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Probability bounds on the finite sum of the binary sequence of order k

Published online by Cambridge University Press:  14 July 2016

Sunil K. Dhar*
Affiliation:
New Jersey Institute of Technology
Xulun Jiang*
Affiliation:
New Jersey Institute of Technology
*
Postal address: Center for Applied Mathematics and Statistics and Department of Mathematics, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, USA.
Postal address: Center for Applied Mathematics and Statistics and Department of Mathematics, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, USA.

Abstract

The cumulative distribution of the finite sum of the binary sequence of order k is studied and some of its applications discussed. Certain properties of this sequence are investigated and uniformly superior bounds for the cumulative distribution under minimal information on the ‘success' probabilities are derived.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1995 

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