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Statistical inference of an α-quantile past lifetime function with applications.
- Source :
- AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 6, p15346-15360, 15p
- Publication Year :
- 2024
-
Abstract
- In reliability engineering and survival analysis, quantile functions are fundamental and often the most natural way to represent probability distributions and data samples. In this paper, the α-quantile function of past lifetime was estimated for right-censored data by applying the Kaplan-Meier survival estimator. The weak convergence of the proposed estimator to a Gaussian process was investigated. A confidence interval for the α-quantile of the past life function that does not depend on the density function was proposed. The strong convergence of the estimator to a Gaussian process was also discussed. The properties of the estimator and the confidence interval were investigated in a simulation study. Finally, two real datasets were analyzed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 177553534
- Full Text :
- https://doi.org/10.3934/math.2024745