Parametric Families of Lifetime Distributions

  • Arjun K. Gupta
  • Wei-Bin Zeng
  • Yanhong Wu


In this chapter, we present four parametric families of lifetime distributions: Weibull distribution, gamma distribution, change-point model, and mixture exponential distribution. They represent parametric extensions of exponential distribution under its two fundamental characteristics: constant failure rate and memoryless property. The notions of increasing (decreasing) failure rate along with a more general mixture Erlang distribution family are also introduced.


Failure Rate Gamma Distribution Weibull Distribution Lifetime Distribution Exponential Random Variable 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsBowling Green State UniversityBowling GreenUSA
  2. 2.Department of MathematicsUniversity of LouisvilleLouisvilleUSA
  3. 3.Department of MathematicsCalifornia State University StanislausTurlockUSA

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