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

Part of: Combinatorial probability Stochastic processes Distribution theory Special processes

Published online by Cambridge University Press:  14 July 2016

Sunil K. Dhar  and
Xulun Jiang
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.
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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.

Keywords

DISTRIBUTION FUNCTIONINDEPENDENCE

MSC classification

Primary: 60C05: Combinatorial probability
Secondary: 60G55: Point processes 60K05: Renewal theory 60K10: Applications (reliability, demand theory, etc.) 62E15: Exact distribution theory

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 4 , December 1995 , pp. 1014 - 1027
Copyright
Copyright © Applied Probability Trust 1995 

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