A Note on Probability Distributions with Increasing Generalized Failure Rates

Authors:
Martin A. Lariviere
Affiliations:
Kellogg School of Management, Northwestern University, 2001 Sheridan Road, Evanston, Illinois 60208-2009
Venue:
Operations Research
Year:
2006

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Abstract

Distributions with an increasing generalized failure rate (IGFR) have useful applications in pricing and supply chain contracting problems. We provide alternative characterizations of the IGFR property that lead to simplify verifying whether the IGFR condition holds. We also relate the limit of the generalized failure rate and the moments of a distribution.