Stochastic Models in Reliability Engineering

6 An Upside-Down Bathtub-Shaped Failure Rate Model Using a DUS Transformation of Lomax Distribution

K.S.Deepthi and V.M.Chacko

DOI: 10.4324/9780429331527-6

Contents

• 6.1 Introduction
• 6.2 DUS-Lomax Distribution
• 6.3 Shapes
  • 6.3.1 Shape of Probability Density Function
  • 6.3.2 Shape of Failure Rate Function
• 6.4 Statistical Properties
  • 6.4.1 Moments
  • 6.4.2 Moment Generating Function
  • 6.4.3 Characteristic Function
  • 6.4.4 Quantile Function
  • 6.4.5 Entropy
• 6.5 Distributions of Maximum and Minimum
• 6.6 Estimation of Parameters
• 6.7 Asymptotic Distribution and Confidence Bounds
• 6.8 Stress-Strength Reliability Estimation
  • 6.8.1 The Maximum Likelihood Estimation of R
• 6.9 Simulation Study
• 6.10 Data Analysis
• 6.11 Conclusion
• References

6.1 Introduction