A new family of life distributions

1969/08/01 by Z.W. Birnbaum, Z. W. Birnbaum, S.C. Saunders +1 · 25 citations
Decision Sciences · Engineering · Mathematics · #Probabilistic and Robust Engineering Design #Fatigue and fracture mechanics #Statistical Distribution Estimation and Applications

paper · doi:10.2307/3212003

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.

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