1773 / Harvested from Project Euclid
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In this paper two convergence theorems are proved. One gives a strong law of large numbers for a class of linear rank statistics and the other gives weak convergence of a weighted empirical cumulative process to Gaussian process, concentrated on continuous sample functions. Of course, both of these results are true under some regularity condition on the quantities involved.
Publié le : 1970-10-14
Classification:  
@article{1177696824,
     author = {Koul, Hira Lal},
     title = {Some Convergence Theorems for Ranks and Weighted Empirical Cumulatives},
     journal = {Ann. Math. Statist.},
     volume = {41},
     number = {6},
     year = {1970},
     pages = { 1768-1773},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177696824}
}

Koul, Hira Lal. Some Convergence Theorems for Ranks and Weighted Empirical Cumulatives. Ann. Math. Statist., Tome 41 (1970) no. 6, pp.  1768-1773. http://gdmltest.u-ga.fr/item/1177696824/