Asymptotic distribution of the number of rectangles arising in binomial trials
Z. Iqbal and A. Z. Memon (2009). Asymptotic distribution of the number of rectangles arising in binomial trials. Journal of Statistical Research, Vol. 43, No. 2, pp. 29-35.
Abstract
The simultaneous occurrence of independent and identical Binomial
trials at $n^{2}$ locations of an $n\times n$ lattice may randomly
produce a specified configuration comprising the same event. One
configuration being a rectangle, this paper finds factorial moments
of the number of these rectangles. Asymptotic behavior of the random
variable defined is also investigated.
