Bathtub-shaped failure rate functions

Bathtub-shaped failure rate functions The failure rate function is an important quantity characterizing life phenomena. Ideally, one would expect this function to exhibit a bathtub shape. In this paper, a comprehensive review of the known distributions that exhibit this shape is provided. Over 17 such distributions are identified. This review is especially important because almost all of the commonly known distributions in statistics do not exhibit the bathtub shape. Furthermore, it could serve as an important reference and encourage developments of further distributions that exhibit a bathtub shape. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quality & Quantity Springer Journals

Bathtub-shaped failure rate functions

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Publisher
Springer Netherlands
Copyright
Copyright © 2007 by Springer Science+Business Media B.V.
Subject
Social Sciences; Methodology of the Social Sciences; Social Sciences, general
ISSN
0033-5177
eISSN
1573-7845
D.O.I.
10.1007/s11135-007-9152-9
Publisher site
See Article on Publisher Site

Abstract

The failure rate function is an important quantity characterizing life phenomena. Ideally, one would expect this function to exhibit a bathtub shape. In this paper, a comprehensive review of the known distributions that exhibit this shape is provided. Over 17 such distributions are identified. This review is especially important because almost all of the commonly known distributions in statistics do not exhibit the bathtub shape. Furthermore, it could serve as an important reference and encourage developments of further distributions that exhibit a bathtub shape.

Journal

Quality & QuantitySpringer Journals

Published: Jan 4, 2008

References

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