Representation of Distributions Having Monotone or Bathtub-Shaped Failure Rates
- 1 April 1982
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Reliability
- Vol. R-31 (1) , 95-96
- https://doi.org/10.1109/tr.1982.5221244
Abstract
This paper examines the relationship between 1) distributions which have monotonic or bathtub shaped failure rates and 2) the exponential distribution. A method of representing random variables having monotonic or bathtub-shaped failure rate functions as transformations of the exponential and uniform distribution is given. These distributions can thus be simulated using a random number generator. A further application to the mathematical theory could be made by using such transformations of multivariate distributions to define various multivariate nonparametric classes of life distributions.Keywords
This publication has 3 references indexed in Scilit:
- Bathtub and Related Failure Rate CharacterizationsJournal of the American Statistical Association, 1980
- A Reliability Distribution with Increasing, Decreasing, Constant and Bathtub-Shaped Failure RatesTechnometrics, 1980
- Analytical hazard representations for use in reliability, mortality, and simulation studiesCommunications in Statistics - Simulation and Computation, 1979