An Inequality for Balanced Incomplete Block Designs

Mikhail, Wadie F.

Ann. Math. Statist., Tome 31 (1960) no. 4, p. 520-522 / Harvested from Project Euclid

Résumé

The inequality $b \geqq v + r - 1$ for a balanced incomplete block design was proved by Bose [1] under the assumption of resolvability. In this note the inequality is proved without that assumption, but with the weaker assumption that $v = nk$.

Publié le : 1960-06-14
Classification:

@article{1177705921,
     author = {Mikhail, Wadie F.},
     title = {An Inequality for Balanced Incomplete Block Designs},
     journal = {Ann. Math. Statist.},
     volume = {31},
     number = {4},
     year = {1960},
     pages = { 520-522},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177705921}
}

Mikhail, Wadie F. An Inequality for Balanced Incomplete Block Designs. Ann. Math. Statist., Tome 31 (1960) no. 4, pp.  520-522. http://gdmltest.u-ga.fr/item/1177705921/