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Characterization of tails through hazard rate and convolution closure properties
Published online by Cambridge University Press: 14 July 2016
Abstract
We use the properties of the Matuszewska indices to show asymptotic inequalities for hazard rates. We discuss the relation between membership in the classes of dominatedly or extended rapidly varying tail distributions and corresponding hazard rate conditions. Convolution closure is established for the class of distributions with extended rapidly varying tails.
Keywords
- Type
- Part 3. Heavy Tail Phenomena
- Information
- Journal of Applied Probability , Volume 48 , Issue A: New Frontiers in Applied Probability (Journal of Applied Probability Special Volume 48A) , August 2011 , pp. 123 - 132
- Copyright
- Copyright © Applied Probability Trust 2011
References
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