Log-location-scale-log-concave distributions for survival and reliability analysis Article Swipe

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YOU? · · 2015 · Open Access · · DOI: https://doi.org/10.1214/15-ejs1089

We consider a novel sub-class of log-location-scale models for survival and reliability data formed by restricting the density of the underlying location-scale distribution to be log-concave. These models display a number of attractive properties. We particularly explore the shapes of the hazard functions of these, LLSLC, models. A relatively elegant, if partial, theory of hazard shape arises under a further minor constraint on the hazard function of the underlying log-concave distribution. Perhaps the most useful LLSLC models are contained in a class of three-parameter distributions which allow constant, increasing, decreasing, bathtub and upside-down bathtub shapes for their hazard functions.

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Mathematics Bathtub Hazard Scale (ratio) Statistics Reliability (semiconductor) Scale parameter Constant (computer programming) Shape parameter Constraint (computer-aided design) Reliability theory Failure rate Computer science Geometry Geography Power (physics) Archaeology Chemistry Cartography Programming language Organic chemistry Physics Quantum mechanics

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Type: article
Language: en
Landing Page: https://doi.org/10.1214/15-ejs1089
OA Status: gold
Cited By: 12
References: 31
Related Works: 10
OpenAlex ID: https://openalex.org/W2210313936

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DOI: https://doi.org/10.1214/15-ejs1089

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Title: Log-location-scale-log-concave distributions for survival and reliability analysis

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Language: en

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Publication year: 2015

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Publication date: 2015-01-01

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Authors: M. C. Jones, Angela Noufaily

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Landing page: https://doi.org/10.1214/15-ejs1089

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Concepts: Mathematics, Bathtub, Hazard, Scale (ratio), Statistics, Reliability (semiconductor), Scale parameter, Constant (computer programming), Shape parameter, Constraint (computer-aided design), Reliability theory, Failure rate, Computer science, Geometry, Geography, Power (physics), Archaeology, Chemistry, Cartography, Programming language, Organic chemistry, Physics, Quantum mechanics

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Cited by: 12

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