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A Note on Classes of Lifetime Distributions
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I. Elbatal
Published/Copyright:
March 10, 2010
Abstract
Some classes of lifetime distributions based on the failure rate are considered, namely new better than used failure rate (NBUFR), new better than average renewal failure rate (NBARFR) and generalized new better than average renewal failure rate (GNBARFR). Moment inequalities and moment generating functions of these classes under mixture and convolution are studied. In addition, the relationship between the scaled TTT-transform and the NBARFR class is investigated.
Published Online: 2010-03-10
Published in Print: 2007-April
© Heldermann Verlag
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Keywords for this article
Moment inequality;
moment generating function;
closure properties;
TTT-transform
Articles in the same Issue
- Bivariate Density Classification by the Geometry of the Marginals
- Improving the Variability Function in Case of a Uni-Modal Probability Distribution
- New Results in Economic Statistical Quality Control
- Reliability Analysis Based on Scalar Fuzzy Variables
- A Bayesian Approach to Parallel Stress-Strength Models
- Max-Chart for Autocorrelated Processes
- A Note on Classes of Lifetime Distributions
- Sampling Risks for Chain Sampling Plans with Non-Constant Defective Probability
- Effects of Measurement Error on Controlling Two Dependent Process Steps
- GERT Analysis of m-consecutive-k-out-of-n:F Systems with Dependence
