Rights accessRestricted access - author's decision
In this thesis we propose an estimator for life expectancy based on the idea of partitioning the condi- tional mean of a random variable into different components. Every component of the Compounded Life Expectancy (CLE) estimator represents a fraction of the population of interest and gives a notion of its contribution to the overall life expectancy. Our approach relies on the correspondence between the cumulative distribution function of a random variable and its quantile function, allowing us to express the conditional mean in terms of conditional quantiles. Every component is related to a certain set of quantiles and therefore to a fraction of our population. A method for quantile regression in the presence of censored data is proposed to estimate the underlying conditional quantile function. Results of two simulation studies show a good performance of the proposed estimator under different scenarios.
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder. If you wish to make any use of the work not provided for in the law, please contact: email@example.com