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The alpha-mixture of survival functions
- Source :
- Journal of Applied Probability. 56:1151-1167
- Publication Year :
- 2019
- Publisher :
- Cambridge University Press (CUP), 2019.
-
Abstract
- This paper presents a flexible family which we call the $\alpha$ -mixture of survival functions. This family includes the survival mixture, failure rate mixture, models that are stochastically closer to each of these conventional mixtures, and many other models. The $\alpha$ -mixture is endowed by the stochastic order and uniquely possesses a mathematical property known in economics as the constant elasticity of substitution, which provides an interpretation for $\alpha$ . We study failure rate properties of this family and establish closures under monotone failure rates of the mixture’s components. Examples include potential applications for comparing systems.
- Subjects :
- Statistics and Probability
Property (philosophy)
General Mathematics
020206 networking & telecommunications
Failure rate
02 engineering and technology
01 natural sciences
Stochastic ordering
Interpretation (model theory)
010104 statistics & probability
Alpha (programming language)
Monotone polygon
Constant elasticity of substitution
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
0101 mathematics
Statistics, Probability and Uncertainty
Mathematics
Subjects
Details
- ISSN :
- 14756072 and 00219002
- Volume :
- 56
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Probability
- Accession number :
- edsair.doi...........c9d55d828ba286fc844b737c1d52a5dd