Abstract
Motivated by three failure data sets (lifetime of patients, failure time of hard drives and failure timeof a product), we introduce three different three-parameter distributions, study basic mathematical properties, address estimation by the method of maximum likelihood and investigate finite sample performance of the estimators. We show that one of the new distributions provides a better fit toeach data set than eight other distributions each having three parameters and three distributions each having two parameters.
Keywords
- Linear failure rate distribution
- maximum likelihood estimation
- Poisson distribution
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From February 2013 articles are under a Creative Commons license: CC BY-NC-ND You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work), you may not use the work for commercial purposes and you may not alter, transform, or build upon the work.