Some Reliability and Other Properties of Beta-Transformed Random Variables
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Abstract
The reliability properties of beta-transformed random variables are discussed. A necessary and sufficient condition for a beta-transformed geometric random variable to follow a power series distribution is derived. It is shown that a beta-transformed member of the Katz family does not belong to the Katz family unless it is a geometric distribution, thereby getting a characterization.
Acknowledgements
We would like to thank the referees for their constructive remarks that improved the presentation of the paper.
References
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Articles in the same Issue
- Frontmatter
- Some Reliability and Other Properties of Beta-Transformed Random Variables
- Bayesian Prediction Bounds for the Exponential-type Distribution Based on Generalized Progressive Hybrid Censoring Scheme
- Cubic Transmuted-G Family of Distributions and Its Properties
- On a Generalization of the Weibull Distribution and Its Application in Quality Control
Articles in the same Issue
- Frontmatter
- Some Reliability and Other Properties of Beta-Transformed Random Variables
- Bayesian Prediction Bounds for the Exponential-type Distribution Based on Generalized Progressive Hybrid Censoring Scheme
- Cubic Transmuted-G Family of Distributions and Its Properties
- On a Generalization of the Weibull Distribution and Its Application in Quality Control
