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EXPLOITING THE WAITING TIME PARADOX: APPLICATIONS OF THE SIZE-BIASING TRANSFORMATION

Published online by Cambridge University Press:  06 March 2006

Mark Brown
Mark Brown
Affiliation:
Department of Mathematics, The City College, CUNY, New York, NY, E-mail: CYBERGARF@aol.com
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Abstract

We consider the transformation T that takes a distribution F into the distribution of the length of the interval covering a fixed point in the stationary renewal process corresponding to F. This transformation has been referred to as size-biasing, length-biasing, the renewal length transformation, and the stationary lifetime operator. We review and develop properties of this transformation and apply it to diverse areas.

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Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 20 , Issue 2 , April 2006 , pp. 195 - 230
Copyright
© 2006 Cambridge University Press

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