Parametric Families of Lifetime Distributions

Arjun K. Gupta (), Wei-Bin Zeng () and Yanhong Wu ()
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Arjun K. Gupta: Bowling Green State University, Department of Mathematics and Statistics
Wei-Bin Zeng: University of Louisville, Department of Mathematics
Yanhong Wu: California State University Stanislaus, Department of Mathematics

Chapter Chapter 4 in Probability and Statistical Models, 2010, pp 71-86 from Springer

Abstract: 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.

Keywords: Failure Rate; Gamma Distribution; Weibull Distribution; Lifetime Distribution; Exponential Random Variable (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4987-6_4

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DOI: 10.1007/978-0-8176-4987-6_4

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