Abstract
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.
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Gupta, A.K., Zeng, WB., Wu, Y. (2010). Parametric Families of Lifetime Distributions. In: Probability and Statistical Models. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4987-6_4
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DOI: https://doi.org/10.1007/978-0-8176-4987-6_4
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4986-9
Online ISBN: 978-0-8176-4987-6
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