Exact Lower Moments of Order Statistics in Small Samples from a Normal Distribution

Jones, Howard L.

Ann. Math. Statist., Tome 19 (1948) no. 4, p. 270-273 / Harvested from Project Euclid

Résumé

Exact means in samples of size $\geq 3$, and exact second moments and product-moments in samples of size $\leq 4$, are given in Table 1 in terms of $\pi$ for order statistics selected from the normal distribution $N(0, 1)$. The derivation employs multiple integration and some general properties of the moments.

Publié le : 1948-06-14
Classification:

@article{1177730253,
     author = {Jones, Howard L.},
     title = {Exact Lower Moments of Order Statistics in Small Samples from a Normal Distribution},
     journal = {Ann. Math. Statist.},
     volume = {19},
     number = {4},
     year = {1948},
     pages = { 270-273},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177730253}
}

Jones, Howard L. Exact Lower Moments of Order Statistics in Small Samples from a Normal Distribution. Ann. Math. Statist., Tome 19 (1948) no. 4, pp.  270-273. http://gdmltest.u-ga.fr/item/1177730253/