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Statistical Inference on Residual LifeQuantile Residual Life

Statistical Inference on Residual Life: Quantile Residual Life [As mentioned in Chapter 2, the mean residual life function is sensitive to outliers. In this chapter, as an alternative we consider the quantile residual life function, which is robust under any skewed distribution. We first review asymptotic theories of the quantile function and quantile residual life function, and derive the quantile residual life process as a Brownian bridge. We also discuss parametric and nonparametric inferences on the quantile residual life function for one-sample, two-sample, and regression settings.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Statistical Inference on Residual LifeQuantile Residual Life

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/lp/springer-journals/statistical-inference-on-residual-life-quantile-residual-life-Sv00cwxQHh
Publisher
Springer New York
Copyright
© Springer Science+Business Media New York 2014
ISBN
978-1-4939-0004-6
Pages
27 –76
DOI
10.1007/978-1-4939-0005-3_3
Publisher site
See Chapter on Publisher Site

Abstract

[As mentioned in Chapter 2, the mean residual life function is sensitive to outliers. In this chapter, as an alternative we consider the quantile residual life function, which is robust under any skewed distribution. We first review asymptotic theories of the quantile function and quantile residual life function, and derive the quantile residual life process as a Brownian bridge. We also discuss parametric and nonparametric inferences on the quantile residual life function for one-sample, two-sample, and regression settings.]

Published: Dec 14, 2013

Keywords: Survival Function; Residual Life; Quantile Function; Brownian Bridge; Residual Lifetime

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