An Inequality for Balanced Incomplete Block Designs

Murty, V. N.

Murty, V. N.

Ann. Math. Statist., Tome 32 (1961) no. 4, p. 908-909 / Harvested from Project Euclid

Résumé

For a resolvable balanced incomplete block design, R. C. Bose [1] obtained the inequality $b \geqq v + r - 1$, and P. M. Roy [2] and W. F. Mikhail [3] proved this inequality without the assumption of resolvability, but with the weaker assumption that $v$ is a multiple of $k$. In this note an alternative and simpler proof of Roy's theorem is given.

Publié le : 1961-09-14
Classification:

@article{1177704988,
     author = {Murty, V. N.},
     title = {An Inequality for Balanced Incomplete Block Designs},
     journal = {Ann. Math. Statist.},
     volume = {32},
     number = {4},
     year = {1961},
     pages = { 908-909},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177704988}
}

Murty, V. N. An Inequality for Balanced Incomplete Block Designs. Ann. Math. Statist., Tome 32 (1961) no. 4, pp.  908-909. http://gdmltest.u-ga.fr/item/1177704988/