A new family of life distributions

1969799 citationsJournal Article

Authors

Z. W. Birnbaum · University of Washington

Abstract

Summary A new two parameter family of life length distributions is presented which is derived from a model for fatigue. This derivation follows from considerations of renewal theory for the number of cycles needed to force a fatigue crack extension to exceed a critical value. Some closure properties of this family are given and some comparisons made with other families such as the lognormal which have been previously used in fatigue studies.

Topics & Keywords

Probabilistic and Robust Engineering Design Fatigue and fracture mechanics Statistical Distribution Estimation and Applications

UN Sustainable Development Goals

Responsible consumption and production

Publication Details

Published in: Journal of Applied Probability

Volume 6, Issue 2, pp. 319-327

DOI: 10.2307/3212003

Field-Weighted Citation Impact: 6.37