Sk. Dhar et Xl. Jiang, PROBABILITY BOUNDS ON THE FINITE SUM OF THE BINARY SEQUENCE OF ORDER K, Journal of Applied Probability, 32(4), 1995, pp. 1014-1027
The cumulative distribution of the finite sum of the binary sequence o
f order k is studied and some of its applications discussed. Certain p
roperties of this sequence are investigated and uniformly superior bou
nds for the cumulative distribution under minimal information on the '
success' probabilities are derived.