On the Probability of Large Deviations of Families of Sample Means
Sethuraman, J.
Ann. Math. Statist., Tome 35 (1964) no. 4, p. 1304-1316 / Harvested from Project Euclid
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Results concerning the exponential convergence to zero of the probability of large deviations of the sample mean have already been obtained in the literature for instance, in Cramer [5], Chernoff [4], Bahadur and Rao [1], etc. We establish similar results about the exponential convergence to zero of the probability of large deviations of the sample distribution function, and more generally, of families of sample means.
Publié le : 1964-09-14
Classification:  
@article{1177703286,
     author = {Sethuraman, J.},
     title = {On the Probability of Large Deviations of Families of Sample Means},
     journal = {Ann. Math. Statist.},
     volume = {35},
     number = {4},
     year = {1964},
     pages = { 1304-1316},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177703286}
}

Sethuraman, J. On the Probability of Large Deviations of Families of Sample Means. Ann. Math. Statist., Tome 35 (1964) no. 4, pp.  1304-1316. http://gdmltest.u-ga.fr/item/1177703286/