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RENEWAL CONVERGENCE RATES FOR DHR AND NWU LIFETIMES

Published online by Cambridge University Press:  11 January 2002

Kenneth S. Berenhaut  and
Robert Lund
Kenneth S. Berenhaut
Affiliation:
Department of Mathematics, Wake Forest University, Winston-Salem, NC 27109, E-mail: berenhks@wfu.edu
Robert Lund
Affiliation:
Department of Statistics, The University of Georgia, Athens, GA 30602-1952, E-mail: lund@stat.uga.edu
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Abstract

This article studies the geometric convergence rate of a discrete renewal sequence with decreasing hazard rate or, more generally, new worse than used lifetimes. Several variants of these structural orderings are considered. The results are derived from power series methods; roots of generating functions are the prominent issue. Optimality of the rates are considered. Examples demonstrating the utility of the results, as well as applications to Markov chains, are presented.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 16 , Issue 1 , January 2002 , pp. 67 - 84
Copyright
© 2002 Cambridge University Press

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