A new family of life distributions
- 1 April 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 6 (02) , 319-327
- https://doi.org/10.1017/s0021900200032848
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
- A Probabilistic Interpretation of Miner’s RuleSIAM Journal on Applied Mathematics, 1968
- A Stochastic Characterization of Wear-out for Components and SystemsThe Annals of Mathematical Statistics, 1966
- A Statistical Model for Life-Length of MaterialsJournal of the American Statistical Association, 1958